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一类高阶P—Laplacian方程周期解的存在性和唯一性
引用本文:陈仕洲.一类高阶P—Laplacian方程周期解的存在性和唯一性[J].韩山师范学院学报,2012(3):1-6.
作者姓名:陈仕洲
作者单位:韩山师范学院数学与应用数学系,广东潮州521041
摘    要:利用重合度理论,研究一类高阶P—Laplacian方程,获得其周期解存在性和唯一性新的充分条件,推广和改进了已有文献中的相关结论.

关 键 词:p-Laplacian方程  周期解  高阶  重合度理论

Existence and Uniqueness of Periodic Solutions for a Kind of High-order p-Laplacian Equation
CHEN Shi-zhou.Existence and Uniqueness of Periodic Solutions for a Kind of High-order p-Laplacian Equation[J].Journal of Hanshan Teachers College,2012(3):1-6.
Authors:CHEN Shi-zhou
Institution:CHEN Shi-zhou( Department of Mathematics and Applied Mathematics, Hanshan Normal University, Chaozhou 521041,China)
Abstract:By using the continuation theorem of coincidence degree, a kind of high-order p-Laplacian equation is studied. Some new sufficient conditions for the existence and uniqueness of periodic solutions are obtained. The results have extended and improved the related reports in the literatures.
Keywords:p-Laplacian equation  periodic solution  higher order  coincidence degree
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