Mixed Semicontinuous Perturbation of Nonconvex State-Dependent Sweeping Process

Dalila Azzam-Laouir; Sabrina Izza; Lionel Thibault

doi:10.1007/s11228-013-0248-1

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Mixed Semicontinuous Perturbation of Nonconvex State-Dependent Sweeping Process

Journal article

Peer reviewed

Mixed Semicontinuous Perturbation of Nonconvex State-Dependent Sweeping Process

Dalila Azzam-Laouir, Sabrina Izza and Lionel Thibault

Set-Valued and Variational Analysis, Vol.22(1), pp.271-283

03/2014

DOI: https://doi.org/10.1007/s11228-013-0248-1

Abstract

Differential inclusion

Sweeping process

Fixed point

Normal cone

Prox-regular set

In this paper we prove a result on the existence of solutions of a first-order differential inclusion governed by a class of nonconvex sweeping process. The moving set involved in the process is prox-regular and depends both on the time and on the state.

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Title: Mixed Semicontinuous Perturbation of Nonconvex State-Dependent Sweeping Process
Creators - without role: Dalila Azzam-Laouir - University of Jijel
Sabrina Izza - University of Jijel
Lionel Thibault - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Publication Details: Set-Valued and Variational Analysis, Vol.22(1), pp.271-283
Identifiers: 9945459709311
Academic Unit: Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Journal article
Local Fields: hal-02073072