论文信息 - Equilibria trajectories as stationary solutions of infinite-dimensional projected dynamical systems

Equilibria trajectories as stationary solutions of infinite-dimensional projected dynamical systems

We show that the problem of solving a certain class of time dependent variational inequalities is equivalent to the one of finding the stationary solutions of a related class of constrained dynamical systems. We exploit this equivalence to analyse the time dependent complementary problem.

Fabio Raciti

[1] A. Nagurney,et al. On the stability of projected dynamical systems , 1995 .

[2] Antonino Maugeri,et al. Time-Dependent Traffic Equilibria , 1999 .

[3] Antonino Maugeri,et al. Convex programming, variational inequalities, and applications to the traffic equilibrium problem , 1987 .

[4] Jonathan M. Borwein,et al. Partially finite convex programming, Part I: Quasi relative interiors and duality theory , 1992, Math. Program..

[5] K. Deimling. Nonlinear functional analysis , 1985 .

[6] A. Nagurney,et al. Projected Dynamical Systems and Variational Inequalities with Applications , 1995 .

[7] Fabio Raciti,et al. Equilibrium in Time Dependent Traffic Networks with Delay , 2001 .

[8] Joachim Gwinner,et al. TIME DEPENDENT VARIATIONAL INEQUALITIES - SOME RECENT TRENDS , 2003 .