| 一类二阶微分方程周期解的存在性 |
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| 引用本文： | 陈新一. 一类二阶微分方程周期解的存在性[J]. 数学的实践与认识, 2007, 37(16): 203-205 |
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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,甘肃,兰州,730030 |
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| 摘 要： | 研究二阶非线性滞后型微分方程x。(t)+P[x(。t)]+Q[x(。t)]R[x(t-r)]=f(t)通过Lyaponov方法给出了ω-周期解的存在性定理和时滞范围的简明表达式,推广了一些原有结果.
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| 关 键 词： | 滞后型微分方程 周期解 存在性 |
| 修稿时间： | 2007-01-21 |
The Existence of Periodic Solutions for a Class of Second order Differential Equations |
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| CHEN Xin-yi. The Existence of Periodic Solutions for a Class of Second order Differential Equations[J]. Mathematics in Practice and Theory, 2007, 37(16): 203-205 |
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| Authors: | CHEN Xin-yi |
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| Abstract: | The second order nonlinear retarded differential equation x¨(t)+P+QR[x(t-τ)]=f(t)is considered.A theorem on existence of ω-periodic solutions is given by means of the Lyapunov′s method.A brief expression about the bound of time-delay is obtained.This obtained result generalizes some known results. |
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| Keywords: | retarded differential equation periodic solution existence |
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