scholarly journals Evolution variational inequalities and projected dynamical systems with application to human migration

2006 ◽  
Vol 43 (5-6) ◽  
pp. 646-657 ◽  
Author(s):  
Anna Nagurney ◽  
Jie Pan
Keyword(s):  
Dynamical Systems ◽  
Variational Inequalities ◽  
Human Migration ◽  
Projected Dynamical Systems ◽  
Evolution Variational Inequalities

scholarly journals Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-23 ◽  
Author(s):  
Monica Gabriela Cojocaru ◽  
Stephane Pia
Keyword(s):  
Dynamical Systems ◽  
Variational Inequalities ◽  
Hilbert Spaces ◽  
Dual Space ◽  
Variational Problems ◽  
Base Space ◽  
Projected Dynamical Systems

This paper presents a generalization of the concept and uses of projected dynamical systems to the case of nonpivot Hilbert spaces. These are Hilbert spaces in which the topological dual space is not identified with the base space. The generalization consists of showing the existence of such systems and their relation to variational problems, such as variational inequalities. In the case of usual Hilbert spaces these systems have been extensively studied, and, as in previous works, this new generalization has been motivated by applications, as shown below.

scholarly journals Infinite-dimensional projected dynamics and the 1-dimensional obstacle problem

2005 ◽  
Vol 3 (3) ◽  
pp. 251-262 ◽  
Author(s):  
Monica-Gabriela Cojocaru
Keyword(s):  
Dynamical Systems ◽  
Variational Inequalities ◽  
Dynamic Problem ◽  
Obstacle Problem ◽  
Direct Application ◽  
Projected Dynamical Systems ◽  
Dimensional Theory ◽  
Infinite Dimensional ◽  
Elastic String

In this paper we present a direct application of the theory of infinite-dimensional projected dynamical systems (PDS) related to the well-knownobstacle problem, i.e., the problem of determining the shape of an elastic string stretched over a body (obstacle). While the obstacle problem is static in nature and is solved via variational inequalities theory, we show here that the dynamic problem of describing the vibration movement of the string around the obstacle is solved via the infinite-dimensional theory of projected dynamical systems.

scholarly journals Second-order dynamical systems associated to variational inequalities

2016 ◽  
Vol 96 (5) ◽  
pp. 799-809 ◽  
Author(s):  
Radu Ioan Boţ ◽  
Ernö Robert Csetnek
Keyword(s):  
Dynamical Systems ◽  
Variational Inequalities ◽  
Second Order

scholarly journals Projected dynamical systems in a complementarity formalism

2000 ◽  
Vol 27 (2) ◽  
pp. 83-91 ◽  
Author(s):  
W.P.M.H. Heemels ◽  
J.M. Schumacher ◽  
S. Weiland
Keyword(s):  
Dynamical Systems ◽  
Projected Dynamical Systems
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