SAITO Seiji
Faculty of Science and Engineering Department of Mathematical Sciences
Professor
Last Updated :2024/10/04

Researcher Profile and Settings

Research Interests

  • ファジィ最適化 差分方程式
  • ファジィ微分方程式
  • 常微分方程式
  • difference equation
  • fuzzy optmization
  • fuzzy differential equation
  • ordinary differential equation

Research Areas

  • Natural sciences / Mathematical analysis

Research Experience

  • 国立成功工学部客員教授, 2007 - 2007
  • 大阪大学大学院助教授, 2002 - 2007
  • Doshisha University, 2007 -
  • ハルピン工業大学理学系数学博士後期課程科目担当教授, 2007 -
  • 大阪大学大学院講師, 1995 - 2002
  • Osaka University, School of Engineering, 1992 - 1995
  • Osaka University, School of Engineering, 1989 - 1992

Education

  • Osaka University, 工学研究科, 応用物理学専攻（数理工学コース）, - 1989
  • Osaka University, Graduate School, Division of Engineering, - 1989
  • Osaka University, 工学研究科, 応用物理学専攻（数理工学コース）, - 1986
  • Osaka University, Graduate School, Division of Engineering, - 1986

Association Memberships

  • 日本経営システム学会
  • 日本知能情報ファジィ学会
  • 日本数学会
  • 日本応用数理学会
  • 日本オペレーションズリサーチ学会
  • 数理科学協会

Committee Memberships

  • 関西支部運営委員・監事, 2004 - 2007, 日本知能情報ファジィ学会, Society, 日本知能情報ファジィ学会
  • 評議員, 2007 - , 日本経営システム学会, Society, 日本経営システム学会
  • 関西支部運営委員会 会計, 2002 - 2003, 日本知能情報ファジィ学会, Society, 日本知能情報ファジィ学会

Published Papers

  • Global Asymptotic Stability of Non-recoverable Epidemic Models with Small Basic Reproduction Numbers
    Ikezoe Shunsuke; Saito Seiji
    同志社大学ハリス理化学研究報告 = The Harris science review of Doshisha University, Alternative:Harris Science Research Institute of Doshisha University, 57(4) 277 - 282, Jan. 2017
    DOI URL
  • An Extension of Kocic-Ladas's Oscillatory Theorem Concerning Difference Equations
    Ito Satoshi; Saito Seiji
    同志社大学ハリス理化学研究報告 = The Harris science review of Doshisha University, Alternative:Harris Science Research Institute of Doshisha University, 57(4) 283 - 287, Jan. 2017
    DOI URL
  • Analysis of periodic solutions for the Nicholson-Bailey model
    Saito Seiji
    The science and engineering review of Doshisha University, Doshisha University, 53(3) 155 - 158, Oct. 2012
    DOI URL
  • Analysis of Stability and Chaos concerning Difference Equations
    Saito Seiji
    The science and engineering review of Doshisha University, Doshisha University, 51(2) 32 - 39, Jul. 2010
    DOI URL
  • An Approach to Shortest Path Problem between Two Points of Free Spaces Including Obstacles with Fuzzy Boundaries
    Saito Seiji; Hiramatsu Tatsuya
    The science and engineering review of Doshisha University, Doshisha University, 49(2) [92] - 99, Jul. 2008
    DOI URL
  • Multi-objective facility location problems in competitive environments
    T Uno; H Ishii; S Saito; S Osumi
    MULTI-OBJECTIVE PROGRAMMING AND GOAL PROGRAMMING, SPRINGER-VERLAG BERLIN, 263 - 268, 2003, International conference proceedings

