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

Abstract

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.

Keywords

• evolution system
• monotone iterative technique
• lower and upper solutions
• kuratowski measure of noncompactness
• 34g20
• 34k30