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Advances in Difference Equations and Discrete Dynamical Systems

ICDEA, Osaka, Japan, July 2016

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Saber Elaydi

    1. Department of Mathematics, Trinity University, San Antonio, USA

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  2. Yoshihiro Hamaya

    1. Department of Information Science, Okayama University of Science, Okayama, Japan

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  3. Hideaki Matsunaga

    1. Department of Mathematical Sciences, Osaka Prefecture University, Sakai, Japan

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  4. Christian Pötzsche

    1. Institut für Mathematik, Alpen-Adria-Universität Klagenfurt, Klagenfurt, Austria

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  • Includes overviews of evolving areas in difference equations, discrete dynamical systems, and their applications
  • Presents easily understandable, but surprising, properties, obtained using qualitative theory and numerical analysis
  • Is written by new, outstanding researchers in the field of difference equations and discrete dynamical systems
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 212)

Included in the following conference series:

Conference proceedings info: ICDEA 2016.

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Table of contents (18 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  3. Contributed Papers

    1. Front Matter

      Pages 89-89
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    2. Connection Between Continuous and Discrete Delay and Halanay type Inequalities

      • István Győri, László Horváth
      Pages 91-111

    3. Convergence of Finite Difference Schemes Applied to the Cauchy Problems of Quasi-linear Partial Differential Equations of the Normal Form

      • Nobuyuki Higashimori, Hiroshi Fujiwara, Yuusuke Iso
      Pages 113-124

    4. Operator Theoretic Phenomena of the Markov Operators which are Induced by Stochastic Difference Equations

      • Takashi Honda, Yukiko Iwata
      Pages 125-135

    5. On the Behavior of the Error in Numerical Iterative Method for PDE

      • Toshiyuki Kohno
      Pages 137-146

    6. Property B of the Four-Dimensional Neutral Difference System

      • Jana Krejčová
      Pages 147-163

    7. On the Structure of Polyhedral Positive Invariant Sets with Respect to Delay Difference Equations

      • Mohammed-Tahar Laraba, Sorin Olaru, Silviu-Iulian Niculescu
      Pages 165-182

    8. On the Exponential Stability of Two-Dimensional Nonautonomous Difference Systems Which Have a Weighted Homogeneity of the Solution

      • Masakazu Onitsuka
      Pages 183-198

    9. A Corollary of a Theorem on Positive Solutions of Poincaré Difference Equations

      • Mihály Pituk
      Pages 199-205

    10. The Case for Large Contraction in Functional Difference Equations

      • Youssef N. Raffoul
      Pages 207-218

    11. Reaching Consensus via Polynomial Stochastic Operators: A General Study

      • Mansoor Saburov, Khikmat Saburov
      Pages 219-230

    12. On the Stability of an SIR Epidemic Discrete Model

      • Kaori Saito
      Pages 231-239

    13. Nonoscillation of Second-Order Linear Equations Involving a Generalized Difference Operator

      • Jitsuro Sugie, Masahiko Tanaka
      Pages 241-258

    14. An Evolutionary Game Model of Families’ Voluntary Provision of Public Goods

      • Aiko Tanaka, Jun-ichi Itaya
      Pages 259-274
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  1. Advances in Difference Equations and Discrete Dynamical Systems

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About this book

This volume contains the proceedings of the 22nd International Conference on Difference Equations and Applications, held at Osaka Prefecture University, Osaka, Japan, in July 2016. The conference brought together both experts and novices in the theory and applications of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete dynamical systems with applications to mathematical sciences and, in particular, mathematical biology and economics. This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete dynamical systems, and their applications.

Editors and Affiliations

  • Department of Mathematics, Trinity University, San Antonio, USA

    Saber Elaydi

  • Department of Information Science, Okayama University of Science, Okayama, Japan

    Yoshihiro Hamaya

  • Department of Mathematical Sciences, Osaka Prefecture University, Sakai, Japan

    Hideaki Matsunaga

  • Institut für Mathematik, Alpen-Adria-Universität Klagenfurt, Klagenfurt, Austria

    Christian Pötzsche

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