Dalila Azzam-Laouir

Existence solutions for second-order differential inclusions with nonconvex perturbations

The article studies the three-point boundary value problems for second-order perturbed differential inclusions of the form a.e. on [0,1]. The existence of solutions is proved under nonconvexity condition for the multifunction H.

On perturbed sweeping process

This paper is devoted to the study of a perturbed differential inclusion governed by a sweeping process in a Hilbert space. The sweeping process is perturbed by a sum of a single-valued map satisfying a Lipschitz condition and a scalarly upper semicontinuous set-valued map.

Existence of solutions for second-order perturbed nonconvex sweeping process

Abstract We prove a theorem on the existence solutions for a second-order differential inclusion governed by a class of nonconvex sweeping process. Our result improves and generalizes many results from the literature of sweeping process.

Existence and Relaxation Theorem for a Second Order Differential Inclusion

In a separable Banach space we consider a three point boundary value problem for a second order differential inclusion of the form We investigate the existence of solutions, when the multifunction F is unbounded-valued and satisfies a pseudo-Lipschitz property. Then, a Lipschitz case is derived and the associated relaxed problem is studied.

A control problem governed by a second-order differential inclusion

This article studies some Bolza-type problems governed by second-order differential inclusions with two boundary conditions, where the controls are Young measures.

A second order differential inclusion with proximal normal cone in Banch spaces

In the present paper we mainly consider the second order evolution inclusion with proximal normal cone:

Corrigendum to Application of Pettis integration to delay second order differential inclusions

\begin{cases} -\ddot{x}(t)\in N_{K(t)}(\dot{x}(t))+F(t,x(t),\dot{x}(t)), \quad \textmd{a.e.}\\ \dot x(t)\in K(t),\\ x(0)=x_0,\quad\dot x(0)=u_0, \end{cases} \leqno{(*)}

APPLICATION OF PETTIS INTEGRATION TO DIFFERENTIAL INCLUSIONS WITH THREE-POINT BOUNDARY CONDITIONS IN BANACH SPACES

where