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.
出处
《纯粹数学与应用数学》
CSCD
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)
