An Introduction to Difference Equations

Contents

• Preface
• List of Symbols
• Dynamics of First-Order Difference Equations
• Linear Difference Equations of Higher Order
• Systems of Linear Difference Equations
• Stability Theory
• Higher-Order Scalar Difference Equations
• The Z-Transform Method and Volterra Difference Equations
• Oscillation Theory
• Asymptotic Behavior of Difference Equations
• Applications to Continued Fractions and Orthogonal Polynomials
• Control Theory
• Appendix A: Stability of Nonhyperbolic Fixed Points of Maps on the Real Line
• Appendix B: Vandermonde Matrix
• Appendix C: Stability of Nondifferentiable Maps
• Appendix D: Stable Manifold and Hartman-Grobman-Cushing Theorems
• Appendix E: Levin-May Theorem
• Appendix F: Classical Orthogonal Polynomials
• Appendix G: Identities and Formulas
• Answers and Hints to Selected Problems
• Maple Programs
• References
• Index