Description
Springer An Introduction to Difference Equations by Saber Elaydi
A must-read for mathematicians, scientists and engineers who want to understand difference equations and discrete dynamics_x000D__x000D__x000D_Contains the most complete and comprehenive analysis of the stability of one-dimensional maps or first order difference equations. _x000D__x000D__x000D_Has an extensive number of applications in a variety of fields from neural network to host-parasitoid systems. _x000D__x000D__x000D_Includes chapters on continued fractions, orthogonal polynomials and asymptotics. _x000D__x000D__x000D_Lucid and transparent writing style_x000D_ Table of contents :- _x000D_
* 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 * Answers and Hints to Selected Problems * Appendix A: Stability of Nonhyperbolic Fixed Points of Maps on the Real Line * Vandermonde Matrix * Stability of Nondifferentiable Maps * Stable Manifold and Hartman-Grobman-Cushing Theorems * Levin-May Theorem * Classical Orthogonal Polynomials * Identities and Formulas * References * Index_x000D_