Proceedings Of The Eighth International Conference On Difference Equations and Applications

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ISBN: 9781584885368 | 158488536X
Cover: Hardcover
Copyright: 4/29/2005

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The Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. These papers cover all important themes, conjectures, and open problems in the fields of discrete dynamical systems and ordinary and partial difference equations, classical and contemporary, theoretical and applied.

Preface

Contributors

Simple Floquet Theory on Time Scales

(6)

Ladislav Adamec

A Condition for Transitivity of Lorenz Maps

(8)

J.F. Alves, J.L. Fachada, and J. Sousa Ramos

Iterated Multifunction Systems

(8)

Jan Andres and Jiri Fišer

Invariant Manifolds as Pullback Attractors of Nonautonomous Difference Equations

(16)

Bernd Aulbach, Martin Rasmussen, and Stefan Siegmung

Determination of Initial Data Generating Solutions of Bernoulli's Type Difference Equations with Prescribed Asymptotic Behavior

(12)

Jaromir Baštinec and Josef Diblik

Solutions Bounded on the Whole Line for Perturbed Difference Systems

(10)

Alexander Boichuk and Miroslava Ružicková

Rational Third-Order Difference Equations

(6)

Elias Camouzis

Decaying Solutions for Difference Equations with Deviating Argument

(8)

Mariella Cecchi, Zuzana Došlá, and Mauro Marini

A Differential and Difference Equation with a Constant Delay

(8)

Jan Cermák

Some Discrete Nonlinear Inequalities and Applications to Boundary Value Problems

(8)

Wing-Sum Cheung

The Asymptotic Stability of x(n + k) + ax(n) + bx(n - 1) = 0

(6)

Fozzi Dannan

Estimates of the Spectral Radius and Oscillation Behavior of Solutions to Functional Equations

(8)

A. Domoshnitsky and M. Drakhlin

Nonoscillatory Solutions of Third-Order Difference Equations

105

(8)

Zuzana Došlá and Aleš Kobza

Global Stability of Periodic Orbits of Nonautonomous Difference Equations in Population Biology and the Cushing-Henson Conjectures

113

(14)

Saber Elaydi and Robert J. Sacker

Symplectic Factorizations and the Definition of a Focal Point

127

(10)

Julia Elyseeva

Second Smaller Zero of Kneading Determinant for Iterated Maps

137

(8)

Sara Fernandes and J. Sousa Ramos

Bifurcation of Almost-Periodic Solutions in a Difference Equation

145

(10)

Yoshihiro Hamaya

The Harmonic Oscillator - An Extension Via Measure Chains

155

(16)

Stefan Hilger

Solution of Dirichlet Problems with Discrete Double-Layer Potentials

171

(8)

Angela Hommel

Moments of Solutions of Linear Difference Equations

179

(6)

Klara Janglajew and Kim Valeev

Time-Variant Consensus Formation in Higher Dimensions

185

(8)

Ulrich Krause

Asymptotic properties of solutions of the difference equation Δx(t) = -ax(t) + bx(τ(t))

193

(8)

Petr Kundrát

Oscillation Theorems for a Class of Fourth-Order Nonlinear Difference Equations

201

(8)

Malgorzata Migda, Anna Musielak, and Ewa Schmeidel

Iterates of the Tangent Map - The Bifurcation Scheme

209

(10)

Henrique Oliveira and J. Sousa Ramos

Difference Equations for Photon-Number Distribution in the Stationary Regime of a Random Laser

219

(8)

Vlasta Perinová and Antonin Lukš

Delay Equations on Measure Chains: Basics and Linearized Stability

227

(8)

Christian Pötzsche

The System of two Difference Equations xn+1 = (p + yn-k)/yn, Yn+1 = (q + xn-k)/xn

235

(10)

Christos Schinas and Garyfalos Papaschinopoulos Asymptotic Behavior of Solutions of Certain Second-Order Nonlinear Difference Equations

245

(8)

Ewa Schmeidel

Asymptotic Behavior of the Solutions of the Fuzzy Difference Equation xn+1 = (A + Σki=0aixn-i)/(B + Σki=0bixn-i)

253

(12)

Gesthimani Stefanidou and Garyfalos Papaschinopoulos

The Gauss Hypergeometric Series with Roots Outside the Unit Disk

265

(8)

Katsuo Takano and Hiromitsu Okazaki

Symbolic Dynamics Generated by an Idealized Time-Delayed Chua's Circuit

273

(8)

Sandra Vinagre and J. Sousa Ramos

Author Index

281

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Proceedings Of The Eighth International Conference On Difference Equations and Applications

Summary

Table of Contents

Supplemental Materials