| 一类具偏差变元的二阶微分方程周期解 |
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| 引用本文： | 杜波,鲁世平.一类具偏差变元的二阶微分方程周期解[J].数学季刊,2008,23(1):28-35. |
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| 作者姓名： | 杜波 鲁世平 |
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| 作者单位： | DU Bo（Department of Applied Mathematics,Beijing Institute of Technology,Beijing 100081,China;Department of Mathematics and Compute,Anhui Normal University,Wuhu 241000,China）
LU Shi-ping（Department of Mathematics and Compute,Anhui Normal University,Wuhu 241000,China） |
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| 摘 要： | By using the theory of coincidence degree,we study a kind of periodic solutions to second order differential equation with a deviating argument such as x"(t) f(x'(t)) h(x(t))x'(t) g(x(t-τ(t)))=p(t),some sufficient conditions on the existence of periodic solutions are obtained.
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| 关 键 词： | deviating argument periodic solution theory of coincidence degree 偏差变元 二阶微分 方程周期解 Deviating Argument Differential Equation Second Order Kind Solutions sufficient conditions existence study kind periodic solutions second order differential equation deviating argument theory of coincidence degree |
| 文章编号： | 1002-0462(2008)01-0028-08 |
| 修稿时间： | 2005年6月3日 |
Periodic Solutions for a Kind of Second Order Differential Equation with a Deviating Argument |
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| DU Bo LU Shi-ping.Periodic Solutions for a Kind of Second Order Differential Equation with a Deviating Argument[J].Chinese Quarterly Journal of Mathematics,2008,23(1):28-35. |
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| Authors: | DU Bo LU Shi-ping |
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| Institution: | [1]Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China [2]Department of Mathematics and Compute, Anhui Normal University, Wuhu 241000, China |
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| Abstract: | By using the theory of coincidence degree,we study a kind of periodic solutions to second order differential equation with a deviating argument such as x"(t) f(x'(t)) h(x(t))x'(t) g(x(t-τ(t)))=p(t),some sufficient conditions on the existence of periodic solutions are obtained. |
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| Keywords: | deviating argument periodic solution theory of coincidence degree |
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