scholarly journals Nonlinear parabolic variational inequalities with time-dependent constraints

1977 ◽  
Vol 53 (6) ◽  
pp. 186-189 ◽  
Author(s):  
Nobuyuki Kenmochi
2017 ◽  
Vol 449 (2) ◽  
pp. 1229-1247 ◽  
Author(s):  
Maria Gokieli ◽  
Nobuyuki Kenmochi ◽  
Marek Niezgódka

2007 ◽  
Vol 17 (02) ◽  
pp. 277-304 ◽  
Author(s):  
ANNAMARIA BARBAGALLO

The aim of this paper is to consider time-dependent variational and quasi-variational inequalities and to study under which assumptions the continuity of solutions with respect to time can be ensured. Making an appropriate use of the set convergence in Mosco's sense, we are able to prove continuity results for strongly monotone variational and quasi-variational inequalities. The continuity results allow us to provide a discretization procedure for the calculation of solutions to the variational inequalities and, as a consequence, we can solve the time-dependent traffic network equilibrium problem.


2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Wei Li ◽  
Xing Wang ◽  
Nan-Jing Huang

A system of differential set-valued variational inequalities is introduced and studied in finite dimensional Euclidean spaces. An existence theorem of weak solutions for the system of differential set-valued variational inequalities in the sense of Carathéodory is proved under some suitable conditions. Furthermore, a convergence result on Euler time-dependent procedure for solving the system of differential set-valued variational inequalities is also given.


1991 ◽  
Vol 159 (1) ◽  
pp. 117-131 ◽  
Author(s):  
Marco Luigi Bernardi ◽  
Gianni Arrigo Pozzi

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