An introduction to difference equations / Saber Elaydi

Auteur: Elaydi, Saber (1943-) - AuteurType de document: Livre numériqueCollection: Undergraduate texts in mathematics, (Online)Langue: anglaisÉditeur: New York : Springer, 2005 ISBN: 9780387276021 Note: 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) Sujets MSC: 39Axx Difference and functional equations -- Difference equations
39-01 Difference and functional equations -- Instructional exposition (textbooks, tutorial papers, etc.)
93-01 Systems theory; control -- Instructional exposition (textbooks, tutorial papers, etc.)
37Jxx Dynamical systems and ergodic theory -- Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
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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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