Difference Equations and Discrete Dynamical Systems: Proceedings of the 9th International Conference

Difference Equations and Discrete Dynamical Systems: Proceedings of the 9th International Conference

by Denise Wilson
     
 

ISBN-10: 9812565205

ISBN-13: 9789812565204

Pub. Date: 10/28/2005

Publisher: World Scientific Publishing Company, Incorporated

Difference Equations or Discrete Dynamical Systems is a diverse field which impacts almost every branch of pure and applied mathematics. Not surprisingly, the techniques that are developed vary just as broadly. No more so is this variety reflected than at the prestigious annual International Conference on Difference Equations and Applications. Organized under the

Overview

Difference Equations or Discrete Dynamical Systems is a diverse field which impacts almost every branch of pure and applied mathematics. Not surprisingly, the techniques that are developed vary just as broadly. No more so is this variety reflected than at the prestigious annual International Conference on Difference Equations and Applications. Organized under the auspices of the International Society of Difference Equations, the Conferences have an international attendance and a wide coverage of topics.The contributions from the conference collected in this volume invite the mathematical community to see a variety of problems and applications with one ingredient in common, the Discrete Dynamical System. Readers may also keep abreast of the many novel techniques and developments in the field.The special emphasis of the meeting was on mathematical biology and accordingly about half of the articles are in the related areas of mathematical ecology and mathematical medicine.

Product Details

ISBN-13:
9789812565204
Publisher:
World Scientific Publishing Company, Incorporated
Publication date:
10/28/2005
Pages:
336
Product dimensions:
6.10(w) x 9.00(h) x 1.00(d)

Table of Contents

Prefacev
A Discrete-Time Beverton-Holt Competition Model1
A Dynamic Analysis of the Bush Fiscal Policy11
A Hybrid Approximation to Certain Delay Differential Equation with a Constant Delay27
Compulsory Asymptotic Behavior of Solutions of Two-Dimensional Systems of Difference Equations35
Discrete Models of Differential Equations: The Roles of Dynamic Consistency and Positivity51
Enveloping Implies Global Stability71
Global Asymptotic Stability in the Jia Li Model for Genetically Altered Mosquitoes87
Global Behavior of Solutions of a Nonlinear Second-Order Nonautonomous Difference Equation101
How Can Three Species Coexist in a Periodic Chemostat? Mathematical and Numerical Study121
Information-Theoretic Measures of Discrete Orthogonal Polynomials135
Local Approximation of Invariant Fiber Bundles: An Algorithmic Approach155
Necessary and Sufficient Conditions for Oscillation of Coupled Nonlinear Discrete Systems171
Non-Standard Finite Difference Methods for Dissipative Singular Perturbation Problems185
On a Class of Generalized Autoregressive Processes199
On [characters not reproducible] with Period-Two Coefficients207
Periodically Forced Nonlinear Difference Equations with Delay217
Regularity of Difference Equations233
Robustness in Difference Equations247
Solvability of the Discrete LQR-Problem under Minimal Assumptions273
Some Discrete Competition Models and the Principle of Competitive Exclusion283
Stability under Constantly Acting Perturbations for Difference Equations and Averaging303
Symbolic Dynamics in the Study of Bursting Electrical Activity313

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