Necessary and sufficient conditions for discrete and differential inclusions of elliptic type

E. N. Mahmudov

doi:10.1016/j.jmaa.2005.10.069

Necessary and sufficient conditions for discrete and differential inclusions of elliptic type

E. N. Mahmudov^*

^*Bu çalışma için yazışmadan sorumlu yazar

Istanbul University

Araştırma çıktısı: Dergi yayını › Makale › Hakem

53 Atıf (Scopus)

Özet

This paper deals for the first time with the Dirichlet problem for discrete (P_D), discrete approximation problem on a uniform grid and differential (P_C) inclusions of elliptic type. In the form of Euler-Lagrange inclusion necessary and sufficient conditions for optimality are derived for the problems under consideration on the basis of new concepts of locally adjoint mappings. The results obtained are generalized to the multidimensional case with a second order elliptic operator.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	768-789
Sayfa sayısı	22
Dergi	Journal of Mathematical Analysis and Applications
Hacim	323
Basın numarası	2
DOI'lar	https://doi.org/10.1016/j.jmaa.2005.10.069
Yayın durumu	Yayınlandı - 15 Kas 2006
Harici olarak yayınlandı	Evet

Belgeye Erişim

10.1016/j.jmaa.2005.10.069

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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abstract = "This paper deals for the first time with the Dirichlet problem for discrete (PD), discrete approximation problem on a uniform grid and differential (PC) inclusions of elliptic type. In the form of Euler-Lagrange inclusion necessary and sufficient conditions for optimality are derived for the problems under consideration on the basis of new concepts of locally adjoint mappings. The results obtained are generalized to the multidimensional case with a second order elliptic operator.",

keywords = "Dirichlet problems, Discrete and differential inclusion, Discrete approximation, Locally adjoint mappings, Necessary and sufficient conditions, Nonsmooth analysis",

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N2 - This paper deals for the first time with the Dirichlet problem for discrete (PD), discrete approximation problem on a uniform grid and differential (PC) inclusions of elliptic type. In the form of Euler-Lagrange inclusion necessary and sufficient conditions for optimality are derived for the problems under consideration on the basis of new concepts of locally adjoint mappings. The results obtained are generalized to the multidimensional case with a second order elliptic operator.

AB - This paper deals for the first time with the Dirichlet problem for discrete (PD), discrete approximation problem on a uniform grid and differential (PC) inclusions of elliptic type. In the form of Euler-Lagrange inclusion necessary and sufficient conditions for optimality are derived for the problems under consideration on the basis of new concepts of locally adjoint mappings. The results obtained are generalized to the multidimensional case with a second order elliptic operator.

KW - Dirichlet problems

KW - Discrete and differential inclusion

KW - Discrete approximation

KW - Locally adjoint mappings

KW - Necessary and sufficient conditions

KW - Nonsmooth analysis

UR - https://www.scopus.com/pages/publications/33750632695

U2 - 10.1016/j.jmaa.2005.10.069

DO - 10.1016/j.jmaa.2005.10.069

M3 - Article

AN - SCOPUS:33750632695

SN - 0022-247X

VL - 323

SP - 768

EP - 789

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Necessary and sufficient conditions for discrete and differential inclusions of elliptic type

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap