一类具多偏差变元的p-Laplacian方程周期解的存在性  

Existence of periodic solutions for a kind of p-Laplacian equation with multiple deviating arguments

作　　者：郑春华[1] 刘文斌[2] 

机构地区：[1]陕西工业职业技术学院基础部,陕西咸阳712000 [2]中国矿业大学数学系,江苏徐州221116

出　　处：《纯粹数学与应用数学》2010年第2期283-291,共9页Pure and Applied Mathematics

基　　金：国家自然科学基金(10771212)

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.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.

关 键 词：周期解 连续定理 偏差变元 RAYLEIGH方程 

分 类 号：O175.8[理学—数学]