Existence of the mild solution for impulsive semilinear differential equation (Q457919)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Existence of the mild solution for impulsive semilinear differential equation |
scientific article; zbMATH DE number 6349589
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of the mild solution for impulsive semilinear differential equation |
scientific article; zbMATH DE number 6349589 |
Statements
Existence of the mild solution for impulsive semilinear differential equation (English)
0 references
30 September 2014
0 references
Summary: We study the existence of solutions of impulsive semilinear differential equation in a Banach space \(X\) in which impulsive condition is not instantaneous. We establish the existence of a mild solution by using the Hausdorff measure of noncompactness and a fixed point theorem for the convex power condensing operator.
0 references
0 references
0 references
0 references
0 references
0 references
0 references
