Advances in Difference Equations and Discrete Dynamical Systems

1. Front Matter

   Pages i-x

   PDF

2. Papers by Plenary Speakers

   1. Front Matter

      Pages 1-1

      PDF

   2. Stable Bifurcations in Multi-species Semelparous Population Models

      • Ryusuke Kon

      Pages 3-25

   3. Dichotomy Spectra of Nonautonomous Linear Integrodifference Equations

      • Christian Pötzsche

      Pages 27-53

   4. A Dynamical Trichotomy for Structured Populations Experiencing Positive Density-Dependence in Stochastic Environments

      • Sebastian J. Schreiber

      Pages 55-66

   5. Replicator Equations as Limits of Evolutionary Games on Complete Graphs

      • Petr Stehlík

      Pages 67-87

3. Contributed Papers

   1. Front Matter

      Pages 89-89

      PDF

   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

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.

• 37-XX, 39-XX, 92-XX
• Difference equations
• Discrete dynamical systems
• Discrete-time models
• Nonlinear
• Asymptotic behavior
• Stability
• Periodic solutions
• Bifurcation
• Delay

• 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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