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.
作者
仝荣
胡卫敏
TONG Rong;HU Weimin(School of Mathematics and Statistics,Yili Normal University,Yining,Xinjiang 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)
关键词
分数阶微分包含
脉冲
边值问题
不动点定理
fra ctional differential inclusion
impulse
boundary value problem
fixed point theorem
