A solution differentiability result for evolutionary quasi-variational inequalities

Evolutionary Quasi-Variational Inequalities and the Dynamic Multiclass Network Equilibrium Problem

“…First, we explicitly take into account the dependence on time of the constraint set, so that we are able to represent more reliable models and take into account adjustment processes or retarded equilibria; see, for instance, [24][25][26][27][28]. In fact, in most cases constraint sets are not time-specific, and, hence, a static approach is performed.…”

Infinite Dimensional Duality Theory Applied to Investment Strategies in Environmental Policy

“…It is by now recognized the importance and the necessity of studying evolutionary problems, in order to represent reliable models, that take into account equilibria adjustment processes or retarded equilibria (see, for instance, [19][20][21][22][23][24][25][26][27][28][29][30][31]). In fact, the static approach that is a first important step for modeling real phenomena, describes systems that naturally evolve in time, only in a fixed moment of their evolvement; whereas, the evolutionary framework makes it possible to follow the evolution of systems.…”

A variational inequality formulation of the environmental pollution control problem

“…In addition, we attempt to refine models in the literature, taking into account the evolution of the system with respect to time, and hence assuming that all data are time-specific. It is indeed well-recognized (see for instance [2,8,11,14,22,23,[29][30][31][32][33]) the importance of studying dynamic problems in order to represent model adjustment processes and equilibrium with lags. The mathematical framework chosen for the study of the model is that of infinite dimensional variational inequalities (see the fundamental manuscripts [17,34] and the books [9,15,21] for both theory and applications on finite and infinite dimensional variational inequalities).…”