一类分数阶微分方程共振边值问题解的存在性  

Solvability for a Class of Fractional m-Point Boundary Value Problem at Resonance

作　　者：吴彦强[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《徐州工程学院学报（自然科学版）》2016年第2期40-45,共6页Journal of Xuzhou Institute of Technology(Natural Sciences Edition)

基　　金：国家自然科学基金项目(11271364)

摘　　要：利用Mawhin延拓定理在核空间为二维的情况下,研究了一类分数阶微分方程共振边值问题解的存在性.在较弱的条件下得到了解的存在性结果.This paper studied the multi-point boundary value problem for fractional differential equa- tion in the case of dimKer L=2. By using the coincidence degree theory due to Mawhin, a new result on the existence of solutions was obtained under the weaker condition.

关 键 词：分数阶微分方程 多点边值问题 叠合度 共振 

分 类 号：O175.1[理学—数学]