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

被引：37

作者：

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

机构：

[1] Tech Univ Istanbul, Fac Management, Dept Ind Engn, TR-8680 Istanbul, Turkey

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 10期

关键词：

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

D O I：

10.1016/j.na.2006.09.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2966 / 2981

页数：16

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