| 一类具多偏差变元的p-Laplacian方程周期解的存在性 |
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| 引用本文： | 郑春华,刘文斌.一类具多偏差变元的p-Laplacian方程周期解的存在性[J].纯粹数学与应用数学,2010,26(2):283-291. |
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| 作者姓名： | 郑春华 刘文斌 |
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| 作者单位： | 陕西工业职业技术学院基础部,陕西,咸阳,712000;中国矿业大学数学系,江苏,徐州,221116 |
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| 摘 要： | 研究了一类具多偏差变元的p-Laplacian方程,为了得到该方程周期解的先验估计,运用分析技巧建立了一些新的不等式,进而利用Mawhin连续定理得到了这类方程周期解的存在性,得到了一些新的结果,推广和改进了已有结果.
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| 关 键 词： | 周期解 连续定理 偏差变元 Rayleigh方程 |
Existence of periodic solutions for a kind of p-Laplacian equation with multiple deviating arguments |
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| ZHENG Chun-hua ,LIU Wen-bin.Existence of periodic solutions for a kind of p-Laplacian equation with multiple deviating arguments[J].Pure and Applied Mathematics,2010,26(2):283-291. |
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| Authors: | ZHENG Chun-hua LIU Wen-bin |
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| Institution: | ZHENG Chun-hua 1,LIU Wen-bin 2(1.Basic Department,Shaanxi Industry Polytechnic Institute,Xianyang 712000,China,2.Department of Mathematics,China University of Mining , Technology,Xuzhou 221116,China) |
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| Abstract: | The existence of periodic solutions of a kind p-Laplacian equation with multiple deviating arguments are studied.By using analysis techniques,some new inequalities are constructed to obtain the priori bound of periodic solution.The existence of periodic solutions are proved by Mawhin's continuation theorem.Some new results are obtained,and some known results are generalized. |
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| Keywords: | periodic solution continuation theorem deviating argument Rayleigh equation |
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