一类具有分布时滞的p-Laplacian中立型泛函微分方程周期解的存在性

Periodic Solutions for a Class of p-Laplacian Neutral Functional Differential Equation with Distributed

利用Mawhin延拓定理和泛函分析的知识,获得了一类具有分布时滞的p-Laplacian中立型泛函微分方程(φp(x(t)-cx(t-σ))')'+f(t,x'(t))+β(t)g(∫0-rx(t+s)dm(s))=e(t)周期解存在性新的充分条件,推广和改进了已有文献的相关结论,提出β(t)可变号.

Mawhin coincidence degree theory and widely function-analysis＇s knowledge were used to obtain new sufficient condition of periodic solutions for a class of p-Laplacian neutral functional differential equation with distributed as follows： （φp（x（t）-cx（t-σ））′）′＋f（t,x′（t））＋β（t）g∫0-rx（t＋s）dm（s）=e（t） The results improved the related reports in the literatures,and the coefficient β（t） was proposed.