| 一类具偏差变元的p-Laplacian方程的周期解 |
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| 引用本文： | 唐美兰,刘心歌.一类具偏差变元的p-Laplacian方程的周期解[J].湖南大学学报(自然科学版),2012,39(8):90-92. |
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| 作者姓名： | 唐美兰 刘心歌 |
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| 作者单位： | 中南大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金资助项目(61070190);中南大学前沿研究计划资助项目(2010QZZD015);国家社会科学基金资助项目(10BJL020) |
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| 摘 要： | 应用Manásevich-Mawhin连续性定理,研究了具偏差变元的含有2个p-Laplacian算子的微分方程周期解的存在性,获得了周期解存在的新的充分性条件,并通过实例说明本文结论的有效性.
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| 关 键 词： | 周期系统 p-Laplacian算子 周期解 存在性 Manásevich-Mawhin连续定理 |
Periodic Solutions for a Kind of p-Laplacian Equation with a Deviating Argument |
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| TANG Mei-lan,LIU Xin-ge.Periodic Solutions for a Kind of p-Laplacian Equation with a Deviating Argument[J].Journal of Hunan University(Naturnal Science),2012,39(8):90-92. |
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| Authors: | TANG Mei-lan LIU Xin-ge |
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| Institution: | (School of Mathematics and Statistics,Central South Univ,Changsha,Hunan 410083,China) |
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| Abstract: | The existence of periodic solutions for a kind of p-Laplacian differential equation with two p-Laplacian operators was investigated.Based on Manásevich-Mawhin continuation theorem and some analysis skills,new sufficient conditions for the existence of periodic solutions were given.An example was provided to demonstrate the effectiveness of the proposed result. |
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| Keywords: | periodic systems p-Laplacian operators periodic solutions existence Manásevich-Mawhin continuation theorem |
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