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

Mahmudov, Elmkhan

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

Atıf İçin Kopyala

Mahmudov E.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.67, sa.10, ss.2966-2981, 2007 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 67 Sayı: 10
Basım Tarihi: 2007
Doi Numarası: 10.1016/j.na.2006.09.054
Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2966-2981
İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

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 (P-D) 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. (C) 2007 Published by Elsevier Ltd.