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

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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.
Part I Papers by Invited Speakers
Competitive Exclusion Through Discrete Time Models
3(20)
Azmy S. Ackleh
Paul L. Salceanu
Benford Solutions of Linear Difference Equations
23(38)
Arno Berger
Gideon Eshun
Harvesting and Dynamics in Some One-Dimensional Population Models
61(14)
Eduardo Liz
Frank M. Hilker
Chaos and Wild Chaos in Lorenz-Type Systems
75(26)
Hinke M. Osinga
Bernd Krauskopf
Stefanie Hittmeyer
Part II Contributed Papers
Almost Automorphic Sequences and Their Application to a Model of Cellular Neural Network
101(12)
Syed Abbas
Advances in Periodic Difference Equations with Open Problems
113(14)
Ziyad AlSharawi
Jose S. Canovas
Antonio Linero
An Evolutionary Beverton-Holt Model
127(16)
J. M. Cushing
The Periodic Decomposition Problem
143(28)
Balint Farkas
Szilard Gy. Revesz
Existence of Periodic and Almost Periodic Solutions of Discrete Ricker Delay Models
171(16)
Yoshihiro Hamaya
Generalized Lagrange Identity for Discrete Symplectic Systems and Applications in Weyl--Titchmarsh Theory
187(16)
Roman Simon Hilscher
Petr Zemanek
Dynamic Selection Systems and Replicator Equations
203(12)
Zdenek Pospisil
Asymptotic Equivalence of Difference Equations in Banach Space
215
Andrejs Reinfelds