Utopia by Lincoln Child

Utopia by Lincoln Child

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.

SKU	Unavailable
ISBN 13	9780345455208
ISBN 10	0345455207
Title	Utopia
Author	Lincoln Child
Condition	Unavailable
Binding Type	Paperback
Publisher	Fawcett Books
Year published	2003-12-02
Number of pages	464
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.