%A Yan Luo,Wenzhe Xie %T Existence of Solutions for Impulsive Differential Inclusions with Upper and Lower Solutions in the Reverse Order %0 Journal Article %D 2019 %J Acta mathematica scientia,Series A %R %P 1055-1063 %V 39 %N 5 %U {http://121.43.60.238/sxwlxbA/CN/abstract/article_15950.shtml} %8 2019-10-26 %X

In this paper, we discuss the existence of solutions for nonlinear boundary problem of first-order impulsive differential inclusions. In the presence of a lower solution α and an upper solution β in the reverse order βα, we establish the existence results by using Martelli's fixed point theorem with upper and lower solutions method. We find that if we give different definitions of lower and upper solutions in the reverse order, we can also get the existence results.