一类分数阶脉冲微分包含四点边值问题——解的存在性  

The Existence of Solutions for a Class of Fractional-orderImpulsive Differential Inclusion with the Problem of Four-point Boundary Value

作　　者：仝荣 胡卫敏[1] TONG Rong;HU Weimin(School of Mathematics and Statistics,Yili Normal University,Yining,Xinjiang 835000)

机构地区：[1]伊犁师范学院数学与统计分院,新疆伊宁835000

出　　处：《绵阳师范学院学报》2019年第5期15-24,共10页Journal of Mianyang Teachers＇ College

基　　金：新疆维吾尔自治区高校科研计划重点项目(XJEDU20141040)

摘　　要：本文利用Bohenblust-Karlin不动点定理结合上下解方法,研究了一类分数阶脉冲微分包含四点边值问题解的存在性,得到了该边值问题至少存在一个解的充分条件.This paper investigatesthe existence of solutions for a class of fractional-order impulsive differential inclusion with four-point boundary value problem.By using the upper and lower solutions method,the sufficient conditions for the existence of the solution are given by using the Bohenblust-Karlin fixed point theorem.

关 键 词：分数阶微分包含 脉冲 边值问题 不动点定理 

分 类 号：O175.14[理学—数学]