On a Class of Differential Variational Inequalities in Infinite-Dimensional Spaces

A new class of differential variational inequalities (DVIs), governed by a variational inequality and an evolution equation formulated in infinite-dimensional spaces, is investigated in this paper. More precisely, based on Browder’s result, optimal control theory, measurability of set-valued mapping...

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Vydané v:Mathematics (Basel) Ročník 9; číslo 3; s. 266
Hlavný autor: Treanţă, Savin
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Basel MDPI AG 2021
Predmet:
Banach spaces
bounded operator
Control theory
differential variational inequality
evolutionary problem
existence of solutions
Hypotheses
Inequalities
Inequality
Mathematics
Optimal control
ISSN:2227-7390, 2227-7390
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Shrnutí:A new class of differential variational inequalities (DVIs), governed by a variational inequality and an evolution equation formulated in infinite-dimensional spaces, is investigated in this paper. More precisely, based on Browder’s result, optimal control theory, measurability of set-valued mappings and the theory of semigroups, we establish that the solution set of DVI is nonempty and compact. In addition, the theoretical developments are accompanied by an application to differential Nash games.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2227-7390
2227-7390
DOI:10.3390/math9030266