scholarly journals Periodic Solutions to Differential Variational Inequalities of Parabolic-elliptic Type

2020 ◽  
Vol 24 (6) ◽  
pp. 1497-1527
Author(s):  
Thi Van Anh Nguyen
Keyword(s):  
Variational Inequalities ◽  
Periodic Solutions ◽  
Elliptic Type ◽  
Differential Variational Inequalities

scholarly journals On periodic solutions to a class of delay differential variational inequalities

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Nguyen Thi Van Anh
Keyword(s):  
Variational Inequalities ◽  
Periodic Solutions ◽  
Delay Differential Equations ◽  
Conditional Stability ◽  
Sufficient Condition ◽  
Initial Value ◽  
Periodic Problems ◽  
Existence Of Periodic Solutions ◽  
Delay Differential ◽  
Differential Variational Inequalities

<p style='text-indent:20px;'>In this paper, we introduce and study a class of delay differential variational inequalities comprising delay differential equations and variational inequalities. We establish a sufficient condition for the existence of periodic solutions to delay differential variational inequalities. Based on some fixed point arguments, in both single-valued and multivalued cases, the solvability of initial value and periodic problems are proved. Furthermore, we study the conditional stability of periodic solutions to this systems.</p>

EXISTENCE AND GLOBAL BIFURCATION OF PERIODIC SOLUTIONS TO A CLASS OF DIFFERENTIAL VARIATIONAL INEQUALITIES

2013 ◽  
Vol 23 (07) ◽  
pp. 1350125 ◽  
Author(s):  
ZHENHAI LIU ◽  
NGUYEN VAN LOI ◽  
VALERI OBUKHOVSKII
Keyword(s):  
Variational Inequalities ◽  
Periodic Solutions ◽  
Topological Degree ◽  
Global Bifurcation ◽  
Degree Theory ◽  
Topological Degree Theory ◽  
Multivalued Maps ◽  
Guiding Functions ◽  
Differential Variational Inequalities

In this paper, by using the topological degree theory for multivalued maps and the method of guiding functions, the existence and global bifurcation for periodic solutions of a class of differential variational inequalities are studied.

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

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 266 ◽  
Author(s):  
Savin Treanţă
Keyword(s):  
Optimal Control ◽  
Variational Inequality ◽  
Variational Inequalities ◽  
Optimal Control Theory ◽  
Infinite Dimensional ◽  
Nash Games ◽  
New Class ◽  
Set Valued Mappings ◽  
Differential Variational Inequalities ◽  
Theoretical Developments

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.

Periodic solutions of certain variational inequalities

1988 ◽  
Vol 29 (3-4) ◽  
pp. 301-327 ◽  
Author(s):  
S.A. Belbas ◽  
T.I. Seidman
Keyword(s):  
Variational Inequalities ◽  
Periodic Solutions
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