Global Behavior of Nonlinear Difference Equations of Higher Order With Applications: 256 - Rilegato

Kocic, V. L.; Ladas, G.

 
9780792322863: Global Behavior of Nonlinear Difference Equations of Higher Order With Applications: 256
Rilegato
ISBN 10: 079232286X ISBN 13: 9780792322863
Casa editrice: Kluwer Academic Pub, 1993

Sinossi

Nonlinear difference equations of order greater than one are of paramount impor­ tance in applications where the (n + 1)st generation (or state) of the system depends on the previous k generations (or states). Such equations also appear naturally as discrete analogues and as numerical solutions of differential and delay differential equations which model various diverse phenomena in biology, ecology, physiology, physics, engineering and economics. Our aim in this monograph is to initiate a systematic study of the global behavior of solutions of nonlinear scalar difference equations of order greater than one. Our primary concern is to study the global asymptotic stability of the equilibrium solution. We are also interested in whether the solutions are bounded away from zero and infinity, in the description of the semi cycles of the solutions, and in the existence of periodic solutions. This monograph contains some recent important developments in this area together with some applications to mathematical biology. Our intention is to expose the reader to the frontiers of the subject and to formulate some important open problems that require our immediate attention.

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Contenuti

Preface. 1. Introduction and Preliminaries. 2. Global Stability Results. 3. Rational Recursive Sequences. 4. Applications. 5. Periodic Cycles. 6. Open Problems and Conjectures. Appendix: A. The Riccati Difference Equation. B. A Generalized Contraction Principle. C. Global Behaviour of Systems of Nonlinear Difference Equations. Bibliography. Subject Index. Author Index.

Product Description

Book by Kocic VL Ladas G

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Kluwer Academic Pub
Data di pubblicazione
1993
Lingua
Inglese
ISBN 10 
079232286X
ISBN 13 
9780792322863
Rilegatura
Copertina rigida
Numero di pagine
244
Contatto del produttore
ProductSafety@springernature.com
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Poststr. 9
Darmstadt
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Germania

Altre edizioni note dello stesso titolo

9789048142736: Global Behavior of Nonlinear Difference Equations of Higher Order with Applications: 256

Edizione in evidenza

ISBN 10:  9048142733 ISBN 13:  9789048142736
Casa editrice: Springer, 2010
Brossura