Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Elaydi, Saber N. (1943-....)
Titre(s) : An introduction to difference equations [Texte électronique] / Saber Elaydi
Édition : 3rd ed.
Publication : New York : Springer, cop. 2005
Description matérielle : 1 online resource (xxii, 539 pages)
Collection : Undergraduate texts in mathematics
Note(s) : Includes bibliographical references (pages 523-529) and index
"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."--Jacket
Sujet(s) : Équations aux différences
Indice(s) Dewey :
515.625 (23e éd.) = Equations aux différences
Identifiants, prix et caractéristiques : ISBN 9780387276021
Identifiant de la notice : ark:/12148/cb446417978
Notice n° :
FRBNF44641797
(notice reprise d'un réservoir extérieur)
Table des matières : Preface ; List of Symbols ; 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 ; Answers and Hints to Selected Problems ; Appendix A: Stability
of Nonhyperbolic Fixed Points of Maps on the Real Line ; Vandermonde Matrix ; Stability
of Nondifferentiable Maps ; Stable Manifold and Hartman-Grobman-Cushing Theorems
; Levin-May Theorem ; Classical Orthogonal Polynomials ; Identities and Formulas
; References ; Index.
