On perturbed sweeping process

Dalila Azzam-Laouir; Amira Makhlouf; Lionel Thibault

doi:10.1080/00036811.2014.1002482

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Journal article

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On perturbed sweeping process

Dalila Azzam-Laouir, Amira Makhlouf and Lionel Thibault

Applicable Analysis, Vol.95(2), pp.303-322

09/02/2015

DOI: https://doi.org/10.1080/00036811.2014.1002482

Abstract

Lipschitz map

r-prox-regularity

Set-valued map

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.

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Details

Title: On perturbed sweeping process
Creators - without role: Dalila Azzam-Laouir - University of Jijel
Amira Makhlouf - Laboratoire de Mathématiques
Lionel Thibault - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Publication Details: Applicable Analysis, Vol.95(2), pp.303-322
Identifiers: 9945559609311
Academic Unit: Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Journal article
Local Fields: hal-02072866