We establish necessary conditions of optimality for problems of optimal control Theory in the discrete time framework with infinite horizon. Our necessary conditions are in the form of Pontryagin principles. We treat smooth and partially nonsmooth settings, without concavity. A strong motivation...

We build spaces of q.p. (quasi-periodic) functions and we establich some of their properties. They are motivated by the Perceival approach to q.p. solutions of Hamiltonian systems. The periodic solutions of an adequat Partial Differential Equation are related to the q.p. solutions of an Ordinar...

We study the differentiability of order k greater than or equal to 1 of optimal trajectories of dynamic economic models with respect various parameters like initial stock, discount rate, ... We use the framework of Babach spaces of sequences and we use Differential Calculus on operators between...

We study the almost periodic solutions of Euler equations and of some more general difference equations. We consider two different notions of almost periodic sequences, and we establish some relations between them. We build suitable sequences spaces and we prove some properties of these spaces....

This paper studies the equilibrium dynamics of an overlapping generations model with capital, money and cash-in-advance constraints. At each date the economy can experience two different regimes. In the first one the cash-in-advance constraint is binding and money is a dominated asset. In the...

L'objet de cet article est d'approfondir la question de la definition de la solvabilite de l'Etat. A la question, jusqu'ou l'Etat peut-il s'endetter ? Nous répondons que l'endettement public acceptable, ne conduisant pas à la faillite, est celui qui reste compatible avec un fonctionnement...