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Existence of solutions for delay evolution equations with nonlocal conditions

100%

Zhang X. , Li Y.

nr 1

616-627

In this paper, we are devoted to study the existence of mild solutions for delay evolution equations with nonlocal conditions. By using tools involving the Kuratowski measure of noncompactness and fixed point theory, we establish some existence results of mild solutions without the assumption of compactness on the associated semigroup. Our results improve and generalize some related conclusions on this issue. Moreover, we present an example to illustrate the application of the main results.

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

84%

Meraj A. , Pandey D. N.

Demonstratio Mathematica

2019

tom Vol. 52, nr 1

29--39

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.