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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


Questions and comments concerning this page are to be addressed to selaydi@trinity.edu .