半无穷区间上具有共振的序列分数阶微分方程积分边值问题的可解性  

Solvability of Sequential Fractional Differential Equations with Integral Boundary Value Problem at Resonance on the Half-Line

作　　者：周志恒 韦煜明 ZHOU Zhiheng;WEI Yuming(School of Mathematics and Statistics, Guangxi Normal University, Guilin 541004,China)

机构地区：[1]广西师范大学数学与统计学院,广西桂林541004

出　　处：《应用数学》2018年第3期572-582,共11页Mathematica Applicata

基　　金：国家自然科学基金(11361010);广西自然科学基金(2014GXNSFAA118002)

摘　　要：本文研究半无穷区间上具有共振的分数阶微分方程积分边值问题.通过构造适当的Banach空间及算子,利用迭合度理论和Mawhin连续性定理获得上述边值问题解的存在性结论,推广了前人的结果.In this paper, the existence of solutions for a fractional differential equations with integral boundary conditions at resonance on the half-line is investigated. Relying on constructing the suitable Banach space and appropriate projectors, by using the coincidence degree theory and Mawhin＇s continuation theorem, we get some existence results about the boundary value problem, improve and promote the studies people did.

关 键 词：迭合度 共振 积分边值问题 半无穷区间 

分 类 号：O175.8[理学—数学]