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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Online Access: | https://www.mdpi.com/2073-8994/12/3/472 |
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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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1724837194695180288 |