Global Behavior of Nonlinear Difference Equations of Higher Order with Applications / Edition 1

Global Behavior of Nonlinear Difference Equations of Higher Order with Applications / Edition 1

by V.L. Kocic, G. Ladas
     
 

ISBN-10: 9048142733

ISBN-13: 9789048142736

Pub. Date: 12/10/2010

Publisher: Springer Netherlands

This volume presents a systematic study of the global behaviour of solutions of nonlinear scalar difference equations of order greater than one. Of particular interest are aspects such as global asymptotic stability, periodicity, permanence and persistence, and also semicycles of solutions. As well as exposing the reader to the very frontiers of the subject,

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Overview

This volume presents a systematic study of the global behaviour of solutions of nonlinear scalar difference equations of order greater than one. Of particular interest are aspects such as global asymptotic stability, periodicity, permanence and persistence, and also semicycles of solutions. As well as exposing the reader to the very frontiers of the subject, important open problems are also formulated.
The book has six chapters. Chapter 1 presents an introduction to the subject and deals with preliminaries. Chapter 2 considers global stability results. Chapter 3 is devoted to rational recursive structures. Chapter 4 describes various applications. The topic of Chapter 5 is periodic cycles, and Chapter 6 discusses a number of open problems and conjectures involving interesting types of difference equations. Each chapter includes notes and references. The volume concludes with three appendices, a comprehensive bibliography, and name and subject indices.
For graduate students and researchers whose work involves difference and differential equations.

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Product Details

ISBN-13:
9789048142736
Publisher:
Springer Netherlands
Publication date:
12/10/2010
Series:
Mathematics and Its Applications (closed) Series, #256
Edition description:
Softcover reprint of hardcover 1st ed. 1993
Pages:
228
Product dimensions:
6.14(w) x 9.21(h) x 0.51(d)

Table of Contents

Preface. 1. Introduction and Preliminaries. 2. Global Stability Results. 3. Rational Recursive Sequences. 4. Applications. 5. Periodic Cycles. 6. Open Problems and Conjectures. Appendix: A. The Riccati Difference Equation. B. A Generalized Contraction Principle. C. Global Behaviour of Systems of Nonlinear Difference Equations. Bibliography. Subject Index. Author Index.

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