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| 一类具时滞变量的类p-Laplacian Liénard微分方程周期解的存在性 |
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梁峰,鲁世平,韩茂安
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1. 安徽师范大学数学系,安徽,芜湖241000;上海师范大学数学系,上海,200234
2. 安徽师范大学数学系,安徽,芜湖241000
3. 上海师范大学数学系,上海,200234
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| 摘要: |
| 本文研究了一类具类p-Laplacian项Liénard微分方程.应用广义Borsuk定理,在系数c(t)为非常值函数的情况下,得到了该方程周期解存在性的一个新的结果.Abstract：In this article,we study a kind of p-Laplacian-like Liénard differential equation.By using the generalized Borsuk theorem in coincidence degree theory,a new result on the existence of its periodic solution is obtained in the case that the cofficient c(t)is not a constant function. |
| 关键词: 周期解 类p-Laplacian算子 Liénard微分方程 时滞变量 广义Borsuk定理 |
| DOI： |
| 分类号:O175.14 |
| 基金项目:Supported by Natural Science Foundation of Education Department of Anhui Province (KJ2010B353); Young Teacher’s Foundation of Anhui Normal University (2008xqn46) |
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| EXISTENCE OF PERIODIC SOLUTIONS FOR A p-LAPLACIAN-LIKE LI(E)NARD DIFFERENTIAL EQUATION WITH A DEVIATING ARGUMENT |
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LIANG Feng,LU Shi-ping,HAN Mao-an
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LIANG Feng1,2,LU Shi-ping1,HAN Mao-an2 (1. Dept. of Math.,Anhui Normal University,Wuhu 241000,China) (2. Dept. of Math.,Shanghai Normal University,Shanghai 200234,China)
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| Abstract: |
| In this article,we study a kind of p-Laplacian-like Liénard differential equation.By using the generalized Borsuk theorem in coincidence degree theory,a new result on the existence of its periodic solution is obtained in the case that the cofficient c(t)is not a constant function. |
| Key words: periodic solution p-Laplacian-like Liénard differential equation deviating argument generalized Borsuk theorem |
