Existence results for first and second order semilinear impulsive differential inclusions
type: Item
instance of: scholarly article
title: Existence results for first and second order semilinear impulsive differential inclusions
zbMATH Open document ID: 1097.34046
DOI: 10.12775/TMNA.2005.028
author: Sotiris K. Ntouyas
author: Donal O'Regan
author: Lech Górniewicz
published in: Topological Methods in Nonlinear Analysis
publication date: 2006-01-26T00:00:00Z
review text: The authors prove several results on existence of solutions to impulsive semilinear differential inclusions in a real separable Banach space. In each case, the existence of a maximal solution to an associated problem is assumed, and the result is obtained by using a fixed-point approach based on Leray-Schauder's alternative theorem. First- and second-order problems are studied, including functional-differential inclusions. Both upper- and lower-semicontinuous cases are considered. The authors note that several of these theorems are new even for the non-impulsive case.
reviewed by: Daniel C. Biles
Mathematics Subject Classification ID: 34G25
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 34K45
zbMATH DE Number: 5001926
zbMATH Keywords: impulsive differential inclusions
zbMATH Keywords: semilinear differential inclusions
zbMATH Keywords: functional-differential inclusions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5001926