一类含有时滞的分数阶Laplacian方程共振边值问题解的存在性  

The existence of the solution for a class of the fractional differential equation with a p-Laplace operator and delay at resonance

作　　者：郑春华[1] 马睿 ZHENG Chun-hua;MA Rui(Department of Basic Courses,Shaanxi Polytechnic Institute,Xianyang 712000,China)

机构地区：[1]陕西工业职业技术学院基础部,陕西咸阳712000

出　　处：《云南民族大学学报（自然科学版）》2019年第2期144-150,共7页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：国家自然科学基金(11271364);陕西工业职业技术学院科研项目(zk17-34)

摘　　要：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.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.

关 键 词：分数阶微分方程 时滞 P-LAPLACE算子 共振 两点边值问题 连续性定理 

分 类 号：O175.8[理学—数学]