lagrangean variables in infinite dimensional spaces for a dynamic economic equilibrium problem

this paper is focused on the study of a dynamic competitive equilibrium by using lagrangean multipliers. this mathematical formulation allows us the improve the walrasian model by considering the common possibility of an uncharged delayed payment in a given time (for example, by using a credit card). firstly the economic equilibrium problem is reformulated as an evolutionary variational problem; then the lagrangean theory in infinite dimensional spaces is applied. thanks to the application of this theory we obtain the existence of lagrangean multipliers, which allows us to give a computational procedure for the equilibrium solutions.