Lower and upper solutions for delay evolution equations with nonlocal and impulsive conditions

[摘要] In this article, we apply the method of lower and upper solutions for studying delay evolution equations with nonlocal and impulsive conditions in infinite dimensional Banach spaces. Under wide monotone conditions and noncompactness measure condition of nonlinear term, we obtain the existence of extremal solutions and a unique solution between lower and upper solutions. A concrete application to partial differential equations is considered.

[学科分类] 数学（综合）

[关键词] Evolution equations;delay;nonlocal and impulsive conditions;lower and upper solutions;measure of noncompactness