Locally adjoint mappings and optimization of the first boundary value problem for hyperbolic type discrete and differential inclusions

E. N. Mahmudov

doi:10.1016/j.na.2006.09.054

Locally adjoint mappings and optimization of the first boundary value problem for hyperbolic type discrete and differential inclusions

E. N. Mahmudov^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma çıktısı: Dergi yayını › Makale › Hakem

46 Atıf (Scopus)

Özet

The present paper deals with discrete approximation on a uniform grid of the first boundary value problem (P_C) for differential inclusions of hyperbolic type. In the form of Euler-Lagrange inclusions, necessary and sufficient conditions for optimality are derived for the discrete (P_D) and continuous (P_C) problems 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)	2966-2981
Sayfa sayısı	16
Dergi	Nonlinear Analysis, Theory, Methods and Applications
Hacim	67
Basın numarası	10
DOI'lar	https://doi.org/10.1016/j.na.2006.09.054
Yayın durumu	Yayınlandı - 15 Kas 2007

Belgeye Erişim

10.1016/j.na.2006.09.054

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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abstract = "The present paper deals with discrete approximation on a uniform grid of the first boundary value problem (PC) for differential inclusions of hyperbolic type. In the form of Euler-Lagrange inclusions, necessary and sufficient conditions for optimality are derived for the discrete (PD) and continuous (PC) problems 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 = "Boundary value problems, Discrete and differential inclusion, Discrete approximation, Locally adjoint mappings, Necessary and sufficient conditions, Nonsmooth analysis",

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

year = "2007",

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AU - Mahmudov, E. N.

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N2 - The present paper deals with discrete approximation on a uniform grid of the first boundary value problem (PC) for differential inclusions of hyperbolic type. In the form of Euler-Lagrange inclusions, necessary and sufficient conditions for optimality are derived for the discrete (PD) and continuous (PC) problems 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 - The present paper deals with discrete approximation on a uniform grid of the first boundary value problem (PC) for differential inclusions of hyperbolic type. In the form of Euler-Lagrange inclusions, necessary and sufficient conditions for optimality are derived for the discrete (PD) and continuous (PC) problems 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 - Boundary value 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/34547123356

U2 - 10.1016/j.na.2006.09.054

DO - 10.1016/j.na.2006.09.054

M3 - Article

AN - SCOPUS:34547123356

SN - 0362-546X

VL - 67

SP - 2966

EP - 2981

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 10

ER -

Locally adjoint mappings and optimization of the first boundary value problem for hyperbolic type discrete and differential inclusions

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap