Higher order viability problem in Banach spaces

We show the existence of viable solutions to the differential inclusion $$displaylines{ x^{(k)}(t) in F(t,x(t))cr x(0)=x_{0},quad x^{(i)}(0)=y^i_{0},quad i=1,dots,k-1,cr x(t) in Kquadhbox{on } [0,T], }$$ where $k geq 1$, K is a closed subset of a separable Banach space and F(t,x) is an integr...

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Bibliographic Details
Main Authors:	Myelkebir Aitalioubrahim, Said Sajid
Format:	Article
Language:	English
Published:	Texas State University 2012-02-01
Series:	Electronic Journal of Differential Equations
Subjects:	Differential inclusion measurability selection viability
Online Access:	http://ejde.math.txstate.edu/Volumes/2012/30/abstr.html

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spelling	doaj-bb3814abf4fe4621be1bf97226445d722020-11-24T22:04:04ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-02-01201230,113Higher order viability problem in Banach spacesMyelkebir AitalioubrahimSaid SajidWe show the existence of viable solutions to the differential inclusion $$displaylines{ x^{(k)}(t) in F(t,x(t))cr x(0)=x_{0},quad x^{(i)}(0)=y^i_{0},quad i=1,dots,k-1,cr x(t) in Kquadhbox{on } [0,T], }$$ where $k geq 1$, K is a closed subset of a separable Banach space and F(t,x) is an integrable bounded multifunction with closed values, (strongly) measurable in t and Lipschitz continuous in x. http://ejde.math.txstate.edu/Volumes/2012/30/abstr.htmlDifferential inclusionmeasurabilityselectionviability
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Myelkebir Aitalioubrahim Said Sajid
spellingShingle	Myelkebir Aitalioubrahim Said Sajid Higher order viability problem in Banach spaces Electronic Journal of Differential Equations Differential inclusion measurability selection viability
author_facet	Myelkebir Aitalioubrahim Said Sajid
author_sort	Myelkebir Aitalioubrahim
title	Higher order viability problem in Banach spaces
title_short	Higher order viability problem in Banach spaces
title_full	Higher order viability problem in Banach spaces
title_fullStr	Higher order viability problem in Banach spaces
title_full_unstemmed	Higher order viability problem in Banach spaces
title_sort	higher order viability problem in banach spaces
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2012-02-01
description	We show the existence of viable solutions to the differential inclusion $$displaylines{ x^{(k)}(t) in F(t,x(t))cr x(0)=x_{0},quad x^{(i)}(0)=y^i_{0},quad i=1,dots,k-1,cr x(t) in Kquadhbox{on } [0,T], }$$ where $k geq 1$, K is a closed subset of a separable Banach space and F(t,x) is an integrable bounded multifunction with closed values, (strongly) measurable in t and Lipschitz continuous in x.
topic	Differential inclusion measurability selection viability
url	http://ejde.math.txstate.edu/Volumes/2012/30/abstr.html
work_keys_str_mv	AT myelkebiraitalioubrahim higherorderviabilityprobleminbanachspaces AT saidsajid higherorderviabilityprobleminbanachspaces
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Higher order viability problem in Banach spaces

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