Difference Equations and Their Applications by A.N. Sharkovsky, Y. L. Maistrenko, E.Yu Romanenko.

The theory of difference equations is now enjoying a period of Renaissance. Witness the large number of papers in which problems, having at first sight no common features, are reduced to the investigation of subsequent iterations of the maps f· IR. m ̃ IR. m, m > 0, or (which is, in fact, the sam...

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Bibliographic Details
Main Authors:	Sharkovsky, A.N (Author), Maistrenko, Y. L. (Author), Romanenko, E.Yu (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Dordrecht : Springer Netherlands : Imprint: Springer, 1993.
Edition:	1st ed. 1993.
Series:	Mathematics and Its Applications ; 250 Springer eBook Collection.
Subjects:	Difference equations. Functional equations. Partial differential equations. Mathematical models. Electronic resources (E-books)
Online Access:	Click to view e-book
Holy Cross Note:	Loaded electronically. Electronic access restricted to members of the Holy Cross Community.

Table of Contents:

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
II. Difference Equations with Continuous Time
1. Nonlinear Difference Equations
2. Difference Equations with U-Nonlinearity
III. Differential-Difference Equations
1. Completely Integrable Differential-Difference Equations
2. Differential-Difference Equations Close To Difference Ones
3. Singularly Perturbed Differential-Difference Equations
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 Systems with Two Spatial Variables
References.

Difference Equations and Their Applications by A.N. Sharkovsky, Y. L. Maistrenko, E.Yu Romanenko.

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