一类具有多个偏差变元的p-Laplacian中立型泛函微分方程的周期解

Periodic Solutions for a Kind of p-Laplacian Type Neutral Functional Differential Equation with Multiple Deviating Arguments

利用重合度理论中的延拓定理和不等式分析技巧,获得了一类具有多个偏差变元的p-Laplacian中立型泛函微分方程(φp(x(t)-cx(t-r))′)′+f(x(t-τ(t)))x′(t-σ(t))+β(t)g(x(t-γ(t)))=e(t)的周期解存在性的充分条件,推广和改进了已有文献的相关结果.

By using a continuation theorem based on coincidence degree theory and inequality technique, some new sufficient conditions of periodic solutions are established for p-Laplacian type neutral differential equation with multiple deviating arguments as follows （φp（x（t）-cx（t-r））＇）＇-f（x（t-r（t）））x＇（t=σ（t））＋β（t）g（x（t-γ（t）））=e（t）The results have extended and improved the related reports in the literatures