二阶中立型泛函微分方程的周期解 |
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引用本文: | 武跃祥,武钢.二阶中立型泛函微分方程的周期解[J].数学的实践与认识,2014(24). |
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作者姓名: | 武跃祥 武钢 |
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作者单位: | 山西财经大学应用数学学院;南开大学商学院; |
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基金项目: | 资助项目:山西财经大学应用数学学院分析与代数教学团队 |
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摘 要: | 考虑如下一类二阶中立型泛函微分方程的周期解:u″(t)-cu″(t-δ)+a(t)u(t)=λf(t,u(t-τ(t))),其中,λ>0为参数,c和δ为常数.通过应用Krasnoselskii锥不动点定理及一些分析技巧给出了这类方程周期正解的存在性非存在性和多解性.
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关 键 词: | 泛函微分方程 Krasnoselskii锥不动点定理 周期正解 |
Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation |
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Abstract: | The main purpose of this paper is to examine the following equation u"(t)-cu(t- δ) + a(t)u(t) = λf(t,u(t- τ(t))),here,λ > 0,c and 5 are constants.The existence and nonexistence and multiplicity of positive periodic solutions are given by employing Krasnoselskii fixed point theorem and some analysis techniques.Our conclusions extend or improve recent related results. |
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Keywords: | functional differential equation krasnoselskii fixed point theorem periodic positive solution |
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