| 二阶非线性泛函微分方程的周期解 |
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| 引用本文： | 陈新一. 二阶非线性泛函微分方程的周期解[J]. 山东大学学报(理学版), 2009, 44(4): 47-50 |
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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; |
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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,得到了周期解存在性的若干新的结果,推广了已有的结果。
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| 关 键 词： | 泛函微分方程 周期解 重合度 |
| 收稿时间： | 2008-11-07 |
Periodic solution in second order nonlinear functional differential equations |
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| CHEN Xin-yi. Periodic solution in second order nonlinear functional differential equations[J]. Journal of Shandong University, 2009, 44(4): 47-50 |
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| Authors: | CHEN Xin-yi |
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| Affiliation: | China Minorities Information Technology Institute;Northwest University for Nationalities;Lanzhou 730030;Gansu;China |
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| Abstract: | By employing the coincidence degree theory, a kind of second order functional differential equations with delay such as x″(t)+h(x′(t))+f(x(t))x′(t)+g(x(t-τ(t)))=p(t)is studied. Some new results on the existence of periodic solutions are obtained, which generalizes the known results. |
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| Keywords: | functional differential equation periodic solution coincidence degree |
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