Unbounded perturbation for a class of variational inequalities
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2017, Vol 37, Issue 1
Abstract
In this paper, we prove the existence of solutions of a class of variational inequalities known as the so-called second order "sweeping process" with perturbations. We deal with the nonconvex case using some definition of uniformly prox regular sets. Moreover, the perturbation is not necessary bounded nor with compact values.
Authors and Affiliations
Doria Affane, Mustapha Fateh Yarou
Keywords
Related Articles
- EP ID EP479995
- DOI 10.7151/dmdico.1189
- Views 54
- Downloads 0
A general class of McKean-Vlasov stochastic evolution equations driven by Brownian motion and Lèvy process and controlled by Lèvy measure
In this paper we consider McKean-Vlasov stochastic evolution equations on Hilbert spaces driven by Brownian motion and Lèvy process and controlled by Lèvy measures. We prove existence and uniqueness of solutions and regu...
Random integral guiding functions with application to random differential complementarity systems
By applying the random topological degree we develop the methods of random smooth and nonsmooth integral guiding functions and use them for the study of random differential inclusions in finite dimensional spaces. Some e...
Existence of solutions for a second order problem on the half-line via Ekeland's variational principle
In this paper we study the existence of nontrivial solutions for a nonlinear boundary value problem posed on the half-line. Our approach is based on Ekeland's variational principle.
Infinite dimensional uncertain dynamic systems on Banach spaces and their optimal output feedback control
In this paper we consider a class of partially observed semilinear dynamic systems on infinite dimensional Banach spaces subject to dynamic and measurement uncertainty. The problem is to find an output feedback control l...
New results on fractional neutral integro-differential systems with state-dependent delay via resolvent operators
In this manuscript, we set up sufficient conditions for existence and uniqueness of solutions for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. Our methodology...