MISC

  • Chaotic Difference Equations in Metric Spaces of Fuzzy Sets (Decision Making Processes under Uncertainty and Ambiguity)
    SAITO Seiji
    RIMS Kokyuroku, Kyoto University, 1682 123 - 130, Apr. 2010
  • On asymptotic behaviors of positive solutions for fuzzy difference equations (Mathematical Analysis of Uncertainty and Decision Making)
    SAITO Seiji
    RIMS Kokyuroku, Kyoto University, 1636 111 - 118, Apr. 2009
  • Eventual Stability Criteria for Periodic Points of Michio Morishima's Example(Nonlinear Analysis and Convex Analysis)
    Saito Seiji
    RIMS Kokyuroku, Kyoto University, 1544 216 - 221, Apr. 2007
  • ファジィ集合のコンパクト性
    齋藤 誠慈
    ソフトサイエンスワークショップ講演論文集．日本知能情報ファジィ学会ソフトサイエンス研究部会, 2007
  • 曖昧な境界をもつ障害物がある自由スペースの最適パス
    齋藤 誠慈; 石井博昭; 葉光毅; 夏皓清
    第9回土木・建築ソフトコンピューティング応用シンポジウム講演論文集，日本知能情報ファジィ学会 土木・建築ソフトコンピューティング応用研究部会, 43785 , 2007
  • Eventually uniformly asymptotical stability of periodic points for excess demand difference equations in economical equilibrium theory(Mathematics in a Decision Making with Uncertainties and Its Applications)
    Saito Seiji; Ishii Hiroaki
    RIMS Kokyuroku, Kyoto University, 1548 186 - 193, 2007
  • On eventually uniformly asymptotical stability to finite coverings of periodic points for difference equations
    齋藤 誠慈; 石井博昭
    京都大学数理解析研究所講究録, 1547 185 - 190, 2007
  • On the Compact sets of fuzzy numbers
    /,12-15, 2007
  • On eventually uniformly asymptotical stability to finite coverings of periodic points for difference equations
    1547 185 - 190, 2007
  • Generator of Pseudo-random Number for Encryption by Linear Congruential Method(The Development of Information and Decision Processes)
    Kimura Motoki; Saito Seiji
    RIMS Kokyuroku, Kyoto University, 1504 123 - 135, Jul. 2006
  • Fuzzy Equations and Fuzzy Variational Equations
    齋藤 誠慈; H. Ishii
    206 - 210, 2006
  • 線形合同法による暗号化用擬似乱数生成に関する検定と相関関係
    齋藤 誠慈; 木村大生
    京都大学数理解析研究所講究録, 1505 123 - 135, 2006
  • ワルラス均衡点の関する価格調整方程式の安定性について
    齋藤 誠慈; 石井博昭
    神戸学院経済学論集, 38(1+2) 31 - 40, 2006
  • バナッハ空間におけるファジィ微分方程式の初期値連続依存性について
    齋藤 誠慈; 陳明浩; 石井博昭
    京都大学数理解析研究所講究録, 1484 171 - 177, 2006
  • ファジィ微分方程式の変分方程式について
    齋藤 誠慈; 石井博昭
    京都大学数理解析研究所講究録, 1474 224 - 233, 2006
  • 最大クリーク問題から導出される離散型2次計画問題に対する固有値解析と分子コンピューティングによるアプローチ
    齋藤 誠慈; 藤原祐介; 谷田純; 石井博昭
    統計数理解析研究所共同研究レポート, 191 66 - 76, 2006
  • Fuzzy Equations and Fuzzy Variational Equations
    Asian Fuzzy Systems Society International Conference, 206 - 210, 2006
  • On Variational Equations of Fuzzy Differential Equations
    1474 224 - 233, 2006
  • An Approach to Discrete Quadratic Programming Arising from the Maximum Clique Problem via Matrices Analysis and Molecular Computing
    191 66 - 76, 2006
  • 最大クリーク問題に関するDNAコンピューティングと行列解析による最適化
    齋藤 誠慈; 丸山健悟; 小倉裕介; 谷田 純
    京都大学数理解析研究所講究録,, 1477 43788 , 2005
  • 完備距離空間におけるシャウダーの不動点定理と無限区間ファジィ境界値問題
    齋藤 誠慈; 石井博昭
    京都大学数理解析研究所講究録, 1457 241 - 246, 2005
  • Global Stability of Price Dynamics Concerning Compatibility Conditions with the Excess Demand
    齋藤 誠慈; H. Ishii
    第11回アジア太平洋マネージメント国際会議紀要, 15 - 15, 2005
  • 離散２次計画問題の分子計算アルゴリズム
    齋藤 誠慈; 藤原祐介; 谷田純; 小倉裕介; 石井博昭
    神戸学院経済学論集, 37(1+2) 27 - 38, 2005
  • Schauder's Fixed Point Theorems Concerning Complete Metric Spaces of Fuzzy Numbers
    齋藤 誠慈
    京都大学数理解析研究所講究録, 1415 110 - 117, 2005
  • パラメータ関数に対するインベックス定理の拡張と最適化
    齋藤 誠慈; 橋本雄弥; 石井博昭
    統計数理解析研究所共同研究レポート, 178 346 - 358, 2005
  • 無限個の不連続点をもつ目的関数に対する最適化問題の可解性
    齋藤 誠慈; 石井博昭
    京都大学数理解析研究所講究録, 京都大学, 1409 59 - 66, 2005
  • Global Stability of Price Dynamics Concerning Compatibility Conditions with the Excess Demand
    15 - 15, 2005
  • An Algorithm for Discrete Quadratic Programming via Molecular Computation
    37(1+2) 27 - 38, 2005
  • Schauder's Fixed Point Theorems Concerning Complete Metric Spaces of Fuzzy Numbers
    1415 110 - 117, 2005
  • On Schauder's Fixed Point Theorem in Sets of Fuzzy Numbers and Its Extension
    齋藤 誠慈
    115 - 120, 2004
  • マクシマックス定理の拡張による無限個の制約条件付きファジィ最適化問題
    齋藤 誠慈; 石井博昭
    統計数理解析研究所共同研究レポート, 168 208 - 217, 2004
  • Visual Approaches for Numerical Analysis Concerning Fuzzy Differential Equations
    齋藤 誠慈; 里見憲男; 石井博昭
    京都大学数理解析研究所講究録, 1383 43 - 47, 2004
  • Fuzzy Boundary Value Problems Concerning Fredholm Equations and Nagumo's Conditions
    齋藤 誠慈; 石井博昭
    京都大学数理解析研究所講究録, 1383 35 - 42, 2004
  • ファジィ微分方程式の数値解析と可視化
    齋藤 誠慈; 里見憲男; 石井博昭
    京都大学数理解析研究所講究録, 1373 184 - 193, 2004
  • Fredholm Equations and Volterra Equations Arising from Fuzzy Boundary Value Problems
    齋藤 誠慈
    京都大学数理解析研究所講究録, 1372 208 - 214, 2004
  • Invex Approaches to Mathematical Programming
    齋藤 誠慈; 石井博昭
    京都大学数理解析研究所講究録, 1349 43472 , 2004
  • Fuzzy types of Nagumo's conditions independent of boundary conditions and applications to fuzzy boundary value problems
    S Saito
    8TH WORLD MULTI-CONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL IX, PROCEEDINGS, INT INST INFORMATICS & SYSTEMICS, 302 - 306, 2004
  • Piecewise Smooth Optimization Problems via Invex Methods and Applications Concerning Walrasian Equilibrium
    齋藤 誠慈
    神戸学院経済学論集, 35(4) 31 - 42, 2004
  • Competitive Facility Location Problems
    齋藤 誠慈; T. Uno; H. Ishii; S. Osumi
    12 79 - 85, 2004
  • Qualitative Approaches to Boundary Value Problems of Fuzzy Differential Equations by Theory of Ordinary Differential Equations
    齋藤 誠慈
    5(1) 121 - 130, 2004
  • On Schauder's Fixed Point Theorem in Sets of Fuzzy Numbers and Its Extension
    Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty, 115 - 120, 2004
  • Visual Approaches for Numerical Analysis Concerning Fuzzy Differential Equations
