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Difference Equations and Their Applications

Author: A N Sharkovskiĭ; I︠U︡ L Maĭstrenko; E Yu Romanenko
Publisher: Dordrecht : Springer Netherlands, 1993.
Series: Mathematics and Its Applications, 250.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book presents an exposition of recently discovered, unusual properties of difference equations. Even in the simplest scalar case, nonlinear difference equations have been proved to exhibit surprisingly varied and qualitatively different solutions. The latter can readily be applied to the modelling of complex oscillations and the description of the process of fractal growth and the resulting fractal structures.  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: A N Sharkovskiĭ; I︠U︡ L Maĭstrenko; E Yu Romanenko
ISBN: 9789401117630 9401117632
OCLC Number: 851378838
Description: 1 online resource (xii, 358 pages).
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.
Series Title: Mathematics and Its Applications, 250.
Responsibility: by A.N. Sharkovsky, Yu. L. Maistrenko, E. Yu. Romanenko.

Abstract:

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.  Read more...

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' 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 Read more...

 
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