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

被引：47

作者：

Mahmudov, E. N. ^{[1
]}

机构：

[1] Istanbul Univ, Fac Engn, Dept Ind Engn, TR-34850 Istanbul, Turkey

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 323卷 / 02期

关键词：

discrete approximation; discrete and differential inclusion; Dirichlet problems; nonsmooth analysis; locally adjoint mappings; necessary and sufficient conditions;

D O I：

10.1016/j.jmaa.2005.10.069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2005 Published by Elsevier Inc.

引用

页码：768 / 789

页数：22

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