    1383 43 - 47, 2004
  • Fuzzy Boundary Value Problems Concerning Fredholm Equations and Nagumo's Conditions
    1383 35 - 42, 2004
  • Fredholm Equations and Volterra Equations Arising from Fuzzy Boundary Value Problems
    1372 208 - 214, 2004
  • Invex Approaches to Mathematical Programming
    1349 43472 , 2004
  • Fuzzy Types of Nagumo's Conditions Independent of Boundary Conditions and Applications to Fuzzy Boundary Value Problems
    World Multi-Conference on Systemics, Cybernetics and Informatics, 302 - 306, 2004
  • Piecewise Smooth Optimization Problems via Invex Methods and Applications Concerning Walrasian Equilibrium
    35(4) 31 - 42, 2004
  • Competitive Facility Location Problems
    Central European Journal of Operations Research, 12 79 - 85, 2004
  • Qualitative Approaches to Boundary Value Problems of Fuzzy Differential Equations by Theory of Ordinary Differential Equations
    J. Nonlinear and Convex Analysis, 5(1) 121 - 130, 2004
  • コンパクトLファジィ最適化問題は実最適解で実最適値をもつ
    齋藤 誠慈; 石井博昭
    統計数理解析研究所共同研究レポート, 161 118 - 126, 2003
  • Profit Maximization Problems of Oil Drilling
    齋藤 誠慈; H. Ishii
    43473 , 2003
  • On the Relationship between Differential Inclusions and Ordinary Differential Equations Concerning the Stability Analysis of Fuzzy Differential Equations
    齋藤 誠慈; H. Ishii
    ファジィシステムシンポジウム講演論文集, 日本知能情報ファジィ学会, 19 379 - 382, 2003
  • Invex Analysis and its Applications
    齋藤 誠慈; H. Ishii
    605 - 612, 2003
  • A Competitive Model for Locating Obnoxious Facilities
    齋藤 誠慈; T. Uno; H. Ishii; S. Osumi
    551 - 554, 2003
  • Fuzzy Optimization Problems Concerning Fuzzy Differential Equations with Infinite Constraints
    齋藤 誠慈; H. Ishii
    73 - 76, 2003
  • On Solving Equations Arising from Optimizations Problems by Some Generalized Newton Method
    齋藤 誠慈
    8 191 - 200, 2003
  • Profit Maximization Problems of Oil Drilling
    International Conference on Planning and Design, 43473 , 2003
  • On the Relationship between Differential Inclusions and Ordinary Differential Equations Concerning the Stability Analysis of Fuzzy Differential Equations
    Fuzzy System Symposium, 379 - 382, 2003
  • Invex Analysis and its Applications
    Asia Pacific Management Conference, 605 - 612, 2003
  • A Competitive Model for Locating Obnoxious Facilities
    International Fuzzy Systems Association World Congress, 551 - 554, 2003
  • Fuzzy Optimization Problems Concerning Fuzzy Differential Equations with Infinite Constraints
    International Fuzzy Systems Association World Congress, 73 - 76, 2003
  • On Solving Equations Arising from Optimizations Problems by Some Generalized Newton Method
    Scientiae Mathematicae Japonicae Online, 8 191 - 200, 2003
  • L-ファジィ最適化問題の解法に関するアプローチ
    齋藤 誠慈; 石井博昭
    統計数理解析研究所共同研究レポート, 148 128 - 133, 2002
  • 石油井戸に関するファジィ微分方程式に関する最適化問題
    齋藤 誠慈; 石井博昭
    京都大学数理解析研究所講究録, 1309 240 - 248, 2002
  • 無限個の制約条件を有する最適化問題について
    齋藤 誠慈; 石井博昭
    京都大学数理解析研究所講究録, 1306 109 - 117, 2002
  • Minimax Theorems of Convexlike Functions
    齋藤 誠慈; 石井博昭
    京都大学数理解析研究所講究録, 1297 186 - 191, 2002
  • ファジィ最適化における全順序関係について
    齋藤 誠慈; 石井博昭
    京都大学数理解析研究所講究録, 1263 151 - 159, 2002
  • Existence and Uniqueness of Solutions for Fuzzy Boundary Value Problems
    齋藤 誠慈
    京都大学数理解析研究所講究録, 1246 200 - 209, 2002
  • Minimax Theorems of Convexlike Functions
    1297 186 - 191, 2002
  • Existence and Uniqueness of Solutions for Fuzzy Boundary Value Problems
    1246 200 - 209, 2002
  • L-ファジィ解析によるLーファジィ最適化問題
    齋藤 誠慈; 石井博昭
    第17回ファジィシステムシンポジウム講演論文集, 177 - 180, 2001
  • On Boundary Value Problems of Fuzzy Differential Equations
    齋藤 誠慈; H. Ishii
    152 - 159, 2001
  • L-Fuzzy optimization problems by parametric representation
    Seiji Saito; Hiroaki Ishii
    Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, 2 1173 - 1177, 2001
    DOI URL
  • Fuzzy optimization problems by parametric representation in the two-dimensional metric space
    S Saito; H Ishii
    JOINT 9TH IFSA WORLD CONGRESS AND 20TH NAFIPS INTERNATIONAL CONFERENCE, PROCEEDINGS, VOLS. 1-5, IEEE, 65 - 69, 2001
  • L-fuzzy Analysis for Fuzzy Optimization Problems by Parametric Representation
    齋藤 誠慈; H. Ishii
    43472 , 2001
  • A Competitive Model for Locating Helpful but Obnoxious Facilities
    齋藤 誠慈; T. Uno; H. Ishii; S. Osumi
    237 - 244, 2001
  • An introduction to competitive facility location problems with vagueness
    T Uno; H Ishii; S Saito; S Osumi
    KNOWLEDGE-BASED INTELLIGENT INFORMATION ENGINEERING SYSTEMS & ALLIED TECHNOLOGIES, PTS 1 AND 2, I O S PRESS, 69 1375 - 1379, 2001
  • 常微分方程式の定性解析によるファジィ境界値問題
    齋藤 誠慈
    京都大学数理解析研究所講究録, 1254 163 - 171, 2001
  • On Boundary Value Problems of Fuzzy Differential Equations
    Vietnam-Japan Bilateral Symposium on Fuzzy Systems and Applications, 152 - 159, 2001
  • L-fuzzy Optimization Problems by Parametric Representation
    IEEE Systems, Man and Cybernetics 2001, 153 - 158, 2001
  • Fuzzy Optimization Problems in the Two-dimensional Metric Space
    Proceedings of the Joint 9th IFSA World Congress and 20th NAFIPS International Conference, 65 - 69, 2001
  • L-fuzzy Analysis for Fuzzy Optimization Problems by Parametric Representation
    2001 International Conference on Optimization and Optimal Control, 43472 , 2001
  • A Competitive Model for Locating Helpful but Obnoxious Facilities
    Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications, 237 - 244, 2001
  • An introduction to competitive facility location problems with vagueness
    T Uno; H Ishii; S Saito; S Osumi
