On the dynamics of abstract retarded evolution equations
type: Item
instance of: scholarly article
title: On the dynamics of abstract retarded evolution equations
zbMATH Open document ID: 1293.35157
DOI: 10.1155/2013/359310
author: Jinying Wei
author: Jintao Wang
author: Desheng Li
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: This paper is concerned with the dynamics of the following abstract retarded evolution equation: \((d/dt)u(t)+Au(t)=F(u(t-r_1),\cdots,u(t-r_n))+g(t)\) in a Hilbert space \(H\), where \(A:D(A)\subset H\to H\) is a self-adjoint positive-definite operator with compact resolvent and \(F:D(A^\alpha)^n\to H(\alpha\in[0,1/2])\) is a locally Lipschitz continuous mapping. The dissipativity and pullback attractors are investigated, and the existence of locally almost periodic solutions is established.
Mathematics Subject Classification ID: 35K90
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B15
zbMATH DE Number: 6306690
zbMATH Keywords: pullback attractors
zbMATH Keywords: locally almost periodic solutions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/359310
OpenAlex ID: W2157618377
Wikidata QID: Q58916036
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description: scientific article; zbMATH DE number 6306690