Theory and Applications of Difference Equations and Discrete Dynamical Systems: ICDEA, Muscat, Oman, May 26 - 30, 2013

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Ziyad AlSharawi, Jim M. Cushing, Saber Elaydi
Springer, Aug 22, 2014 - Mathematics - 222 pages

This volume contains the proceedings of the 19th International Conference on Difference Equations and Applications, held at Sultan Qaboos University, Muscat, Oman in May 2013. The conference brought together experts and novices in the theory and applications of difference equations and discrete dynamical systems.

The volume features papers in difference equations and discrete time dynamical systems with applications to mathematical sciences and, in particular, mathematical biology, ecology, and epidemiology. It includes four invited papers and eight contributed papers.

Topics covered include: competitive exclusion through discrete time models, Benford solutions of linear difference equations, chaos and wild chaos in Lorenz-type systems, advances in periodic difference equations, the periodic decomposition problem, dynamic selection systems and replicator equations, and asymptotic equivalence of difference equations in Banach Space.

This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete time dynamical systems and their applications.

 

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Contents

1 Competitive Exclusion Through Discrete Time Models
3
2 Benford Solutions of Linear Difference Equations
23
3 Harvesting and Dynamics in Some OneDimensional Population Models
61
4 Chaos and Wild Chaos in LorenzType Systems
74
Part IIContributed Papers
99
5 Almost Automorphic Sequences and Their Application to a Model of a Cellular Neural Network
101
6 Advances in Periodic Difference Equations with Open Problems
112
7 An Evolutionary BevertonHolt Model
127
8 The Periodic Decomposition Problem
143
9 Existence of Periodic and Almost Periodic Solutions of Discrete Ricker Delay Models
170
10 Generalized Lagrange Identity for Discrete Symplectic Systems and Applications in WeylTitchmarsh Theory
187
11 Dynamic Selection Systems and Replicator Equations
203
12 Asymptotic Equivalence of Difference Equations in Banach Space
214
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