    KNOWLEDGE-BASED INTELLIGENT INFORMATION ENGINEERING SYSTEMS & ALLIED TECHNOLOGIES, PTS 1 AND 2, I O S PRESS, 69 1375 - 1379, 2001
  • ファジィ数の表現とファジィ微分
    齋藤 誠慈; 陳明浩; 石井博昭
    第16回ファジィシステムシンポジウム講演論文集, 225 - 226, 2000
  • ファジィ集合の表現とファジィ最適化問題
    齋藤 誠慈; 陳明浩; 石井博昭
    統計数理解析研究所共同研究リポート, 135 14 - 15, 2000
  • ファジィ微分方程式の解の吸引性について
    齋藤 誠慈
    京都大学数理解析研究所講究録, 1216 255 - 265, 2000
  • ファジィ微分方程式と最適化への応用
    齋藤 誠慈; 陳明浩; 石井博昭
    京都大学数理解析研究所講究録, 1174 83 - 95, 2000
  • 競合性を考慮した好ましくない施設の配置問題
    齋藤 誠慈; 宇野剛史; 石井博昭; 大角盛広
    京都大学数理解析研究所講究録, 京都大学, 1174 71 - 82, 2000
  • An Algorithm for Solving Nonlinear Equations Arising from Nonsmooth Optimization Problems via Some Generalized Newton Method
    齋藤 誠慈; 石井博昭
    京都大学数理解析研究所講究録, 1132 64 - 67, 2000
  • Approaches to Fuzzy Optimization Problems by Some Parametric Representation in R2 or R3
    齋藤 誠慈; M.Chen; H. Ishii
    127 - 131, 2000
  • Representation of Fuzzy Numbers and Fuzzy Differential Equations-
    1174 83 - 95, 2000
  • An Algorithm for Solving Nonlinear Equations Arising from Nonsmooth Optimization Problems via Some Generalized Newton Method
    1132 64 - 67, 2000
  • Approaches to Fuzzy Optimization Problems by Some Parametric Representation in R2 or R3
    International Workshop on Intelligent Systems Resolution, 127 - 131, 2000
  • A Nonsmooth Version of Variational Problems
    齋藤 誠慈; H. Ishii
    657 - 660, 1999
  • Remarks on Some Generalized Newton Method for Solving Nonlinear Equations Arising from Fuzzy Optimization Problems
    齋藤 誠慈; H. Ishii
    359 - 361, 1999
  • A Nonsmooth Version of Variational Problems
    Asia-Pacific Conference on Industrial Engineering and Management Systems, 657 - 660, 1999
  • Remarks on Some Generalized Newton Method for Solving Nonlinear Equations Arising from Fuzzy Optimization Problems
    International Fuzzy Systems Association World Congress, 359 - 361, 1999
  • Exponential Decay of Solutions of Linear Evolution Equation in a Banach Space
    齋藤 誠慈; 中口悦史; 八木厚志
    44, 1996
  • Exponential Decay of Solutions of Linear Evolution Equation in a Banach Space
    Mathematica Japonica, 44, 1996
  • Asymptotic Equivalence of Qausilinear Ordinary Differential Systems
    齋藤 誠慈
    37(3) 503 - 513, 1992
  • Asymptotic Equivalence of Qausilinear Ordinary Differential Systems
    Mathematica Japonica, 37(3) 503 - 513, 1992
  • THE CONTINUOUS DEPENDENCE OF PERIODIC-SOLUTIONS FOR THE PERIODIC QUASI-LINEAR ORDINARY DIFFERENTIAL SYSTEM CONTAINING A PARAMETER
    S SAITO; M YAMAMOTO
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, 159(1) 110 - 126, Jul. 1991
  • THE CONTINUOUS DEPENDENCE OF PERIODIC-SOLUTIONS FOR THE PERIODIC QUASI-LINEAR ORDINARY DIFFERENTIAL SYSTEM CONTAINING A PARAMETER
    S SAITO; M YAMAMOTO
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, 159(1) 110 - 126, Jul. 1991
  • GLOBAL BEHAVIOR OF SOLUTIONS OF QUASILINEAR ORDINARY DIFFERENTIAL-SYSTEMS
    S SAITO
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, 65(2) 47 - 50, Feb. 1989
  • Global Stability of Solutions for Quasilinear Ordinary Differential Systems
    齋藤 誠慈
    34(5) 821 - 829, 1989
  • Boundary Value Problems of Quasilinear Ordinary Differential Systems on a Finite Interval
    齋藤 誠慈; M. Yamamoto
    34(3) 447 - 458, 1989
  • Boundary Value Problems of Quasilinear Ordinary Differential Systems on an Infinite Interval
    齋藤 誠慈; M. Yamamoto
    34(3) 433 - 445, 1989
  • Periodic Solutions for the Periodic Quasilinear Ordinary Differential System
    齋藤 誠慈; M. Yamamoto
    34(1) 111 - 121, 1989
  • Global Stability of Solutions for Quasilinear Ordinary Differential Systems
    Mathematica Japonica, 34(5) 821 - 829, 1989
  • Boundary Value Problems of Quasilinear Ordinary Differential Systems on a Finite Interval
    Mathematica Japonica, 34(3) 447 - 458, 1989
  • Boundary Value Problems of Quasilinear Ordinary Differential Systems on an Infinite Interval
    Mathematica Japonica, 34(3) 433 - 445, 1989
  • Global Behavior of Solutions of Quasilinear Ordinary Differential Systems
    Proceedings of Japan Academy, 65A(2) 47 - 50, 1989
  • Periodic Solutions for the Periodic Quasilinear Ordinary Differential System
    Mathematica Japonica, 34(1) 111 - 121, 1989
  • 準線形常微分方程式の解の安定性について
    齋藤 誠慈; 山本稔
    電子情報通信学会非線形研究会論文集, NLP87(69) 43724 , 1988
  • (On the stability of solutions for quasilinear ordinary differential equations)
    NLP87(69) 43724 , 1988
  • ON PERIODIC-SOLUTIONS FOR THE PERIODIC QUASILINEAR ORDINARY DIFFERENTIAL SYSTEM CONTAINING A PARAMETER
    S SAITO; M YAMAMOTO
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, 63(10) 382 - 385, Dec. 1987
  • ON PERIODIC-SOLUTIONS FOR THE PERIODIC QUASILINEAR ORDINARY DIFFERENTIAL SYSTEM CONTAINING A PARAMETER
    S SAITO; M YAMAMOTO
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, 63(10) 382 - 385, Dec. 1987
  • ON THE EXISTENCE OF SOLUTIONS FOR THE BOUNDARY-VALUE PROBLEM OF QUASI-LINEAR DIFFERENTIAL-EQUATIONS ON AN INFINITE INTERVAL
    S SAITO; M YAMAMOTO
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, 63(6) 190 - 193, Jun. 1987
  • ON THE EXISTENCE OF PERIODIC-SOLUTIONS FOR PERIODIC QUASI-LINEAR ORDINARY DIFFERENTIAL-SYSTEMS
    S SAITO; M YAMAMOTO
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, 63(3) 62 - 65, Mar. 1987
  • ON THE EXISTENCE OF PERIODIC-SOLUTIONS FOR PERIODIC QUASI-LINEAR ORDINARY DIFFERENTIAL-SYSTEMS
    S SAITO; M YAMAMOTO
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, 63(3) 62 - 65, Mar. 1987
  • On the Existence of Solutions for the Boundary Value Problem of Quasilinear Differential Equations on an Infinite Interval
    Proceedings of Japan Academy, 63A(6) 190 - 193, 1987

