| 一类二阶具多偏差变元微分方程的周期解 |
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| 引用本文： | 施吕蓉,周宗福,高伟.一类二阶具多偏差变元微分方程的周期解[J].山西师范大学学报,2012(4):12-17. |
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| 作者姓名： | 施吕蓉 周宗福 高伟 |
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| 作者单位： | [1]芜湖职业技术学院基础部,安徽芜湖241000 [2]安徽大学数学科学学院,安徽合肥230000 |
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| 基金项目： | 安徽省高校省级自然科学研究项目（KJ20122430）. |
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| 摘 要： | 主要讨论了一类二阶具多偏差变元的泛函微分方程周期解的存在性，利用重合度理论和关于周期函数的最佳不等式，得到了文中的若干结论．
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| 关 键 词： | 泛函微分方程 偏差变元 周期解 重合度 |
The Existence of Periodic Solutions for a Kind of Second Order Differential Equation with Deviating Arguments |
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| SHI Lv rong,ZHOU Zong fu,GAO Wei.The Existence of Periodic Solutions for a Kind of Second Order Differential Equation with Deviating Arguments[J].Journal of Shanxi Teachers University,2012(4):12-17. |
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| Authors: | SHI Lv rong ZHOU Zong fu GAO Wei |
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| Institution: | 1. Department of Basic, Wuhu Institute of Technology, Wuhu 241000, Anhui, China; 2. School of Mathematical Sciences, Anhui University, Hefei 230000, Anhui , China) |
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| Abstract: | A kind of periodic solutions of the second order differential equation with multiple deviating arguments is investigated. By means of Mawhin continue theorem and sharp inequalities for periodic functions, some sufficient conditions are obtained. |
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| Keywords: | functional differential equations deviating periodic solution coincidence degree |
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