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EXISTENCE OF POSITIVE PERIODIC SOLUTIONS TO A DISCRETE TIME NON-AUTONOMOUS COMPETING SYSTEM WITH FEEDBACK CONTROLS 被引量：1

EXISTENCE OF POSITIVE PERIODIC SOLUTIONS TO A DISCRETE TIME NON-AUTONOMOUS COMPETING SYSTEM WITH FEEDBACK CONTROLS
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摘要 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. 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.
作者 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)
出处 《Annals of Differential Equations》 2011年第1期62-69,共8页 微分方程年刊（英文版）
基金 supported by National Natural Science Foundation of China (No.10771215) the Scientific Research Initializing Foundation of Hunan Institute of Engineering (0744)
关键词 competing system periodic solution discrete time delay topological degree competing system periodic solution discrete time delay topological degree
分类号 O175 [理学—基础数学]
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参考文献13

  • 1Zhang Huiying Xia Yonghui.EXISTENCE OF POSITIVE PERIODIC SOLUTION OF A DISCRETE TIME MUTUALISM SYSTEM WITH DELAYS[J].Annals of Differential Equations,2006,22(2):225-233. 被引量：1
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二级参考文献1

  • 1Yonghui Xia,Jinde Cao.Almost Periodicity in an Ecological Model with M-Predators and N-Preys by “Pure-Delay Typ” System[J].Nonlinear Dynamics.2005(3)

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Annals of Differential Equations
2011年 第1期

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