Difference Equations An Introduction with Applications

Name: Difference Equations An Introduction with Applications
Price: 30.9 USD
Availability: InStock
ISBN: 9780124033306

ISBN-10: 012403330X

ISBN-13: 9780124033306

Edition: 2nd 2001 (Revised)

Authors: Walter G. Kelley, Allan C. Peterson

List price: $137.00

30 day, 100% satisfaction guarantee!

Marketplace

2 new & used from $30.90

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

This work uses elementary analysis and linear algebra to investigate solutions of difference equations. Some of the techniques discussed are summation methods, z-transforms, matrix methods, stability, chaos, and asymptotic methods.

Book details

List price: $137.00
Edition: 2nd
Copyright year: 2001
Publisher: Elsevier Science & Technology
Publication date: 6/16/2000
Binding: Hardcover
Pages: 403
Size: 6.50" wide x 9.25" long x 0.36" tall
Weight: 1.892
Language: English



Preface



Introduction



The Difference Calculus



The Difference Operator



Summation



Generating Functions and Approximate Summation



Linear Difference Equations



First Order Equations



General Results for Linear Equations



Solving Linear Equations



Applications



Equations with Variable Coefficients



Nonlinear Equations That Can Be Linearized



The z-Transform



Stability Theory



Initial Value Problems for Linear Systems



Stability of Linear Systems



Phase Plane Analysis for Linear Systems



Fundamental Matrices and Floquet Theory



Stability of Nonlinear Systems



Chaotic Behavior



Asymptotic Methods



Introduction



Asymptotic Analysis of Sums



Linear Equations



Nonlinear Equations



The Self-Adjoint Second Order Linear Equation



Introduction



Sturmian Theory



Green's Functions



Disconjugacy



The Riccati Equation



Oscillation



The Sturm-Liouville Problem



Introduction



Finite Fourier Analysis



Nonhomogeneous Problem



Discrete Calculus of Variations



Introduction



Necessary Conditions



Sufficient Conditions and Disconjugacy



Boundary Value Problems for Nonlinear Equations



Introduction



The Lipschitz Case



Existence of Solutions



Boundary Value Problems for Differential Equations



Partial Difference Equations



Discretization of Partial Differential Equations



Solutions of Partial Difference Equations


Appendix


Answers to Selected Problems


References


Index