Advances in Difference Equations and Discrete Dynamical Systems: ICDEA, Osaka, Japan, July 2016

Description

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. Front Matter ....Pages i-x Front Matter ....Pages 1-1 Stable Bifurcations in Multi-species Semelparous Population Models (Ryusuke Kon)....Pages 3-25 Dichotomy Spectra of Nonautonomous Linear Integrodifference Equations (Christian Pötzsche)....Pages 27-53 A Dynamical Trichotomy for Structured Populations Experiencing Positive Density-Dependence in Stochastic Environments (Sebastian J. Schreiber)....Pages 55-66 Replicator Equations as Limits of Evolutionary Games on Complete Graphs (Petr Stehlík)....Pages 67-87 Front Matter ....Pages 89-89 Connection Between Continuous and Discrete Delay and Halanay type Inequalities (István Győri, László Horváth)....Pages 91-111 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 Operator Theoretic Phenomena of the Markov Operators which are Induced by Stochastic Difference Equations (Takashi Honda, Yukiko Iwata)....Pages 125-135 On the Behavior of the Error in Numerical Iterative Method for PDE (Toshiyuki Kohno)....Pages 137-146 Property B of the Four-Dimensional Neutral Difference System (Jana Krejčová)....Pages 147-163 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 On the Exponential Stability of Two-Dimensional Nonautonomous Difference Systems Which Have a Weighted Homogeneity of the Solution (Masakazu Onitsuka)....Pages 183-198 A Corollary of a Theorem on Positive Solutions of Poincaré Difference Equations (Mihály Pituk)....Pages 199-205 The Case for Large Contraction in Functional Difference Equations (Youssef N. Raffoul)....Pages 207-218 Reaching Consensus via Polynomial Stochastic Operators: A General Study (Mansoor Saburov, Khikmat Saburov)....Pages 219-230 On the Stability of an SIR Epidemic Discrete Model (Kaori Saito)....Pages 231-239 Nonoscillation of Second-Order Linear Equations Involving a Generalized Difference Operator (Jitsuro Sugie, Masahiko Tanaka)....Pages 241-258 An Evolutionary Game Model of Families’ Voluntary Provision of Public Goods (Aiko Tanaka, Jun-ichi Itaya)....Pages 259-274 On the Periodic Behavior of a System of Piecewise Linear Difference Equations (W. Tikjha, E. Lapierre)....Pages 275-282