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Accuracy and stability for delayed integral and differential equations and their discrete equations

Research Project

Project/Area Number 19540229
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionWaseda University

Principal Investigator

MUROYA Yoshiaki  Waseda University, 理工学術院, 教授 (90063718)

Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords関数方程式の大域理論 / 数理生態学 / 数理モデル / 力学系
Research Abstract

遅れを持つ微分方程式やその離散化方程式系の大域漸近安定性の研究、特に、2種の非自励、遅れを持つ共生Lotka-Volterra方程式系の、遅れに関係しないpermanence 条件の導出、2種類のcontractivity条件、semi-contractive関数の導入とそのClarkモデルへの応用、Gopalsamy and Liuのconjectureの肯定的解決とその拡張、infection項を持つ離散人口モデルの基本再生産数、Volterra差分方程式の大域漸近安定性などの研究成果を得た。

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (45 results)

All 2009 2008 2007 Other

All Journal Article (39 results) (of which Peer Reviewed: 36 results) Presentation (5 results) Remarks (1 results)

  • [Journal Article] Permanence for two species nonautonomous Lotka-Volterra cooperative systems with delays2009

    • Author(s)
      Y. Nakata and Y. Muroya
    • Journal Title

      Nonlinear Analyis RWA (2009)

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Contractivity for nonautonomous logistic equation with piecewise constant delays, CP1124, Mathematical Models in Engineering, Biology, and Medicine, Proceedings of the International Conference on Boundary Value Problem,2009

    • Author(s)
      Y. Nakata, M. Kuroda and Y. Muroya
    • Journal Title

      edited by A. Cabada, E. Liz, and J.J. Nieto

      Pages: 254-263

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Global stability for a class of difference equations2009

    • Author(s)
      Y. Muroya and E. Ishiwata
    • Journal Title

      J. Compu.Appl.Math 228

      Pages: 561-570

    • Related Report
      2008 Final Research Report
  • [Journal Article] New global stability conditions for a classes of difference equations2009

    • Author(s)
      Y. Muroya, E. Ishiwata and N. Guglielmi
    • Journal Title

      Frontiers of Mathematics in China 4

      Pages: 131-154

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] On collocation methods for delay differential and Volterra integral equations with proportional delay2009

    • Author(s)
      E. Ishiwata and Y. Muroya
    • Journal Title

      Fontiers of Mathematics in China 4

      Pages: 89-111

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay2009

    • Author(s)
      H. Li, Y. Muroya and R. Yuan, A
    • Journal Title

      Nonlinear Analysis RWA 10

      Pages: 244-253

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A general discrete time model of population dynamics in the presence of an infection2009

    • Author(s)
      G. Izzo, Y. Muroya, A. Veoohio
    • Journal Title

      Discrete Dynamics in Nature and Society (accepted)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Contractivity for nonautonomous logistic equation with piecewise constant delays2009

    • Author(s)
      Y. Nakata, M. Kuroda, Y. Muroya
    • Journal Title

      Proceedings of BVP (accepted)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Permanence for two species nonautonomous Lotka-Volterra cooperative systems with delays2009

    • Author(s)
      Y. Nakata, Y. Muroya
    • Journal Title

      Nonlinear Analysis RWA

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global stability for a class of difference equations2009

    • Author(s)
      Y. Muroya, E. Ishiwata
    • Journal Title

      J. Comput. Appl. Math.

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] New global stability conditions for a classes of difference equations2009

    • Author(s)
      Y. Muroya, E. Ishiwata, N. Guglielmi
    • Journal Title

      Frontiers of Mathematics in China 4

      Pages: 131-154

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On collooation methods for delay differential and Volterra integral equations with proportional delay, delay2009

    • Author(s)
      E. Ishiwata, Y. Muroya
    • Journal Title

      Frontiers of Mathematics in China 4

      Pages: 89-111

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay2009

    • Author(s)
      H. Li, Y. Muroya, R. Yuan
    • Journal Title

      Nonlinear Analysis RWA 10

      Pages: 244-253

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] New contractivity condition in a population model with piecewise constant arguments2008

    • Author(s)
      Y. Muroya
    • Journal Title

      J. Math. Anal. Appl 346

      Pages: 65-81

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A super-attainable order in collocation methods for differential equations with proportional delay2008

    • Author(s)
      E. Ishiwata, Y. Muroya and H. Brunner
    • Journal Title

      Appl. Math. Comput 198

      Pages: 227-236

    • Related Report
      2008 Final Research Report
  • [Journal Article] New contraotivity condition in a population model with piecewise constant arguments2008

    • Author(s)
      Y. Muroya
    • Journal Title

      J. Math. Anal. Appl. 346

      Pages: 65-81

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of solutions for nonlinear Volterra discrete equations2008

    • Author(s)
      E. Messina, Y. Muroya, E. Russo, A. Vecchio
    • Journal Title

      Discrete Dynamics in Nature and Society ID 867623

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A super-attainable order in collocation methods for differential equations with proportional delay2008

    • Author(s)
      E. Ishiwata, Y. Muroya, H. Brunner
    • Journal Title

      Appl. Math. Comput. 198

      Pages: 227-236

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A super-attainable order in collocation methods for differential equations with proportional delay2008

    • Author(s)
      E.Ishiwata, Y.Muroya and H.Brunner
    • Journal Title

      Appl.Math.Comput 198

      Pages: 227-236

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global stability for nonlinear difference equations with variable coefficients2007

    • Author(s)
      Y. Muroya, E. Ishiwata and N. Guglielmi
    • Journal Title

      J. Math. Anal. Appl 334

      Pages: 232-247

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Global attractivity for discrete models of nonautonomous logistic equations2007

