On Modified Interval-Valued Variational Control Problems with First-Order PDE Constraints

On Modified Interval-Valued Variational Control Problems with First-Order PDE Constraints

In this paper, a modified interval-valued variational control problem involving first-order partial differential equations (PDEs) and inequality constraints is investigated. Specifically, under some generalized convexity assumptions, we formulate and prove LU-optimality conditions for the considered...

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Bibliographic Details
Main Author: Savin Treanţă
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Symmetry
Subjects:
interval-valued variational control problem
invexity
pseudo-invexity
symmetry
Online Access:https://www.mdpi.com/2073-8994/12/3/472
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spelling doaj-e0f353cd36994e079cf94ab16dd1b45b2020-11-25T02:28:41ZengMDPI AGSymmetry2073-89942020-03-0112347210.3390/sym12030472sym12030472On Modified Interval-Valued Variational Control Problems with First-Order PDE ConstraintsSavin Treanţă0Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, RomaniaIn this paper, a modified interval-valued variational control problem involving first-order partial differential equations (PDEs) and inequality constraints is investigated. Specifically, under some generalized convexity assumptions, we formulate and prove LU-optimality conditions for the considered interval-valued variational control problem. In order to illustrate the main results and their effectiveness, an application is provided.https://www.mdpi.com/2073-8994/12/3/472interval-valued variational control probleminvexitypseudo-invexitysymmetry
collection DOAJ
language English
format Article
sources DOAJ
author Savin Treanţă
spellingShingle Savin Treanţă
On Modified Interval-Valued Variational Control Problems with First-Order PDE Constraints
Symmetry
interval-valued variational control problem
invexity
pseudo-invexity
symmetry
author_facet Savin Treanţă
author_sort Savin Treanţă
title On Modified Interval-Valued Variational Control Problems with First-Order PDE Constraints
title_short On Modified Interval-Valued Variational Control Problems with First-Order PDE Constraints
title_full On Modified Interval-Valued Variational Control Problems with First-Order PDE Constraints
title_fullStr On Modified Interval-Valued Variational Control Problems with First-Order PDE Constraints
title_full_unstemmed On Modified Interval-Valued Variational Control Problems with First-Order PDE Constraints
title_sort on modified interval-valued variational control problems with first-order pde constraints
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-03-01
description In this paper, a modified interval-valued variational control problem involving first-order partial differential equations (PDEs) and inequality constraints is investigated. Specifically, under some generalized convexity assumptions, we formulate and prove LU-optimality conditions for the considered interval-valued variational control problem. In order to illustrate the main results and their effectiveness, an application is provided.
topic interval-valued variational control problem
invexity
pseudo-invexity
symmetry
url https://www.mdpi.com/2073-8994/12/3/472
work_keys_str_mv AT savintreanta onmodifiedintervalvaluedvariationalcontrolproblemswithfirstorderpdeconstraints
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