Extremal problems for discrete and differential inclusions of hyperbolic type with distributed parameters
type: Item
instance of: scholarly article
title: Extremal problems for discrete and differential inclusions of hyperbolic type with distributed parameters
zbMATH Open document ID: 0726.49012
DOI: 10.1007/BF01060818
author: Eh. N. Makhmudov
published in: Ukrainian Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: A system of discrete convex inclusions is considered. The system is called hyperbolic since it can be viewed as a finite difference approximation of a boundary value problem for the second order hyperbolic inclusions. For this system a convex extremal problem is considered. Using Pshenichny's concept of locally adjoint mappings, sufficient and necessary conditions of optimality are derived. Passing formally to the limit with the step of discretization, some conditions are obtained, which are shown to be sufficient optimality conditions for the discretized hyperbolic extremal problem.
Mathematics Subject Classification ID: 49K24
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 4198903
zbMATH Keywords: discrete convex inclusions
zbMATH Keywords: finite difference approximation
zbMATH Keywords: boundary value problem
zbMATH Keywords: second order hyperbolic inclusions
zbMATH Keywords: locally adjoint mappings
zbMATH Keywords: sufficient and necessary conditions of optimality
reviewed by: Kazimierz Malanowski
MaRDI profile type: Publication
cites work: Q3700353
cites work: Q5807063
cites work: Q3793254
cites work: Q4110032
full work available at URL: https://doi.org/10.1007/bf01060818
OpenAlex ID: W2106675365
description: scientific article; zbMATH DE number 4198903