Topological structure of solution sets of differential inclusions: the constrained case
type: Item
instance of: scholarly article
title: Topological structure of solution sets of differential inclusions: the constrained case
zbMATH Open document ID: 1021.49019
DOI: 10.1155/S1085337503204115
published in: Abstract and Applied Analysis
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/50333
review text: The paper presents important results dealing not only with the existence of solutions, but also studying the topological structure of the solution set of semilinear differential inclusions on closed subsets of Banach spaces. The problem is closely related to the invariance or viability property of a trajectory with respect to a prescribed set. New results are given in the case of regular and strictly regular sets. Applications concern constrained periodic dynamics and equilibria of systems governed by differential inclusions.
Mathematics Subject Classification ID: 49K24
Mathematics Subject Classification ID: 34G25
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 1929985
zbMATH Keywords: differential inclusion
zbMATH Keywords: solution set
zbMATH Keywords: invariance
zbMATH Keywords: tangent cone
zbMATH Keywords: viability
zbMATH Keywords: constrained periodic dynamics
zbMATH Keywords: equilibria
Wikidata QID: Q96744848
author: Wojciech Kryszewski
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
OpenAlex ID: W2074900993
description: scientific article; zbMATH DE number 1929985