具偏差变元Rayleigh型p-Laplacian中立型微分方程周期解的存在性

Existence of Periodic Solution for Rayleigh Type p-Laplacian Neutral Function Differential Equation with Deviation Arguments

利用Mawhin连续定理和一些分析方法,证明了p-Laplacian中立型微分方程(φp(x(t)-cx(t-σ))')'=f(t,x'(t))+g(t,x(t-τ(t)))-e(t)周期解的存在性.

Using Mawhin＇s continuation theory and some analysis methods, the existence of periodic solutions of the p-Laplacian neutral function differential equation, （φp（x（t）-cx（t-σ））＇）＇=f（t,x＇（t））＋g（t,x（t-τ（t）））-e（t）, is proved.