Differential inclusions and exact penalties

The article considers differential inclusion with a given set-valued mapping and initial point. It is required to find a solution of this differential inclusion that minimizes an integral functional. Some classical results about the maximum principle for differential inclusions are obtained using...

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Main Authors:	Alexander V. Fominyh, Vladimir V. Karelin, Lyudmila N. Polyakova
Format:	Article
Language:	English
Published:	Texas State University 2015-12-01
Series:	Electronic Journal of Differential Equations
Subjects:	Nonsmooth functional differential inclusion support function exact penalty function maximum principle
Online Access:	http://ejde.math.txstate.edu/Volumes/2015/309/abstr.html

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spelling	doaj-a1237a6a97b84b61b9bab0063a408fa02020-11-24T21:59:20ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-12-012015309,113Differential inclusions and exact penaltiesAlexander V. Fominyh0Vladimir V. Karelin1Lyudmila N. Polyakova2 Saint Petersburg State Univ., Russia Saint Petersburg State Univ., Russia Saint Petersburg State Univ., Russia The article considers differential inclusion with a given set-valued mapping and initial point. It is required to find a solution of this differential inclusion that minimizes an integral functional. Some classical results about the maximum principle for differential inclusions are obtained using the support and exact penalty functions. This is done for differentiable and for non-differentiable set-valued mappings in phase variables.http://ejde.math.txstate.edu/Volumes/2015/309/abstr.htmlNonsmooth functionaldifferential inclusionsupport functionexact penalty functionmaximum principle
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Alexander V. Fominyh Vladimir V. Karelin Lyudmila N. Polyakova
spellingShingle	Alexander V. Fominyh Vladimir V. Karelin Lyudmila N. Polyakova Differential inclusions and exact penalties Electronic Journal of Differential Equations Nonsmooth functional differential inclusion support function exact penalty function maximum principle
author_facet	Alexander V. Fominyh Vladimir V. Karelin Lyudmila N. Polyakova
author_sort	Alexander V. Fominyh
title	Differential inclusions and exact penalties
title_short	Differential inclusions and exact penalties
title_full	Differential inclusions and exact penalties
title_fullStr	Differential inclusions and exact penalties
title_full_unstemmed	Differential inclusions and exact penalties
title_sort	differential inclusions and exact penalties
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2015-12-01
description	The article considers differential inclusion with a given set-valued mapping and initial point. It is required to find a solution of this differential inclusion that minimizes an integral functional. Some classical results about the maximum principle for differential inclusions are obtained using the support and exact penalty functions. This is done for differentiable and for non-differentiable set-valued mappings in phase variables.
topic	Nonsmooth functional differential inclusion support function exact penalty function maximum principle
url	http://ejde.math.txstate.edu/Volumes/2015/309/abstr.html
work_keys_str_mv	AT alexandervfominyh differentialinclusionsandexactpenalties AT vladimirvkarelin differentialinclusionsandexactpenalties AT lyudmilanpolyakova differentialinclusionsandexactpenalties
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Differential inclusions and exact penalties

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