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Difference Equations - 2nd Edition - ISBN: 9780124033306, 9780080504254

Difference Equations

2nd Edition

An Introduction with Applications

Authors: Walter Kelley Allan Peterson
Hardcover ISBN: 9780124033306
eBook ISBN: 9780080504254
Imprint: Academic Press
Published Date: 16th June 2000
Page Count: 403
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Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics.

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


Intended for courses on difference equations, algorithms, discrete math, and differential equations

Table of Contents

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.


No. of pages:
© Academic Press 2001
16th June 2000
Academic Press
Hardcover ISBN:
eBook ISBN:

About the Authors

Walter Kelley

Affiliations and Expertise

University of Oklahoma, Norman, U.S.A.

Allan Peterson

Affiliations and Expertise

University of Nebraska, Lincoln, U.S.A.


"The first edition of this book has been the best introduction to difference equations available; the second edition improves this even further." --Martin Bohner, University of Missouri-Rolla

"The authors have their finger on the current trends in difference equations. This is a well-written textbook by authors who are known as teachers and expositors." --Johnny Henderson, Auburn University

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