- Hacettepe Journal of Mathematics and Statistics
- Cilt: 52 Sayı: 6 - Special Issue: Nonlinear Evolution Problems with Applications
- Nonconvex integro-differential sweeping processes involving maximal monotone operators
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 : 133 | Download : 245
Publication Date : 2023-11-03
Article Type : Research
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 : Moreau’s sweeping process, Volterra integro-differential equation, Maximal monotone operator, differential inclusion, variational analysis