Global Behavior of Nonlinear Difference Equations of Higher Order with Applications
Author:   V.L. Kocic ,  G. Ladas
Publisher:   Springer
Edition:   1993 ed.
Volume:   256
ISBN:  

9780792322863


Pages:   228
Publication Date:   31 May 1993
Format:   Hardback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Global Behavior of Nonlinear Difference Equations of Higher Order with Applications


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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 frontiers of the subject, 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 in cludes notes and references. The volume concludes with three appendices, a comprehensive bibliography, and name and subject indexes. This text is designed for graduate students and researchers whose work involves difference and differential equations.

Full Product Details

Author:   V.L. Kocic ,  G. Ladas
Publisher:   Springer
Imprint:   Springer
Edition:   1993 ed.
Volume:   256
Dimensions:   Width: 15.60cm , Height: 1.40cm , Length: 23.40cm
Weight:   1.150kg
ISBN:  

9780792322863


ISBN 10:   079232286
Pages:   228
Publication Date:   31 May 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. Introduction and Preliminaries.- 2 Global Stability Results.- 3 Rational Recursive Sequences.- 4 Applications.- 5 Periodic Cycles.- 6 Open Problems and Conjectures.- A The Riccati Difference Equation.- B A Generalized Contraction Principle.- C Global Behavior of Systems of Nonlinear Difference Equations.- C.1 A Discrete Epidemic Model.- C.2 A Plant-Herbivore System.- C.3 Discrete Competitive Systems.- Author Index.

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