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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Texas State University
2015-12-01
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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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