An introduction to difference equations / Saber Elaydi
Type de document : Livre numériqueCollection : Undergraduate texts in mathematicsLangue : anglais.Éditeur : New York : Springer, 2005ISBN: 9780387276021.ISSN: 2197-5604.Sujet MSC : 39Axx, Difference and functional equations - Difference equations39-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to difference and functional equations
93-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to systems and control theory
37Jxx, Dynamical systems and ergodic theory - Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systemsEn-ligne : Springerlink | Zentralblatt
The first two editions of the book are again updated by recent results on local and global stability of one-dimensional maps, on linear and nonlinear higher-order scalar difference equations, in particular, on extensions of the Poincaré and Perron theorems concerning the asymptotic behaviour of solutions, and on new biological models as the larval-pupal-adult flour beetle model. Old parts of the book are rewritten, so that the new edition contains more proofs and explanations, more graphs and applications. Some of the proofs are shifted into appendices.
Unfortunately, not all errors pointed out in the reviews of the former editions, are corrected, and there appear new ones ... (Zentralblatt)
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