Difference Equations
An Introduction with Applications
- 2nd Edition - June 16, 2000
- Latest edition
- Authors: Walter G. Kelley, Allan C. Peterson
- Language: English
Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includ… Read more
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.
- 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
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.
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.
"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
- Edition: 2
- Latest edition
- Published: June 16, 2000
- Language: English
WK
Walter G. Kelley
Affiliations and expertise
University of Oklahoma, Norman, U.S.A.AP
Allan C. Peterson
Affiliations and expertise
University of Nebraska, Lincoln, U.S.A.