Weak and strong solutions for differential equations in Banach spaces
type: Item
instance of: scholarly article
title: Weak and strong solutions for differential equations in Banach spaces
zbMATH Open document ID: 1058.34077
DOI: 10.1016/S0960-0779(02)00643-4
published in: Chaos, Solitons and Fractals
publication date: 2004-07-01T00:00:00Z
review text: This paper is devoted to the existence of weak and strong solutions of the Cauchy problem \[ \dot x(t)= f(t,x(t)), \qquad x(0)= x_0, \] where \(f: [0,T]\times E\to E\) and \(E\) is a Banach space. To this end, the author uses a measure of weak (strong) noncompactness.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 2077420
zbMATH Keywords: weak and strong solutions
zbMATH Keywords: measure of noncompactness
author: Adel Mahmoud Gomaa
MaRDI profile type: Publication
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full work available at URL: s0960-0779(02)00643-4
OpenAlex ID: W2071447948
description: scientific article; zbMATH DE number 2077420