Difference Equations

Difference Equations

An Introduction with Applications

2nd Edition - May 5, 2000
  • Authors: Walter Kelley, Allan Peterson
  • Hardcover ISBN: 9780124033306

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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

  • 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.

Product details

  • No. of pages: 403
  • Language: English
  • Copyright: © Academic Press 2000
  • Published: May 5, 2000
  • Imprint: Academic Press
  • Hardcover ISBN: 9780124033306

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.