Local existence for abstract semilinear Volterra integrodifferential equations
type: Item
instance of: scholarly article
title: Local existence for abstract semilinear Volterra integrodifferential equations
zbMATH Open document ID: 0793.45011
author: Kenneth B. Hannsgen
author: Sergiu Aizicovici
published in: Journal of Integral Equations and Applications
publication date: 1994-08-22T00:00:00Z
review text: The authors prove some existence results for mild solutions of a linear Volterra integrodifferential equation perturbed either by a continuous nonlinear hereditary term, or by a lower semicontinuous multivalued function. The main idea of proof is to use some compactness properties of the corresponding resolvent kernel pertaining a direct application of Schauder's fixed point theorem.
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 536840
zbMATH Keywords: local existence
zbMATH Keywords: abstract semilinear Volterra integro-differential equations
zbMATH Keywords: compactness methods
zbMATH Keywords: mild solutions
reviewed by: Ioan I. Vrabie
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/jiea/1181075758
OpenAlex ID: W2057803270
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DOI: 10.1216/JIEA/1181075758
description: scientific article; zbMATH DE number 536840