一类分数阶时滞微分方程共振边值问题解的存在性  

Existence of Solutions on the Boundary Value Problem at Resonance for a Class of Fractional Differential Equation with Delay

作　　者：高汝林[1] 郑春华[1] GAO Rulin;ZHENG Chunhua(Basic Department,Shaanxi Polytechnic Institute,Xianyang 712000,Shaanxi 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：《河南科学》2018年第8期1165-1169,共5页Henan Science

基　　金：国家自然科学基金(11271364);陕西工业职业技术学院一般科研项目(ZK17-34)

摘　　要：研究了一类具有时滞的分数阶微分方程两点共振边值问题,利用Mawhin连续性定理证明了该边值问题解存在的性,得到了一些新的结果,推广了一些已有的工作.The existence of solutions for a class of fractional differential equation with two-point boundary value problem at resonance and delay is studied.Some new results are obtained on the existence of solutions for this boundary value problem by using Mawhin’s continuation theorem.Some known work are generalized.

关 键 词：分数阶微分方程 时滞 共振 两点边值问题 连续性定理 

分 类 号：O175.8[理学—数学]