Viability theory and fuzzy differential equations
type: Item
instance of: scholarly article
title: Viability theory and fuzzy differential equations
zbMATH Open document ID: 1074.34009
author: Ravi P. Agarwal
author: Donal O'Regan
author: V. Lakshmikantham
published in: Fuzzy Sets and Systems
publication date: 2005-04-21T00:00:00Z
review text: The authors present a new viability theory for differential inclusions and establish new existence results for fuzzy differential equations. In the literature, viability theory is presented for first-order differential inclusions where the nonlinearity is bounded. But this paper represents a general theory and removes the boundedness assumption by assuming the existence of a maximal solution to an approximate set of differential equations.
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34G25
zbMATH DE Number: 2160234
zbMATH Keywords: viability theory
zbMATH Keywords: fuzzy differential inclusion
zbMATH Keywords: stacking theorem
MaRDI profile type: Publication
full work available at URL: j.fss.2004.08.008
OpenAlex ID: W2017691411
cites work: A stacking theorem approach for fuzzy differential equations.
cites work: Infinite dimensional analysis. A hitchhiker's guide
cites work: Q3324260
cites work: Q3999065
cites work: Q4000472
cites work: Regularity of solution sets for differential inclusions quasi-concave in a parameter
cites work: Q4860445
cites work: Q4860447
cites work: An Approach to Modelling and Simulation of Uncertain Dynamical Systems
cites work: Q5569338
cites work: Q4650359
cites work: Q4091811
cites work: Integral inclusions of upper semi-continuous or lower semi-continuous type
cites work: Multivalued differential equations in Banach spaces
cites work: Q4693253
DOI: 10.1016/J.FSS.2004.08.008
description: scientific article; zbMATH DE number 2160234