Books etc

  • An Introduction to Mathematical Models-Modeling, Solutions and Qualitative Analysis-
    SAITO, Seiji
    裳華房, Oct. 2020, Single work
  • 常微分方程式とラプラス変換
    齋藤 誠慈
    裳華房, 2006, Single work, Scholarly book
  • An Algorithm for Discrete Quadratic Programming via Analysis of Adjacency Matrices and Molecular Computing
    SAITO Seiji
    International Conference on Nonlinear Analysis and Convex Analysis, 2006, Joint work, 553-563, Scholarly book
  • 不確実・不確定性の数理
    齋藤 誠慈; 石井博昭; 森田浩
    大阪大学出版会, 2004, Joint work, Scholarly book
  • On Schauder's Fixed Point Theorem in Complete Metric Spaces of Fuzzy Numbers and Applications to Fuzzy Boundary Value Problems
    SAITO Seiji
    International Conference on Fuzzy Systems, AFSS'2004, 2004, Single work, 31-35, Scholarly book
  • On Some Topics of Fuzzy Differential Equations and Fuzzy Optimization Problems via a Parametric Representation of Fuzzy Numbers
    SAITO Seiji
    Contemporary Differential Equations and Applications,Nova Science Publishers, Inc., 2004, Single work, 49-66, Scholarly book
  • Boundary Value Problems of Fuzzy Differential Equations
    SAITO Seiji
    International Conference on Nonlinear Analysis and Convex Analysis, 2004, Single work, 481-491, Scholarly book
  • Fuzzy Optimization Problems Concerning Oil Equations of L-fuzzy Numbers
    SAITO Seiji
    Optimization and Optimal Control, World Scientific Publishing Co., 2003, Joint work, 233-249, Scholarly book
  • Muliti-objective Facility Location Problems in Competitive Environments
    SAITO Seiji
    Springer,Muliti-objective Programming and Global-programming, 2003, Joint work, 263-268, Scholarly book
  • A Model of Competitive Facility Location Problems between a Firm and Residents
    SAITO Seiji
    Proceedings of the 2nd International Conference on Nonlinear Analysis and Convex Analysis, 2003, Joint work, 517-526, Scholarly book
  • Fuzzy Differentials and Deterministic Approaches to Fuzzy Optimization Problems
    SAITO Seiji
    Physica-Verlag,Dynamical Aspects in Fuzzy Decision Making in 'Studies in Fuzziness and Soft Computing', 2001, Joint work, 163-185, Scholarly book
  • Existence Criteria for Fuzzy Optimization Problems
    SAITO Seiji
    Nonlinear Analysis and Convex Analysis, 1998, Joint work, 321-325, Scholarly book
  • フーリエ解析へのアプローチ
    齋藤 誠慈; 長瀬道弘
    裳華房, 1997, Joint work, Scholarly book

Presentations

  • An Extension Theorem of Globally Uniformly Eventually Asymptotical Stability of Difference Equations
    齋藤 誠慈
    ハルピン工業大学理学系数学科特別講演会, 2007, ハルピン市中国
  • On Compact Sets of Fuzzy Numbers
    齋藤 誠慈
    ハルピン工業大学理学系数学科特別講演会, 2007, ハルピン市中国
  • Optimal Paths in Free Spaces of Obstacles via Fuzzy Analysis and Variational Method
    齋藤 誠慈
    ハルピン工業大学理学系数学科特別講演会, 2007, ハルピン市中国
  • 差分方程式の周期点集合に関する有限被覆最終的一様漸近安定性
    齋藤 誠慈
    ハルピン工業大学理学系数学科特別講演会, 2006, ハルピン市中国
  • ファジィ微分・ファジィ変分方程式
    齋藤 誠慈
    ハルピン工業大学理学系数学科特別講演会, 2006, ハルピン市中国
  • Fuzzy Equations and Fuzzy Variational Equations
    齋藤 誠慈
    2006 Asian Fuzzy Systems Society International Conference（AFSS2006）, 2006, Hebei, China
  • Fuzzy Initial Value Problems and Fuzzy Boundary Value Problems
    齋藤 誠慈
    ハルピン工業大学理学系数学科特別講演会, 2005, ハルピン市中国
  • An Algorithm for Discrete Quadratic Programming via Analysis of Adjacency Matrices and Molecular Computing
    齋藤 誠慈
    International Conference on Nonlinear Analysis and Convex Analysis2005 (NACA2005), 2005, 沖縄
  • Fuzzy Types of Nagumo's Conditions Independent of Boundary Conditions and Applications to Fuzzy Boundary Value Problems
    齋藤 誠慈
    The Eighth World Multi-Conference on Systemics,Cybernetics and Informatics(SCI2004), 2004, Florida
  • On Optimal Solutions for L-fuzzy Optimization Problems
    齋藤 誠慈
    The Sixteenth Triennial Conference of the International Federation of Operational Research Society (IFORS2002), 2002, Edinburgh
  • L-fuzzy Optimization Problems and Its Applications
    齋藤 誠慈
    International Conference on Optimization and Optimal Control, 2002, Mongolia
  • L-fuzzy Optimization Problems by Parametric Representation
    齋藤 誠慈
    IEEE Systems, Man and Cybernetics 2001 (IEEE SMC2001), 2001, Arizona
  • On Topics of Fuzzy Differential Equations and Fuzzy Optimization
    齋藤 誠慈
    The 7th International Conference on Nonlinear Functional Analysis and Applications (NFAA), 2001, Masan and Chinju, Korea
  • Fuzzy Optimization Problems in the Two-dimensional Metric Space
    齋藤 誠慈
    , The Joint 9th IFSA World Congress and 20th NAFIPS International Conference (IFSA/NAFIPS2001), 2001, Vancouver
  • Minimax Theorem Concerning Convexlike Functions
    齋藤 誠慈
    Nonlinear Analysis and Convex Analysis 2001(NACA2001), 2001, 弘前
  • Fuzzy Optimization Problems Concerning L-fuzzy Numbers
    齋藤 誠慈
    The European Operational Research Conference2001, 2001, Rotterdam
  • On Behavior of Solutions of Fuzzy Differential Equations in a Linear Space
    齋藤 誠慈
    The 17th European Operational Research Conference (EURO17), 2000, Budapest
  • An Algorithm for Solving Nonlinear Equations Arising from Nonsmooth Optimization Problems via Some Generalized Newton Method
    齋藤 誠慈
    The 5th Conference of Association of Asian-Pacific Operational Research Societies within IFORS, 2000, Singapore
  • ファジィ的思考
    齋藤 誠慈
    長栄管理学院特別講演会, 1999, 台南市台湾
  • 土木・建築分野におけるファジィ的手法
    齋藤 誠慈
    国立成功大学工学部土木計画学科特別講演会, 1999, 台南市台湾
  • On Subdifferentials of Fuzzy Functions and Some Order Relationship
    齋藤 誠慈
    The 8th International Fuzzy Systems Association World Congress, 1999, 台北
  • Remarks on Some Generalized Newton Method for Solving Nonlinear Equations Arising from Fuzzy Optimization Problems
    齋藤 誠慈
    The 8th International Fuzzy Systems Association World Congress, 1999, 台北
  • On Some Subdifferntial of Fuzzy Functions
    齋藤 誠慈
    Nonlinear Analysis and Convex Analysis 1998, 1998, 新潟
  • On Solving Equations Arising from Optimizations Problems by Some Generalized Newton Method
    齋藤 誠慈
    The International Conference “ Applied Analysis and Optimization, 1997, Hanoi
  • 準線形常微分方程式系の解の漸近挙動について
    齋藤 誠慈
    シンポジューム「微分方程式の総合的研究」, 1988, 東京

