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中立型Lotka-Volterra系统正周期解的存在性
引用本文:吴洪武.中立型Lotka-Volterra系统正周期解的存在性[J].应用泛函分析学报,2004,6(4):297-305.
作者姓名:吴洪武
作者单位:华南理工大学应用数学系,广东,广州,510640
基金项目:Project supported by the Natoinal Education Committee Doctoral Foundation of China (2 0 0 2 0 5 5 80 92 )
摘    要:利用迭合度理论的连续定理,讨论了一类中立型系统的正周期解的存在性.得到了正周期解存在的一些充分条件.

关 键 词:解的存在性  正周期解  Lotka-Volterra系统  迭合度  中立型系统  连续  充分条件

The Existence of Positive Periodic Solution for a Neutral Delay Lotka-Volterra System
WU Hong-wu.The Existence of Positive Periodic Solution for a Neutral Delay Lotka-Volterra System[J].Acta Analysis Functionalis Applicata,2004,6(4):297-305.
Authors:WU Hong-wu
Institution:WU Hong-wu Department of Applied Mathematics,South China University of Technology,Guangzhou 510640,China
Abstract:We deal with the existence of positive periodic solution for a neutral delay Lotka-Volterra system. By using the continuation theorem of coincidence theory, we obtain some sufficient conditions of the existence of positive periodic solution for the above system.
Keywords:positive periodic solution  neutral delay Lotka-Volterra system  continuation theorem of coincidence degree
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