| 一类二阶具偏差变元微分方程周期解 |
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| 引用本文： | 陈应生. 一类二阶具偏差变元微分方程周期解[J]. 华侨大学学报(自然科学版), 2012, 33(4): 467-471 |
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| 作者姓名： | 陈应生 |
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| 作者单位： | 华侨大学数学科学学院,福建泉州,362021 |
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| 基金项目： | 国务院侨办科研基金资助项目，福建省自然科学基金资助项目 |
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| 摘 要： | 研究具有偏差变元的二阶微分方程x″(t)+h(x′(t))+f(x(t))x′(t)+g(t,x(t-τ(t)))=p(t)的周期解的存在性问题,利用重合度理论,在满足一定条件下,得到方程至少存在一个周期解的新结果.
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| 关 键 词： | 微分方程 周期解 重合度 偏差变元 |
Periodic Solutions for a Class of Second Order Differential Equation with Deviating Arguments |
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| CHEN Ying-sheng. Periodic Solutions for a Class of Second Order Differential Equation with Deviating Arguments[J]. Journal of Huaqiao University(Natural Science), 2012, 33(4): 467-471 |
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| Authors: | CHEN Ying-sheng |
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| Affiliation: | CHEN Ying-sheng(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China) |
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| Abstract: | In this paper,we study the problem on the existence of periodic solutions for a class of second order differential equations x″(t)+h(x′(t))+f(x(t))x′(t)+g(t,x(t-τ(t)))=p(t).By means of the coincidence degree theory,one new result is obtained under some conditions. |
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| Keywords: | differential equation periodic solution coincidence degree deviating arguments |
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