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....

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...