Global Behavior of Nonlinear Difference Equations of Higher Order with Applications is popular PDF and ePub book, written by V.L. Kocic in 2013-03-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications can be Read Online from any device for your convenience.
Global Behavior of Nonlinear Difference Equations of Higher Order with Applications Book PDF Summary
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.
Detail Book of Global Behavior of Nonlinear Difference Equations of Higher Order with Applications PDF
- Author : V.L. Kocic
- Release : 09 March 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401717038
- Genre : Mathematics
- Total Page : 237 pages
- Language : English
- PDF File Size : 13,8 Mb
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