    • Author(s)
      Y. Muroya
    • Journal Title

      Comput. Math. Appl 53

      Pages: 1059-1073

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Rational approximation method for delay differential equations with proportional delay2007

    • Author(s)
      E. Ishiwata, Y. Muroya
    • Journal Title

      Appl. Math. Comput 187

      Pages: 741-747

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Persistence and global stability in discrete models of Lotka-Volterra type2007

    • Author(s)
      Y. Muroya
    • Journal Title

      J. Math. Anal. Appl 330

      Pages: 24-33

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Global attractivity for discrete Clark model $x_{n+1}=q x_n+(1-q)g(x_{n-k})$2007

    • Author(s)
      Y. Muroya and E. Ishiwata
    • Journal Title

      Proceedings of the Furth Internaional Conference on Nonlinear Analysis and Convex Analysis (2005 Okinawa)

      Pages: 387-398

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Global stability for separable nonlinear delay differential systems2007

    • Author(s)
      Y. Muroya
    • Journal Title

      J. Math. Anal. Appl 236

      Pages: 372-389

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A global stability criterion in scalar delay differential equations2007

    • Author(s)
      Y. Muroya
    • Journal Title

      J. Math. Anal. Appl 236

      Pages: 209-227

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stability of Volterra difference equations2007

    • Author(s)
      Y. Muroya
    • Journal Title

      数理解析研究所講究録 1551

      Pages: 105-110

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Global stability for nonlinear difference equations with variable coefficients2007

    • Author(s)
      Y.Muroya, E.Ishiwata and N.Guglielmi
    • Journal Title

      J.Math.Anal.Appl. 334

      Pages: 232-247

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global attractivity for discrete models of nonautonomous logistic equations2007

    • Author(s)
      Y.Muroya
    • Journal Title

      Comput.Math.Appl. 53

      Pages: 1059-1073

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Rational approximation method for delay differential equations with proportional delay2007

    • Author(s)
      E.Isiwata, and Y.Muroya
    • Journal Title

      Appl.Math.Comput. 187

      Pages: 741-747

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Persistence and global stability discrete models of Lotka Volterra type2007

    • Author(s)
      Y.Muroya
    • Journal Title

      J.Math.Anal.Appl. 330

      Pages: 24-33

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global attractivity for discrete Clark model x{n+1}=q x n+(1-q)g(x_{n-k})2007

    • Author(s)
      Y.Muroya and E.Ishiwata
    • Journal Title

      Proceedings of the Fourth International Conference on Nonlinear Analysis and Convex Analysis(2005Okinawa)

      Pages: 387-398

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global stability for separable nonlinear delay differential equations2007

    • Author(s)
      Y.Muroya
    • Journal Title

      J.Math.Anal.Appl. 236

      Pages: 372-389

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A global stability criterion in scalar delay differential equations2007

    • Author(s)
      Y.Muroya
    • Journal Title

      J.Math.Anal.Appl. 236

      Pages: 209-227

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stability of Volterra difference equations2007

    • Author(s)
      Y.Muroya and E.Ishiwata
    • Journal Title

      数理解析研究所講究録 1551

      Pages: 105-110

    • Related Report
      2007 Annual Research Report
  • [Journal Article] general discrete time model of population dynamics in the presence of an infection

    • Author(s)
      G. Izzo, Y. Muroya and A. Vecchio, A
    • Journal Title

      accepted in Discrete Dynamics in Nature and Society

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of solutions for nonlinear Volterra discrete equations

    • Author(s)
      E. Messina, Y. Muroya, E. Russo and A. Vecchio
    • Journal Title

      Discrete Dynamics in Nature and Society vol Article ID 867623

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Global stability for a class of difference equations

    • Author(s)
      Y.Muroya and E.Ishiwata
    • Journal Title

      J.Comput.Appl.Math.

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay

    • Author(s)
      H.Li, Y.Muroya and R.Yuan
    • Journal Title

      Nonlinear Analysis RWA

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] 区分的定数遅れを持つロジスティック方程式の大域漸近安定性2008

    • Author(s)
      室谷義昭
    • Organizer
      2008年度日本応用数理学会年会
    • Place of Presentation
      東大柏キャンパス
    • Year and Date
      2008-09-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] On global stability in a PoPulation model with piecewise constant delays2008

    • Author(s)
      Y.Muroya
    • Organizer
      Numerical group seminar at University of Naples
    • Place of Presentation
      University of Naples
    • Year and Date
      2008-04-07
    • Related Report
      2007 Annual Research Report
  • [Presentation] Global stability for a class of discrete models2007

    • Author(s)
      Y.Muroya, joint work with E.Ishiwata and N.Guglielmi
    • Organizer
      International Workshop on Numerical Analysis and Computational Equations, Functional Differential and Integral Equations
    • Place of Presentation
      Hong Kong
    • Year and Date
      2007-12-06
    • Related Report
      2007 Annual Research Report
  • [Presentation] Global attractivity for nonlinear difference equations with variable coefficients2007

    • Author(s)
      Y.Muroya, joint work with E.Ishiwata
    • Organizer
      「生物数学の理論とその応用」研究集会
    • Place of Presentation
      京大数理解析研
    • Year and Date
      2007-08-31
    • Related Report
      2007 Annual Research Report
  • [Presentation] Uniform stability for a wide class of difference equations2007

    • Author(s)
      Y.Muroya, joint work with E.Ishiwata
    • Organizer
      International Conference on Scientific Computation And Differential Equations
    • Place of Presentation
      SainT-Malo,France
    • Year and Date
      2007-07-13
    • Related Report
      2007 Annual Research Report
  • [Remarks]

    • URL

      https://www.wnp7.waseda.jp/Rdb/app/ip/ipi0201.html

    • Related Report
      2008 Annual Research Report

URL: 

Published: 2007-04-01   Modified: 2016-04-21  

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