Existence theorem for weak solutions to random differential inclusions in Banach spaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 0995.34051
author: Congxin Wu
author: Jianrong Wu
author: Xiaoping Xue
publication date: 2002-01-29T00:00:00Z
Mathematics Subject Classification ID: 34G25
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 60H99
zbMATH DE Number: 1697463
zbMATH Keywords: weak solutions
zbMATH Keywords: differential inclusions
zbMATH Keywords: random differential inclusions
zbMATH Keywords: Banach spaces
MaRDI profile type: Publication
title: Existence theorem for weak solutions to random differential inclusions in Banach spaces
published in: Advances in Mathematics (Beijing)
review text: The authors consider a Cauchy problem for differential inclusions of the type \(x'(t) \in F(t,x(t))\), a.e. on \([a,b]\), \(x(a)=x_0\), where \(F\) is a set-valued map with values in a real reflexive Banach space. On this problem the authors give an existence result for weak solutions when \(F\) is controlled by a weakly integrable bounded set-valued map. In the second part, a random differential inclusion is examined, and the existence of weak solutions is proved for it.
reviewed by: Francesca Papalini
description: scientific article; zbMATH DE number 1697463