Research Projects

  • Facility location problem based on total evaluation method and its application
    Ishii Hiroaki; SHIODE Shogo; SAITO Seiji; SASAKI Yusuke; MOHRI Shintaro
    As criteria of facility location, various mathematical evaluation methods are created in order that suitable sites to facility construction are determined. For that purpose, that is, creation of mathematical evaluation to facility location, viewpoints of both user and constructer are taken into accounts. Further ambiguity of criteria and uncertainty about construction cost & existence of barrier are also considered in our facility location models. These are general models to construct various types of facilities including possibility as a multi-facility. Anyway we tried to propose useful information to construction side by introducing idea of non-dominated sides. Evenmore we researched on center of school lunch as a start of extension to healthcare facilities., Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2013/04 -2017/03, Grant-in-Aid for Scientific Research (C), Kwansei Gakuin University
  • Studies on Facility Location Problem Based on Various Informationsand Its Application to Urban Planning
    ISHII Hiroaki; SHIODE Shogo; SAITOU Seiji; OKUHARA Kouji
    Basically we have studied emergency facility location problem. Barriers, A-distance, Preference of the possible site, different accident occurrence probabilities etc. are considered and taking them into account we construct more realistic models are constructed. For these models we have proposed efficient solution procedures. Further we have extended the model toward one with the given facility and obtained a solution procedure. We have constructed the combined model with mathematical evaluation method useful to the decision rule choosing the suitable one among thenon-dominated solutions of these multi-criteria models. These results from this study arepublished or to be published in SCI journals and we think the result is good enough as a mathematical approach to the facility location problem. Therefore we think that our purpose to study the facility location problem based on various informations is done. Moreover summarizing with the previous research “Mathematical studies on facility Locations as an infrastructure of Urban Area”, we are constructing the data base of facility location models., Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2010 -2012, Grant-in-Aid for Scientific Research (C), Kwansei Gakuin University
  • Mathematical studies on facility locations as an infrastructure of Urban Area
    ISHII Hiroaki; OKUHARA Kouji; SHIODE Shogo; SAITOU Seiji
    障害物を考慮するとともに、距離として、非対称A 距離を用い、配置候補地の望ましさ、さらに既存の施設の存在を仮定したモデルを設定して、効率的な解法を作り出すことができた。これは実際の都市計画に近いモデルであり、計画担当者の助けとなる。さらに現在だけではなく、将来にわたる状況を考慮したモデルや、地理情報システムを応用したGISモデルも考えており、この点も計画に寄与するものである。この点について、国際共同研究の台湾での責任者の成功大学都市計画系葉光毅教授にも意見を聞いたところ、まだ問題が少し残っているが、十分に実際の都市計画に資するものとコメントを頂いている。SCI Journalにも成果を発表しており、数理的方法としてはかなりの成果が得られている, Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2007 -2008, Grant-in-Aid for Scientific Research (C), Osaka University
  • Study of environment-conscious product management for construction of sustainable society
    OKUHARA Koji; ISHII Hiroaki; SAITO Seiji
    製造業を対象にシステム工学的な観点から適正な在庫配置と生産工程を統一的に捉えなおして, 戦略的なプロダクトマネジメントに関する研究成果をまとめた. 業務手順を考慮したインベントリデータベースをサーバに構築して, 環境負荷データや生産活動に付随する情報の入力インタフェース構築を行った. 具体的には, 生産工程における業務手順の把握, 業務手順ごとにインベントリデータの収集と登録を実現し, 民間の企業から協力を得てその業務工程のモデル化して, 生産管理と環境影響評価の連動を可能とするWeb-based LCA Systemを開発した., Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2007 -2008, Grant-in-Aid for Scientific Research (C), Osaka University
  • Development of secure image-memory based on photonic nanoscale automaton using molecules
    TANIDA Jun; OGURA Yusuke; YAMADA Kenji; YAMAMOTO Hirotsugu; SAITO Seiji
    ナノサイズのコンピュータの原型としてナノスケールオートマトンを提案し、その実証例としてセキュア分子画像メモリへの適用を検討した。オートマトンモデルにより高い暗号強度を有する画像暗号化技術を開発し、外部光信号により制御可能な光異性化分子を利用したDNA 分子によるナノスケールオートマトンを2 種類構築した。また、フォトニックマイクロリアクタを作製し、分子反応の高効率化を達成した。, Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2006 -2008, Grant-in-Aid for Scientific Research (A), Osaka University
  • Mathematical Analysis on Optimal Allocation under Various Conditions
    ISHII Hiroaki; MORITA Hiroshi; SAITO Seiji; SHIODE Shogo; OKUHARA Koji
    (1)International Conference (major ones briefly and so for details see research report from p.4) 1.21th Euro conference on Operation Research (2006, July Iceland) Ishii about Facility Location problem with barrier 2.9 th Czech-Japan Seminar on data Analysis ＆ Decision making under Uncertainty (2006,August Kitakyushu) Ishii about Fuzzy Transportation Problem 3.14 th ISIR (2006,August Budapest) Ishii, about Fuzzy Inventory Problem 4.Asia Fuzzy system Society International Conference (2006,September Boeding China) Ishii about Emergency facility problem, Saito about Fuzzy Differential Equation 5.The Korea Japan workshop on effective Evaluation of social Policy using Mathematical evaluation Methods (2006,October Seoul Korea) Ishii about mathematical Selection Method, Shiode about Competitive facility location problem 6.12 th Asia Pacific Management Conference (2006,November, Bangkock, Thailand) Ishii about Ambulance Facility Location problem, Okuhara about Bullwhip effects in suuply Chain Management 7.IML 2007(2007,February Kitakyushu)Ishii about Product Mix Problem under Uncertainty and Ambiguity Totally more than 40 including 2005's presentation). (2)Publication 6 Publication papers and one Proceedings (though chosen as a selected paper) Except these papers, many proceedings are published after refereed these are cited in the research report.) (3)Main Results Theoretical progress on Optimal allocation is done. 1.Especially application to urban Planning is promising from our research about facility location problem and that about transportation problem. Our research not only from resident side but from construction is very useful and it may be original (Preference Function of the facility site). 