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.
* 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
"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