- 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
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The Difference Calculus.
Linear Difference Equations.
The Self-Adjoint Second Order Linear Equation.
The Sturm-Liouville Problem.
Discrete Calculus of Variations.
Boundary Value Problems for Nonlinear Equations.
Partial Difference Equations.