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一类二阶微分方程组边值问题的正周期解
引用本文:谢志伟.一类二阶微分方程组边值问题的正周期解[J].重庆师专学报,2014(5):20-22.
作者姓名:谢志伟
作者单位:成都理工大学管理科学学院,四川成都610051
摘    要:考察二阶非线性常系数微分方程组的正周期解,应用锥理论不动点理论证明了在一定条件下,问题有一个正解和两个正解的存在性。

关 键 词:正周期解    不动点指数

Positive periodic solutions for a kind of second-order differential equations
XIE Zhiwei.Positive periodic solutions for a kind of second-order differential equations[J].Journal of Chongqing Teachers College,2014(5):20-22.
Authors:XIE Zhiwei
Institution:XIE Zhiwei ( College of Management Science, Chengdu University of Technology, Chengdu Sichuan 610051, China)
Abstract:In this paper,we study the positive periodic solutions to the following second-order differential system periodic boundary value problem,by using the fixed-point index theorem,it was obtained that this problem has at lest one positive periodic solution and two positive periodic solutions at a certain condition.
Keywords:positive periodic solutions  cone  fixed point index
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