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020 _a9780387276021
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024 7 _a10.1007/0-387-27602-5
_2doi
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100 1 _aElaydi, Saber.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_931578
245 1 3 _aAn Introduction to Difference Equations
_h[electronic resource] /
_cby Saber Elaydi.
250 _a3rd ed. 2005.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2005.
300 _aXXII, 540 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUndergraduate Texts in Mathematics,
_x2197-5604
505 0 _aDynamics 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.
520 _aThe 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.
650 0 _aDifference equations.
_915445
650 0 _aFunctional equations.
_921109
650 0 _aMathematical analysis.
_911486
650 1 4 _aDifference and Functional Equations.
_931579
650 2 4 _aAnalysis.
_931580
710 2 _aSpringerLink (Online service)
_931581
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9780387502335
776 0 8 _iPrinted edition:
_z9781441920010
776 0 8 _iPrinted edition:
_z9780387230597
830 0 _aUndergraduate Texts in Mathematics,
_x2197-5604
_931582
856 4 0 _uhttps://doi.org/10.1007/0-387-27602-5
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912 _aZDB-2-SXMS
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