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Global Behavior of Nonlinear Difference Equations of Higher Order with Applications - V.L. Kocic, G. Ladas

Global Behavior of Nonlinear Difference Equations of Higher Order with Applications

, (Autoren)

Buch | Hardcover
228 Seiten
1993
Springer (Verlag)
978-0-7923-2286-3 (ISBN)
CHF 74,85 inkl. MwSt
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.

1. Introduction and Preliminaries.- 2 Global Stability Results.- 3 Rational Recursive Sequences.- 4 Applications.- 5 Periodic Cycles.- 6 Open Problems and Conjectures.- A The Riccati Difference Equation.- B A Generalized Contraction Principle.- C Global Behavior of Systems of Nonlinear Difference Equations.- C.1 A Discrete Epidemic Model.- C.2 A Plant-Herbivore System.- C.3 Discrete Competitive Systems.- Author Index.

Erscheint lt. Verlag 31.5.1993
Reihe/Serie Mathematics and Its Applications ; 256
Mathematics and Its Applications ; 256
Zusatzinfo XII, 228 p.
Verlagsort Dordrecht
Sprache englisch
Maße 156 x 234 mm
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Informatik Weitere Themen Bioinformatik
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 0-7923-2286-X / 079232286X
ISBN-13 978-0-7923-2286-3 / 9780792322863
Zustand Neuware
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