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Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities
This paper analyzes and discusses the well-posedness of two new variants of the so-called sweeping process introduced by Moreau in the early 70s and shows how elegant modern convex analysis was influenced by moreau’s seminal work. Expand
Reduction of sweeping process to unconstrained differential inclusion
For a general class of nonconvex and non prox-regular sets, we associate with any sweeping process differential inclusion with such sets an unconstraint differential inclusion whose any solution is a… Expand
Reduction of state dependent sweeping process to unconstrained differential inclusion
A theorem on the existence of a global solution of nonconvex state dependent sweeping process with unbounded perturbations is proved. Expand
State-Dependent Sweeping Process with Perturbation
We prove, via a new projection algorithm, the existence of solutions for differential inclusion generated by sweeping process with closed convex sets depending on state.
An existence result for a new variant of the nonconvex sweeping process
EXISTENCE OF SOLUTIONS FOR NONCONVEX SECOND-ORDER DIFFERENTIAL INCLUSIONS IN THE INFINITE DIMENSIONAL SPACE
We prove the existence of solutions to the dierential inclusion ¨ x(t) 2 F(x(t), ˙ x(t)) + f(t,x(t), ˙ x(t)), x(0) = x0, ˙ x(0) = y0, where f is a Caratheodory function and F with nonconvex values in… Expand
Differential Inclusion Governed by a State Dependent Sweeping Process
- T. Haddad
We establish a result asserting the existence of solutions for a perturbed state dependent sweeping process in an infinite dimensional Hilbert space.
Existence of solutions for a class of nonconvex differential inclusions
We prove the existence of solutions to the functional differential inclusion of the form where is a Carathéodory function and an upper semicontinuous multifunction with compact values in a Hilbert… Expand
Mixed semicontinuous perturbations of nonconvex sweeping processes
A theorem on the existence of a global solution of a differential inclusion governed by a class of nonconvex sweeping processes with unbounded perturbations is proved. Expand
An Implicit Sweeping Process Approach to Quasistatic Evolution Variational Inequalities
The link between the implicit sweeping process and the quasistatic evolution variational inequality is possible thanks to some standard tools from convex analysis and is new in the literature. Expand