| 二阶非线性泛函微分方程周期解的存在定理 |
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| 引用本文： | 陈新一. 二阶非线性泛函微分方程周期解的存在定理[J]. 西北民族学院学报, 2010, 31(1) |
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| 作者姓名： | 陈新一 |
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| 作者单位： | 西北民族大学,中国民族信息技术研究院,甘肃,兰州730030 |
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| 摘 要： | 利用重合度理论研究一类二阶时滞泛函微分方程x"(t)+h(x'(t))+f(x(t))x'(t)+g(x(t-τ(t)))=p(t)周期解问题,可得到此类方程日的T(T0)周期解存在性的若干新结果,也可推广已有的结果.
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| 关 键 词： | 泛函微分方程 周期解 重合度 |
The Existence Theorem of Periodic Solution in the Second Order Nonlinear Functional Differential Equation |
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| Abstract: | By employing the coincidence degree theory,we study a kind of second order functional differential equations with delay as follows x"(t)+h(x'(t))+f(x(t))x'(t)+g(x(t-τ(t)))=p(t),and some new results on the existence of T(T>0)periodic solutions are obtained.Our work generalizes the known result. |
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| Keywords: | functional differential equation periodic solution coincidence degree |
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