Nonconvex integro-differential sweeping processes involving maximal monotone operators

Authors : Mouchira Mansour, Ilyas Kecis, Tahar Haddad

Pages : 1677-1690

Doi:10.15672/hujms.1197368

View : 154 | Download : 255

Publication Date : 2023-11-03

Article Type : Research Paper

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.
Keywords : Moreaus sweeping process, Volterra integro differential equation, Maximal monotone operator, differential inclusion, variational analysis