EXISTENCE OF POSITIVE PERIODIC SOLUTIONS TO A DISCRETE TIME NON-AUTONOMOUS COMPETING SYSTEM WITH FEEDBACK CONTROLS |
| |
| Authors: | Changjin Xu Maoxin Liao |
| |
| Affiliation: | Changjin Xu1,2,Maoxin Liao2(1. School of Math. and Statistics,Guizhou Key Laboratory of Economics System Simulation,Guizhou College of Finance and Economics,Guiyang 550004,2. Dept. of Math.,Central South University,Changsha 410083) |
| |
| Abstract: | In this paper,a class of discrete time non-autonomous competing system with feedback controls is considered. With the help of differential equations with piecewise constant arguments,we first propose a discrete model of a continuous non-autonomous competing system with feedback controls. Then,using the coincidence degree and the related continuation theorem as well as some priori estimations,a suficient condition for the existence of positive solutions to difference equations is obtained. |
| |
| Keywords: | competing system periodic solution discrete time delay topological degree |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
