Existence of mild solutions for the impulsive semilinear nonlocal problem with random effects

Advances in Difference Equations

Shuorui Zhang¹  Jitao Sun¹ 

[1] Department of Mathematics, Tongji University, Shanghai, China

关键词: random fixed point;    existence;    nonlocal conditions;    measure of noncompactness;    impulsive differential equations;   

DOI  :  10.1186/1687-1847-2014-194

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the existence of impulsive semilinear nonlocal problems with random effects. Random perturbations are taken into consideration in abstract spaces. By applying the measure of noncompactness and a random fixed point theorem with stochastic domain, we get some existence results which improve and generalize many known results. Some weaker assumptions are established. Besides, we do not claim the semigroup to be compact.

【 授权许可】

CC BY