Standard

DIFFERENTIAL INCLUSIONS AND EXACT PENALTIES. / Fominyh, A.V.; Karelin, V.V.; Polyakova, L.N.

In: Electronic Journal of Differential Equations, Vol. 2015, No. 309, 309, 21.12.2015.

Research output: Contribution to journal › Article › peer-review

Harvard

Fominyh, AV, Karelin, VV & Polyakova, LN 2015, 'DIFFERENTIAL INCLUSIONS AND EXACT PENALTIES', Electronic Journal of Differential Equations, vol. 2015, no. 309, 309. <http://ejde.math.txstate.edu/>

APA

Fominyh, A. V., Karelin, V. V., & Polyakova, L. N. (2015). DIFFERENTIAL INCLUSIONS AND EXACT PENALTIES. Electronic Journal of Differential Equations, 2015(309), [309]. http://ejde.math.txstate.edu/

Vancouver

Fominyh AV, Karelin VV, Polyakova LN. DIFFERENTIAL INCLUSIONS AND EXACT PENALTIES. Electronic Journal of Differential Equations. 2015 Dec 21;2015(309). 309.

Author

Fominyh, A.V. ; Karelin, V.V. ; Polyakova, L.N. / DIFFERENTIAL INCLUSIONS AND EXACT PENALTIES. In: Electronic Journal of Differential Equations. 2015 ; Vol. 2015, No. 309.

BibTeX

@article{e457c3144fbd411f926ad8b93866ae2e,
title = "DIFFERENTIAL INCLUSIONS AND EXACT PENALTIES",
abstract = "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.",
keywords = "Nonsmooth functional, differential inclusion, support function, exact penalty function, maximum principle, OPTIMIZATION",
author = "A.V. Fominyh and V.V. Karelin and L.N. Polyakova",
year = "2015",
month = dec,
day = "21",
language = "Английский",
volume = "2015",
journal = "Electronic Journal of Differential Equations",
issn = "1072-6691",
publisher = "Texas State University - San Marcos",
number = "309",

}

RIS

TY - JOUR

T1 - DIFFERENTIAL INCLUSIONS AND EXACT PENALTIES

AU - Fominyh, A.V.

AU - Karelin, V.V.

AU - Polyakova, L.N.

PY - 2015/12/21

Y1 - 2015/12/21

N2 - 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.

AB - 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.

KW - Nonsmooth functional

KW - differential inclusion

KW - support function

KW - exact penalty function

KW - maximum principle

KW - OPTIMIZATION

M3 - статья

VL - 2015

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

SN - 1072-6691

IS - 309

M1 - 309

ER -

ID: 3983118