Existence of the mild solution for impulsive semilinear differential equation
type: Item
instance of: scholarly article
title: Existence of the mild solution for impulsive semilinear differential equation
zbMATH Open document ID: 1302.34096
DOI: 10.1155/2014/640931
author: Alka Chadha
author: Dwijendra N. Pandey
published in: International Journal of Partial Differential Equations
publication date: 2014-09-30T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 47H08
zbMATH DE Number: 6349589
Wikidata QID: Q59050441
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/640931
OpenAlex ID: W2040832735
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description: scientific article; zbMATH DE number 6349589