Description
Book Synopsis
m, m > 0, or (which is, in fact, the same) to difference equations The world of difference equations, which has been almost hidden up to now, begins to open in all its richness.
Trade Review
' I enjoyed reading this book, and i am happy to recommend it to all those interested in finding out more about this fascinating but rather unfamiliar branch of dynamical systems.
' Bulletin London Math. Soc. 27 1995
Table of Contents
Notation. Preface. Introduction. Part I: One-Dimensional Dynamical Systems. 1. Introduction to the Theory of Dynamical Systems. 2. Periodic Trajectories. 3. Behavior of Trajectories. 4. Dynamical Systems for U-Maps. Part II: Difference Equations with Continuous Time. 1. Nonlinear Difference Equations. 2. Difference Equations with U Nonlinearity. Part III: Differential-Difference Equations. 1. Completely Integrable Differential-Difference Equations. 2. Differential-Difference Equations close to Difference Ones. 3. Singularly Perturbed Differential-Difference Equations. Part IV: Boundary-Value Problems for Hyperbolic Systems of Partial Differential Equations. 1. Reduction of Boundary-Value Problems to Difference and Differential-Difference Equations. 2. Boundary-Value Problem for a System with Small Parameter. 3. Boundary-Value Problem for System with Two Spatial Variables. References. Index.
