Difference equations : an introduction with applications

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Difference equations : an introduction with applications / Walter G. Kelley, Allan C. Peterson

Format:

Book

Published:

Boston ; Tokyo : Academic Press, c1991

Description:

xi, 455 p. ; 24 cm

Authors:

ISBN:

9780124033252 [0124033253]

NCID:

BA11923818

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Bibliography Details

Note:

Includes bibliographical references and index

Subject:

Difference equations

Language:

English

Table of Contents:

Preface

Introduction / Chapter 1：

The Difference Calculus / Chapter 2：

The Difference Operator / Section 2.1：

Summation / Section 2.2：

Generating Functions and Approximate Summation / Section 2.3：

Linear Difference Equations / Chapter 3：

First Order Equations / Section 3.1：

General Results for Linear Equations / Section 3.2：

Solving Linear Equations / Section 3.3：

Applications / Section 3.4：

Equations with Variable Coefficients / Section 3.5：

Nonlinear Equations That Can Be Linearized / Section 3.6：

The z-Transform / Section 3.7：

Stability Theory / Chapter 4：

Initial Value Problems for Linear Systems / Section 4.1：

Stability of Linear Systems / Section 4.2：

Phase Plane Analysis for Linear Systems / Section 4.3：

Fundamental Matrices and Floquet Theory / Section 4.4：

Stability of Nonlinear Systems / Section 4.5：

Chaotic Behavior / Section 4.6：

Asymptotic Methods / Chapter 5：

Asymptotic Analysis of Sums / Section 5.1：

Linear Equations / Section 5.3：

Nonlinear Equations / Section 5.4：

The Self-Adjoint Second Order Linear Equation / Chapter 6：

Sturmian Theory / Section 6.1：

Green's Functions / Section 6.3：

Disconjugacy / Section 6.4：

The Riccati Equation / Section 6.5：

Oscillation / Section 6.6：

The Sturm-Liouville Problem / Chapter 7：

Finite Fourier Analysis / Section 7.1：

Nonhomogeneous Problem / Section 7.3：

Discrete Calculus of Variations / Chapter 8：

Necessary Conditions / Section 8.1：

Sufficient Conditions and Disconjugacy / Section 8.3：

Boundary Value Problems for Nonlinear Equations / Chapter 9：

The Lipschitz Case / Section 9.1：

Existence of Solutions / Section 9.3：

Boundary Value Problems for Differential Equations / Section 9.4：

Partial Difference Equations / Chapter 10：

Discretization of Partial Differential Equations / Section 10.1：

Solutions of Partial Difference Equations / Section 10.2：

Appendix

Answers to Selected Problems

References

Index