Affiliation:
1. LMPA Laboratory, Faculty of Exact Sciences and Computer Science , University of Jijel , Algeria
Abstract
Abstract
In this paper, we are concerned with an iterative differential inclusion governed by the time-dependent maximal monotone operator with perturbation. The approach to solve our problem is based on the Yosida approximation technique. The theoretical result is applied to prove an existence result for a Lagrange optimal control problem without assumptions concerning convexity.
Reference32 articles.
1. AFFANE, D.—GHALIA, S.: First-order iterative differential inclusion, Electron. J. Math. Anal. Appl. 10 (2022), 1–10.
2. AUBIN, J.-P.—CELLINA, A.: Differential Inclusions. Set-valued Maps and Viability Theory. Grundlehren Math. Wiss. [Fundamental Principles of Mathematical Sciences], Vol. 264 Springer-Verlag, Berlin, 1984.
3. BERINDE, V.: Existence and approximation of solutions of some first order iterative differential equations, Miskolc Math. Notes 11 (2010), 13–26.
4. BERTSEKAS, D. P.: Convex Optimization Theory. Athena Scientific, Nashua, NH, 2009.
5. BRÉZIS, H.: Opérateurs Maximaux Monotones et Semi-groupes de Contractions Dans les Espaces de Hilbert. North-Holland Math. Stud. Vol. 5, Elsevier, Amsterdam, 1973.