一类含有 p-Laplace 算子的分数阶时滞微分方程非局部共振边值问题解的存在性

摘要

The existence of solutions for a multi‐point boundary value at resonance to a class of fractional differential equation with p‐Laplace operator and delay has been studied .Some new results have been ob‐tained on existence of solutions for this boundary value problem by means of Mawhin's continuation theo‐rem and some known work are generalized and improved .%研究了一类含有 p‐Laplace 算子的时滞分数阶微分方程非局部共振边值问题，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，推广了一些已有的工作。