2.Optimal allocation on Policy and Production is done from theoretical and practical view points. Especially research from a customer side is done (mass customerization, points from choosing side) 3.Environmental analysis and Portfolio Problem are considered inour research on optimal allocation) Especially, efficient algorithms under uncertainty and ambiguity situation using scenario analysis, and efficient solution methods on nonlinear problem arising from fuzzy analysis. (4)Further extension 1.International Collaboration with professor Yeh in Urban Planning Departmet, Chung Kung University, Taiwan) is started Project theme is "Mathematical Research on Human friendly Urban Planning (Optimal promotion of fundamental infrastructure such as various service and traffic facilities)". 2.The 2^ Korea Japan seminar on mathematical evaluation is also planned with Hankuk Aviation University Korea this year., Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2005 -2006, Grant-in-Aid for Scientific Research (C), Osaka University
  • 光情報コンピューティングとファジィ最適化手法の応用によるフラクタル解析
    基盤研究（Ｃ）（一般）, 2004 -2005, Competitive research funding
  • Optical-molecular cooperative computing based on parallel optical trapping technique
    TANIDA Jun; SAITO Seiji; OGURA Yusuke
    This study is aimed at developing optical-molecular cooperative computing techniques, which are based on manipulation of a group of molecules with optical field distributions. The major research targets include devising an effective computing algorithm, establishing a method for manipulating DNA molecules that are attached to microscopic beads by parallel optical trapping, developing a photonic method for DNA reactions within a local space, and demonstrating the usability of these photonic techniques in DNA memory. The result of numerical calculations concerning information density, processing time, and data-transferring rate explains fundamental characteristics of an information system based on optical -molecular cooperative computing. We have created an efficient algorithm for discrete quadratic programming via mathematical analyses and computation with DNA. The parallel optical trapping technique using VCSEL array sources were used for handling the position of groups of DNA molecules attached to a bead (a DNA cluster). Experimental results demonstrate that the method is applicable in transferring DNA clusters in parallel by sequential switching of emitting sources without any mechanical movement, and in stacking five DNA clusters. In addition, a photonic method was developed for DNA reactions ; the method utilizes local change of the temperature in a DNA solution induced by photo-thermal conversion. An important achievement is that hybridization and denaturation of DNA on a bead or a substrate are successfully controlled by irradiating with a focused laser beam. The minimum reaction width was measured as 5 micrometer. We proposed photonic DNA memory, in which a system containing hairpin DNA is used and operated by photonic techniques. Experimental results demonstrate that, for example repeating operations of attachment and detachment of data DNA on a bead is possible by appropriate temporal modulation of the power of the irradiation beam. We also succeeded in reading data DNA out from a substrate to a bead locally., Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2003 -2005, Grant-in-Aid for Scientific Research (A), Osaka University
  • Studies on Approximation Algorithm for Multi-objective Discrete Optimization Problems
    ISHII Hiroaki; KOIDE Takeshi; SHIODE Shogo; SAITO Seiji
    In our research we studied multi-objective discrete optimization which include multi-objective scheduling problems, network design problems and multi-objective facility location problems and so on as well as we advanced approximation methods for the optimization. Moreover we studied fuzzy differential equations and fuzzy optimization problems for foundation of the optimization by applying the methods of nonlinear functional analysis. In analyzing multi-objective scheduling problems not only we introduced a new model of scheduling problems with fuzziness and adaptability but also we schemed an algorithm for non-dominated solutions and some algorithms based on the beam-search method by developing calculation of a new lower bound. Numerical experiment illustrates utility of our algorithms to multi-objective flow shop problems. Moreover we gave theoretical results on multi-objective scheduling problems concerning parallel and multi-functional machines. In studying multi-objective network optimization problems we considered the total reliability of stochastic network problems. There are two characteristics. One is to give a utilized method for effective lower bounds of the total reliability and a fruitful solution-method of two-objective optimization with maximizing the total reliability and minimizing costs of construction of networks. We got results on optimal design of tele-communication networks, which can be applicable in many fields of network problems. In facility location analysis we investigated competitive problems and obtained practical optimal solutions with considering situations between firms and residents. Furthermore in order to apply optimization and modeling as new methods we studied fuzzy differential equations and fuzzy optimization problems., Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 1998 -2000, Grant-in-Aid for Scientific Research on Priority Areas (B), Osaka University
