具偏差变元p-Laplace微分方程周期解的存在性

Existence of Periodic Solutions for p-Laplacian Differential Equation with Deviating Arguments

利用Mawhin延拓定理,结合分析的方法和不等式技巧研究了一类具偏差变元的三阶Liénard型p-Laplace微分方程周期解的存在性。在多个假设条件下,验证了周期解的先验界限,获得了该类方程周期解存在的一个充分条件。

By using Mawhin＇ s continuation theorem, and combining the analysis and the inequality technique, the existence of periodic solutions for a class of third-order Lienard type p-Laplacian differential equation with a deviating argument is considered in this paper. Under various assumptions,the priori bounds of periodic solutions is validated, and one sufficient condition about the existence of periodic solutions is obtained.