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An Introduction to Difference Equations / by Saber Elaydi
(Undergraduate Texts in Mathematics. ISSN:21975604)

3rd ed. 2005.
出版者 New York, NY : Springer New York : Imprint: Springer
出版年 2005
本文言語 英語
大きさ XXII, 540 p : online resource
著者標目 *Elaydi, Saber author
SpringerLink (Online service)
件 名 LCSH:Difference equations
LCSH:Functional equations
LCSH:Mathematical analysis
FREE:Difference and Functional Equations
FREE:Analysis
一般注記 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
The book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material, yet the presentation is simple enough for the book to be used by advanced undergraduate and beginning graduate students. This third edition includes more proofs, more graphs, and more applications. The author has also updated the contents by adding a new chapter on Higher Order Scalar Difference Equations, along with recent results on local and global stability of one-dimensional maps, a new section on the various notions of asymptoticity of solutions, a detailed proof of Levin-May Theorem, and the latest results on the LPA flour-beetle model. Saber Elaydi is Professor of Mathematics at Trinity University. He is also the author of Discrete Chaos (1999), and the Editor-In-Chief of the Journal of Difference Equations and Applications. About the Second Edition: The book is a valuable reference for anyone who models discrete systems. Dynamicists have the long-awaited discrete counterpart to standard textbooks such as Hirsch and Smale ('Differential Equations, Dynamical Systems, and Linear Algebra'). It is so well written and well designed, and the contents are so interesting to me, that I had a difficult time putting it down. - Shandelle Henson, Journal of Difference Equations and Applications Among the few introductory texts to difference equations this book is one of the very best ones. It has many features that the other texts don't have, e.g., stability theory, the Z-transform method (including a study of Volterra systems), and asymptotic behavior of solutions of difference equations (including Levinson's lemma) are studied extensively. It also contains very nice examples that primarily arise in applications in a variety of disciplines, including neural networks, feedback control, biology, Markov chains, economics, and heat transfer... -Martin Bohner, University of Missouri, Rolla
HTTP:URL=https://doi.org/10.1007/0-387-27602-5
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Springer eBooks 9780387276021
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データ種別 電子ブック
分 類 LCC:QA431
DC23:515.625
DC23:515.75
書誌ID 4000134367
ISBN 9780387276021

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