分数阶微分方程m点边值共振问题解的存在性  

Existence of solution to m-point boundary value problem for fractional differential equations at resonance

作　　者：桂旺生[1] 刘利斌[1] 

机构地区：[1]池州学院数学与计算机科学系,安徽池州247000

出　　处：《纯粹数学与应用数学》2015年第1期1-11,共11页Pure and Applied Mathematics

基　　金：国家自然科学基金(11301044);池州学院自然科研项目(2013ZRZ004)

摘　　要：利用Mawhin延拓定理考察了一类分数阶微分方程m点边值共振问题解的存在性.得到了解的存在性的一个充分性条件,并且举出实例用以说明主要结果.In this paper, we consider the existence of solution for m-point boundary value problem of a class of fractional differential equations at resonance by applying the coutinuation theorem of coincidence degree developed by Mawhin, and we obtain a sufficient condition for the existence of solution. Examples are given to illustrate the main results of this paper.

关 键 词：分数阶微分方程 Mawhin延拓定理 共振 

分 类 号：O175.8[理学—数学]