| 一类二阶泛函微分方程周期解存在性问题 |
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| 引用本文： | 任景莉,葛渭高.一类二阶泛函微分方程周期解存在性问题[J].数学学报,2004,47(3):569-578. |
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| 作者姓名： | 任景莉 葛渭高 |
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| 作者单位： | 1. 中国科学院数学与系统科学研究院系统科学研究所;郑州大学数学系,郑州,450052
2. 北京理工大学数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金(10371006)，高校博士点专项基金(199000722) |
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| 摘 要： | 利用重合度理论研究一类二阶泛函微分方程x″(t)+f(t,x_t)x′~n+β(t)g(x(t-τ(t)))=p(t)的周期解问题,本文得到了周期解存在的新的结果。
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| 关 键 词： | 泛函微分微分方程 周期解 重合度理论 |
| 文章编号： | 0583-1431(2004)03-0569-10 |
On the Existence of Periodic Solutions for the Second Order Functional Differential Equation |
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| Jing Li REN Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese Academy oj Sciences,Beijing ,P. R. China.On the Existence of Periodic Solutions for the Second Order Functional Differential Equation[J].Acta Mathematica Sinica,2004,47(3):569-578. |
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| Authors: | Jing Li REN Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy oj Sciences Beijing P R China |
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| Institution: | Jing Li REN Institute of Systems Science, Academy of Mathematics and Systems Science,Chinese Academy oj Sciences, Beijing 100080, P. R. China Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China Wei Gao GE Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China |
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| Abstract: | In this paper, by using the theorem of coincidence degree, the authors study
periodic solution to a class of second order functional diffrential equation x"(t) +
f(t, x_t)x'" +β(t)g(x(t-T(t))) =p(t). Some new results for the existence of the periodic
solution are obtained. |
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| Keywords: | Functional differential equation Periodic solution Coincidence degree |
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