  • Research on Value of Information to Combinatorial Optimization
    ISHII Hiroaki; SHIODE Shogo; SAITO Seiji
    This research is to investigate value of information to combinatorial optimization. The aim of this research is to clarify the effects of random and fuzzy factors in the combinatorial optimization models. Especially the solutions are changed according to the existence of uncertainty and/or ambiguity. First we considered linear programming problems under both random and fuzzy factors. Based on the results on so called these fuzzy random linear programming problems, we considered scheduling problems with fuzzy data and fuzzy constraint, spanning tree problems with fuzzy random edge costs, knapsack problem with fuzzy and random coefficients and facility location problem with fuzzy distance and fuzzy goal. In order to find the difference between the solution of ordinary problem and that of fuzzy random version, we introduced fuzzy random variables to above problems of combinatorial optimization and proposed efficient algorithms for solving their deterministic equivalent problems. We obtained some results on solutions of these problems. Further we investigated also basic mathematical analysis of value of information by considering functional analysis, especially variational inequality and introduced a new concept of fuzzy derivatives to apply optimization under ambiguity., Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 1998 -1999, Grant-in-Aid for Scientific Research (C), Osaka University
  • 反復法による非線形方程式の数値解法の研究
    都田 艶子; 丸尾 健二; 齋藤 誠慈; 大中 幸三郎; 八木 厚志
    1.1変数の非線形方程式に対し、同時反復数値解法の収束特性を解析するのに関して、整備したいくつかのプログラムと既存ライブラリのなかのプログラムとの計算比較実験を行った。中心としたのは、多重度評価をともなうプログラムの、より広範な適用範囲を検討することである。そしてベンチマークとなるテスト問題をシミュレーションしている。 2.たとえば、積分変換が数値積分の一範囲として手軽に取り扱えるような、幅の広い応用を目指して、特殊関数の計算法を取り扱った。パラメーターの値の組み合わせで数種の典型的な特殊関数に帰着できる合流型超幾何関数に着目し、三項漸化式の数値計算法を応用して、要求精度いっぱいに安定に計算できることをする事を確かめた。微分方程式、積分方程式等への応用についてはまだ継続中である。 3.バナッハ空間での線形発展方程式の解の指数減衰を証明した。統一的枠組みの中であつかうため、実際の偏微分方程式を適当な関数空間で定式化することにより、時間変数の準線形部分方程式とする。そして定常解まわりに線形化するときに出てくる線形係数作用素のスペクトルの分布条件から、解の漸近的指数減衰をしめした。実際に解を計算する反復解法は高速化と煩雑性の兼ね合いから、まだ試みの段階である。 4.時間遅れをともなう方物型の微分積分方程式の解につての解析を行った。連続な解の存在と一意性を証明し、時間遅れをhとした時、その整数倍のところに初期値をとれば解は不連続となることを例をもってしめした。 5.ポアソン方程式の観測データとして与えられる解をもとにして、未知である外力項を推定する問題に対し、信頼性の高い決定的な評価法を提案、そのシミュレーションを行った。, 日本学術振興会, 科学研究費助成事業, 1996 -1996, 基盤研究(C), 大阪大学
  • 準線形放物型方程式の線形化安定性について
    八木 厚志; 都田 艶子; 長渕 裕; 毛利 政行; 斉藤 誠慈; 大中 幸三郎
    準線形放物型編微分方程式の安定性を調べる問題を,適当な関数空間における時間変数についての準線形常微分方程式の安定性を調べる問題と定式化し,次にこの常微分方程式に定常解が存在したとしてそのまわりで方程式を線形化してそれに放物型抽象方程式の理論を適用することにより定常解の漸近安定性結果を示した.すなわち,関数空間において解析半群の生成作用素A(u)を係数作用素とし,u=u(t)を未知関数とする準線形常微分方程式du/dt+Au(u)u=f(u),00,をみたせば線形化方程式の基本解V(t,s),0【less than or equal】s【less than or equal】t<∞,は指数関数を用いて評価できることを示した.さらに,公式v(t)=V(t,0)v_0+∫_0^tV(t,s)g(s)dsを用いてu_0の近傍からでる解はすべて時間t→∞と共にu_0に漸近することを示した,併せてその差は時間と共に指数関数的に減衰することも示した.本研究の以上の成果により,準線形放物型方程式に対する定常解の安定性問題はその定常解の線形化作用素がスペクトル条件をみたすかどうかを調べる問題に帰着されることが一般的な枠組みの中で示されたことになる. 本研究結果の応用に際しては,具体的な方程式に対してスペクトル条件がいつ成り立つかを調べる問題が生ずる.これを確かめるための一般的な判定条件は,本研究では得ることができなかった.そこで,いくつかの例について数値的にこれを確かめる試みを行い計算データを集めた.このデータから,便利な判定条件を探すのが今後の課題である., 日本学術振興会, 科学研究費助成事業, 1995 -1995, 一般研究(C), 大阪大学
  • 微分方程式系の解の漸近的性質と振動解に関する研究
    基盤研究（Ｃ）（一般）, 1991 -1993, Competitive research funding
  • Asymptotic Behavior and Periodisity of Solutions of Differdntial Equations
    YAMAMOTO Minoru; SAITO Seiji; MOHRI Masayuki; MARUO Kenji; OHNAKA Kohzaburo
    Stability therorems obtained in articles by Murakami-Yamamoto [3] [13], Wada-Yamamoto [4] [11], Saito-Yamamoto [6] [10], and Ohe-yamamoto [7] [15] are extensitions of many results. Oscillation theorems for second order nonlinear differential equations by Nagabuchi-Yamamoto [2] are extensions of those obtained by yan in 1986. On the existence of periodic solutions of nonlinear systems are considered in Saito-Yamamoto [5] and Sugie-Yamamoto [14] and had new results. Uniqueness theorems of periodic solutions of Lineard equations are proved in Hirano-Yamamoto [1] [12]. Existence theorems of solutions for quasilinear systems are proved in Saito-Yamamoto [8] [9]. Continuous dependence of periodic solutions for periodic systems are discussed in Saito-Yamamoto [16] and obtained extensions of the theorems due to Cronin, Hale and Mawhin respectively. All results above are extensions of those obtained by many authors. Throughout the above articles, it can be considered that almost all of our purpose had been achieved., Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 1988 -1990, Grant-in-Aid for General Scientific Research (C), Osaka University
  • ファジィ理論を応用し変分法の適用による配置問題の解法
    同志社大学, 同志社大学理工学研究所研究助成金, その他, Competitive research funding
  • ファジィ微分方程式の定性的研究
    大阪大学, 大阪大学後援会海外派遣助成金, その他, Competitive research funding

Social Contribution

  • アメリカ数学会Reviewer, 2003