Global Behavior of Nonlinear Difference Equations of Higher Order with Applications

Ladas G. Kocic V.L.

ISBN 10: 9048142733 / ISBN 13: 9789048142736

Published by Springer, 2010

About this Item

PRINT ON DEMAND pp. 242.

Seller Inventory # 183094456

Bibliographic Details

• Title: Global Behavior of Nonlinear Difference Equations of Higher Order with Applications
• Publisher: Springer
• Publication Date: 2010
• Language: English
• ISBN 10: 9048142733
• ISBN 13: 9789048142736
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.