A comparison between two theories for multi-valued semiflows and their asymptotic behaviour
type: Item
instance of: scholarly article
title: A comparison between two theories for multi-valued semiflows and their asymptotic behaviour
zbMATH Open document ID: 1053.47050
DOI: 10.1023/A:1024422619616
published in: Set-Valued Analysis
publication date: 2003-08-25T00:00:00Z
review text: The authors compare the approaches to the treatment of multivalued semiflows (generalized dynamical systems) developed in the works of \textit{J. M. Ball} [J. Nonlin. Sci. 7, 475--502 (1997; Zbl 0903.58020)] and \textit{V. S. Mel'nik} and \textit{J. Valero} [Set-Valued Anal. 6, 83--111 (1998; Zbl 0915.58063)]. Some examples from the field of differential equations without uniqueness and differential inclusions are presented. The relations between the attractor results provided in both theories are discussed.
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34D45
Mathematics Subject Classification ID: 37L05
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 37N35
zbMATH DE Number: 1971093
zbMATH Keywords: generalized dynamical system
zbMATH Keywords: attractor
zbMATH Keywords: generalized and multi-valued semiflows
zbMATH Keywords: partial differential equations without uniqueness
zbMATH Keywords: differential inclusions
author: T. Caraballo
author: Pedro Marín-Rubio
author: James C. Robinson
reviewed by: Valerii V. Obukhovskij
describes a project that uses: ode23
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1971093