Nonconvex integro-differential sweeping processes involving maximal monotone operators-Reference-Cited by-同舟云学术

Nonconvex integro-differential sweeping processes involving maximal monotone operators

Published:2023-11-03 Issue:6 Volume:52 Page:1677-1690
ISSN:2651-477X
Container-title:Hacettepe Journal of Mathematics and Statistics
language:
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Author:

MANSOUR Mouchira¹^ORCID,KECİS Ilyas¹^ORCID,HADDAD Tahar²^ORCID

Affiliation:

1. Laboratoire LMPEA, Facult´e des Sciences Exactes et Informatique, Universit´e Mohammed Seddik Benyahia

2. Laboratoire LMPEA, Facult´e des Sciences Exactes et Informatique

Abstract

This paper is devoted to the study of a perturbed differential inclusion governed by a nonconvex sweeping process in a Hilbert space. The sweeping process is perturbed by a sum of an integral forcing term which the integrand depends on two time-variables and a maximal monotone operator. By using a semi-regularization method combined with a Gronwall-like inequality we prove solvability of the initial value problem.

Publisher

Hacettepe University

Subject

Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis

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