Existence of solutions to periodic boundary value problems for impulsive nonconvex functional differential inclusions

Mustapha Lakrib (1)

1 UDL - جامعة جيلالي اليابس [سيدي بلعباس، الجزائر] = Université Djillali Liabès [Sidi Bel Abbès, Algérie] = Djillali Liabes University [Sidi Bel Abbès, Algeria]

In this paper we prove an existence theorem for periodic boundary value problems for impulsive first order functional differential inclusions with nonconvex valued right-hand sides. Our approach is based on the nonlinear alternative of Leray-Schauder combined with a continuous selection theorem due to Bressan and Colombo.

Mots clés: Functional differential inclusions; impulses; fixed point theorem; continuous selection; existence theorem.; existence theorem

Domaines: Systèmes dynamiques [math.DS]

Mustapha Lakrib. Existence of solutions to periodic boundary value problems for impulsive nonconvex functional differential inclusions. 2007. ⟨hal-00182847⟩