一类含有时滞的分数阶Laplacian方程共振边值问题解的存在性

摘要

This research studies the existence of the solution for the two-point boundary value problem at resonance and delay in a class of the fractional differential equation with a p-Laplace operator, and obtains some new results for the existence of the solution for this boundary value problem by using Mawhin's continuation theorem, and some previous researches are generalized.%研究了一类具有时滞的分数阶Laplacian方程两点共振边值问题, 利用Mawhin连续性定理获得了该边值问题解存在的充分条件, 得到了一些新的结果.