Existence of mild solutions for semilinear nonlocal Cauchy problems in separable Banach spaces
type: Item
instance of: scholarly article
title: Existence of mild solutions for semilinear nonlocal Cauchy problems in separable Banach spaces
zbMATH Open document ID: 1272.34082
DOI: 10.4171/ZAA/1482
author: Leszek Olszowy
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2013-05-28T00:00:00Z
review text: The author establishes the existence of mild solutions to a non-autonomous semilinear evolution equation with a nonlocal initial condition in a separable Banach space. A key tool in the approach is the Hausdorff measure of noncompactness.
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 6167082
zbMATH Keywords: semilinear equation
zbMATH Keywords: nonlocal initial conditions
zbMATH Keywords: mild solutions
zbMATH Keywords: evolution system
zbMATH Keywords: measure of noncompactness
reviewed by: Sergiu Aizicovici
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/zaa/1482
OpenAlex ID: W1983139066
description: scientific article; zbMATH DE number 6167082