| 一类二阶中立型Rayleigh方程周期解的存在性 |
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| 引用本文： | 文乾. 一类二阶中立型Rayleigh方程周期解的存在性[J]. 安庆师范学院学报(自然科学版), 2006, 12(4): 80-83 |
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| 作者姓名： | 文乾 |
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| 作者单位： | 安徽师范大学,数学计算机科学学院,安徽,芜湖,241003 |
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| 基金项目： | 安徽省自然科学基金(No.050460103),安徽省教育厅自然科学重点基金(2005kj03lzD)资助 |
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| 摘 要： | 利用Mawhin重合度拓展定理,研究了一类二阶中立型Rayleigh方程[x(t)+ni=1"cix(t-τi)]'=f(x'(t))+g(x(t-γ(t))+p(t)周期解的存在性,给出了该方程存在周期解的充分性定理。
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| 关 键 词： | 中立型Rayleigh方程 周期解 拓展定理 |
| 文章编号： | 1007-4260（2006）-0080-04 |
| 收稿时间： | 2006-04-24 |
| 修稿时间： | 2006-04-24 |
Existence of Periodic Solutions to a Type of Second Order Rayleigh Neutral Equation |
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| WEN Qian. Existence of Periodic Solutions to a Type of Second Order Rayleigh Neutral Equation[J]. Journal of Anqing Teachers College(Natural Science Edition), 2006, 12(4): 80-83 |
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| Authors: | WEN Qian |
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| Affiliation: | School of Mathematics and Computer Science,Anhui Normal University,Wuhu 241003,China |
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| Abstract: | The existence of periodic solutions to a type of second order Rayleigh neutral equation [x(t)+ cix(t-τi)]″=f(x′(t))+g(x(t-γ(t)))+p(t) with multiple deviating arguments is studied by means of the meatheds presented in coincidence degree theory,and sufficient conditions of the equation with periodic solutions are obtained. |
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| Keywords: | rayleigh neutral equation periodic solution continuation theorem |
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