On the dynamics generated by a class of functional evolution inclusions
type: Item
instance of: scholarly article
title: On the dynamics generated by a class of functional evolution inclusions
zbMATH Open document ID: 1280.34065
published in: Journal of Mathematical Analysis and Applications
publication date: 2013-04-22T00:00:00Z
review text: This article concerns a class of functional evolution inclusions of the form \[ u'(t)+Au(t)\ni f(t),~~t\in [0,T], \] \[ f(t)\in F(u(t),u_t), \] \[ u_t(s)=u(t+s),\,\,u(s)=\phi (s), \,\,s\in [-h,0], \] where \(A\) is an \(m\)-accretive operator on a Banach space \(X\). The goal of this paper is to obtain a global attractor for the above system when the semigroup generated by \(A\) is equicontinuous only, without a compactness assumption on \(A\). The approach is based on the measure of noncompactness.
reviewed by: Shaochun Ji
Mathematics Subject Classification ID: 34K09
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 6156122
zbMATH Keywords: differential inclusion
zbMATH Keywords: accretive operator
zbMATH Keywords: global attractor
zbMATH Keywords: measure of noncompactness
author: Dinh-Ke Tran
MaRDI profile type: Publication
full work available at URL: j.jmaa.2013.01.025
OpenAlex ID: W2051584154
DOI: 10.1016/J.JMAA.2013.01.025
description: scientific article; zbMATH DE number 6156122