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.
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页码：2966 / 2981
页数：16
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