ISBN: **012403330X**

Title: **Difference Equations**

Author: **KELLEY **

Cover: **CaseBound**

US Price: **$69.95**

** An Introduction with Applications
**
** SECOND EDITION
**

* Walter G. Kelley
*
* University of Oklahoma, Norman
*

* Allan C. Peterson
*
* University of Nebraska, Lincoln
*

This book uses elementary analysis and linear algebra to investigate solutions of difference equations. Some of the
techniques discussed are summation methods, generating functions, z-transforms, theory of linear equations, matrix methods,
stability, chaos, asymptotic methods, Green's functions, finite Fourier analysis, variational methods, fixed point theorems, and
connections with differential equations. Applications of difference equations to combinatorics, geometry, epidemiology, special
functions, economics, population biology, numerical analysis, circuit analysis, differential equations, and other fields have been
included. Many examples of the theory are given, and there are a large number of exercises, with difficulty ranging from
elementary calculation to investigation of new ideas or applications. The new edition also includes an appendix on the use of
computer algebra systems.

**KEY FEATURES
**

- Phase plane analysis for systems of two linear equations
- Use of equations of variation to approximate solutions
- Fundamental matrices and Floquet theory for periodic systems
- LaSalle invariance theorem
- Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory
- Appendix on the use of
*Mathematica* for analyzing difference equaitons
- Exponential generating functions
- Many new examples and exercises

**CONTENTS: **

Preface. Introduction. The Difference Calculus. Linear Difference Equations. Stability Theory.
Asymptotic Methods. The Self-Adjoint Second Order Linear Equation. The Sturm-Liouville Problem. Discrete Calculus of
Variations. Boundary Value Problems for Nonlinear Equations. Partial Difference Equations. Appendix. Answers to Selected
Problems. References. Index.
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a sample of the book

- Table of Contents
- Preface
- Chapter 1
- Bibliography