一类具有多个变时滞的p-Lapcaian中立型泛函微分方程的反周期解的存在性

Anti-periodic Solutions for a p-Laplacian Neutral Functional Differential Equation with Multiple Variable Parameters

主要利用Leray-Schauder不动点定理和一些新的分析技巧,讨论了这类具有多个变时滞和变参数的p-Lapcaian中立型泛函微分方程:(φp(x'(t)-sun from i=1 to n(ci(t)x'(t-ri)))')=f(x'(t))+sun from j=1 to n(βj(t)g(x(t-τj(t)))+e(t))反周期解的存在性,得到了方程反周期解存在性的结论.这与已有的文献的结果不同,所考虑的方程更一般,从而所得的结果就更有广泛的意义.

By means of Leray-Schauder fixed point theorem and some new analytical skills,a kind of p-Laplacian neutral functional differential equation with multiple variable parameters as follows：（φp（x＇（t）-sun from i=1 to n（ci（t）x＇（t-ri）））＇）=f（x＇（t））＋sun from j=1 to n（βj（t）g（x（t-τj（t）））＋e（t）） was studied.A new result on the existence of anti-periodic solution was obtained,An example was given to illustrate the main results in this paper.The results are differential from the previous literatures,the equation considered is more general,which makes the results much more profound meaning.