Global Behavior of Nonlinear Difference Equations of Higher Order with Applications (e-bog) af Ladas, G.
Ladas, G. (forfatter)

Global Behavior of Nonlinear Difference Equations of Higher Order with Applications e-bog

436,85 DKK (inkl. moms 546,06 DKK)
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, ec...
E-bog 436,85 DKK
Forfattere Ladas, G. (forfatter)
Forlag Springer
Udgivet 9 marts 2013
Genrer Cybernetics and systems theory
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9789401717038
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.