Sufficient conditions for optimality for differential inclusions of parabolic type and duality

E. N. Mahmudov

doi:10.1007/s10898-007-9164-y

Sufficient conditions for optimality for differential inclusions of parabolic type and duality

E. N. Mahmudov

Istanbul University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

26 Atıf (Scopus)

Özet

Sufficient conditions for optimality are derived for partial differential inclusions of parabolic type on the basis of the apparatus of locally conjugate mapping, and duality theorems are proved. The duality theorems proved allow one to conclude that a sufficient condition for an extremum is an extremal relation for the direct and dual problems.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	31-42
Sayfa sayısı	12
Dergi	Journal of Global Optimization
Hacim	41
Basın numarası	1
DOI'lar	https://doi.org/10.1007/s10898-007-9164-y
Yayın durumu	Yayınlandı - May 2008
Harici olarak yayınlandı	Evet

Belgeye Erişim

10.1007/s10898-007-9164-y

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Sufficient conditions for optimality for differential inclusions of parabolic type and duality",

abstract = "Sufficient conditions for optimality are derived for partial differential inclusions of parabolic type on the basis of the apparatus of locally conjugate mapping, and duality theorems are proved. The duality theorems proved allow one to conclude that a sufficient condition for an extremum is an extremal relation for the direct and dual problems.",

keywords = "Conjugate function, Conjugate mappings, Duality, Multivalued, Subdifferential, Sufficient conditions",

author = "Mahmudov, \{E. N.\}",

year = "2008",

month = may,

doi = "10.1007/s10898-007-9164-y",

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volume = "41",

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journal = "Journal of Global Optimization",

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T1 - Sufficient conditions for optimality for differential inclusions of parabolic type and duality

AU - Mahmudov, E. N.

PY - 2008/5

Y1 - 2008/5

N2 - Sufficient conditions for optimality are derived for partial differential inclusions of parabolic type on the basis of the apparatus of locally conjugate mapping, and duality theorems are proved. The duality theorems proved allow one to conclude that a sufficient condition for an extremum is an extremal relation for the direct and dual problems.

AB - Sufficient conditions for optimality are derived for partial differential inclusions of parabolic type on the basis of the apparatus of locally conjugate mapping, and duality theorems are proved. The duality theorems proved allow one to conclude that a sufficient condition for an extremum is an extremal relation for the direct and dual problems.

KW - Conjugate function

KW - Conjugate mappings

KW - Duality

KW - Multivalued

KW - Subdifferential

KW - Sufficient conditions

UR - https://www.scopus.com/pages/publications/41549103700

U2 - 10.1007/s10898-007-9164-y

DO - 10.1007/s10898-007-9164-y

M3 - Article

AN - SCOPUS:41549103700

SN - 0925-5001

VL - 41

SP - 31

EP - 42

JO - Journal of Global Optimization

JF - Journal of Global Optimization

IS - 1

ER -

Sufficient conditions for optimality for differential inclusions of parabolic type and duality

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap