Monotone iterative technique for non-autonomous semilinear differential equations with nonlocal condition

[摘要] The objective of this article is to discuss the existence and uniqueness of mild solutions for a class of non-autonomous semilinear differential equations with nonlocal condition via monotone iterative method with upper and lower solutions in an ordered complete norm space X, using evolution system and measure of noncompactness.

[学科分类] 外科医学

[关键词] evolution system;monotone iterative technique;lower and upper solutions;Kuratowski measure of noncompactness