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A Note on Periodic Solutions of Second Order Nonautonomous Singular Coupled Systems

机译:二阶非自治奇异耦合系统周期解的一个注记

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摘要

We establish the existence of periodic solutions of the second order nonautonomous singular coupled systems x" + a_1(t)x = f_1(t,y(t) + e_1(t) for a.e. t ∈ [0,T], y" + a_2(t)y = f_2(t,x(t)) + e_2(t) for a.e. t ∈ [0,T]. The proof relies on Schauder's fixed point theorem.
机译:我们建立了ae t∈[0,T],y“ +的二阶非自治奇异耦合系统x” + a_1(t)x = f_1(t,y(t)+ e_1(t)的周期解的存在性对于ae t∈[0,T],a_2(t)y = f_2(t,x(t))+ e_2(t)。证明依赖于Schauder不动点定理。

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  • 来源
    《Mathematical Problems in Engineering》 |2010年第3期|p.225-239|共15页
  • 作者单位

    School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China,Department of Applied Mathematics, Changchun Taxation College, Changchun 130117, China;

    School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China,Department of Mathematics, Harbin University, Harbin 150086, China;

    School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;

    School of Mathematical Sciences, Fudan University, Shanghai 200437, China;

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