| 具P-Laplacian算子型周期边值问题解的存在性 |
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| 引用本文： | 刘斌,庾建设.具P-Laplacian算子型周期边值问题解的存在性[J].系统科学与数学,2003,23(1):076-085. |
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| 作者姓名： | 刘斌 庾建设 |
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| 作者单位： | 1. 华中科技大学数学系,武汉,430074;武汉大学数学与统计学院,武汉,430072
2. 湖南大学数学与计量经济学院,长沙,410082 |
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| 基金项目： | 中国博士后科学基金(No.200114)资助课题 |
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| 摘 要： | 本文利用拓扑度理论和一些分析技巧讨论了具p—Laplacian算子型周期边值问题(φp(χ’))’+d/dt gradF(χ)+gradG(χ)=e(t),χ(0)=χ(T),χ’(0)=χ’(T)解的存在性,在对阻尼项d/dtgradF(χ)没有任何限制的前提下,给出了解存在的充分条件.
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| 关 键 词： | 周期边值问题 拓扑度 存在性 充分条件 |
| 修稿时间： | 2000年4月6日 |
ON THE EXISTENCE OF SOLUTION FOR THE PERIODIC BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN OPERATOR |
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| Liu Bin.ON THE EXISTENCE OF SOLUTION FOR THE PERIODIC BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN OPERATOR[J].Journal of Systems Science and Mathematical Sciences,2003,23(1):076-085. |
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| Authors: | Liu Bin |
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| Institution: | (1)Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074,P.R.China College of Mathematics and Statistic, Wuhan University, Wuhan 430072,P.R.CHina;(2)College of Mathematics, and Economic, Hunan University, Changsha 410082,P.R.China |
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| Abstract: | In this paper, by using the topologicaf degree theory and some analysis skill, the existence of solution for the periodic boundary value problems with p-Laplacian operator is studed. Sufficient conditions to guarantee the existence of solution for the equation are obtained under no restriction being imposed on the damping forces d/dtguadF(x) |
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| Keywords: | Periodic boundary value toplogical degree existence sufficient conditions |
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