Well-posedness, optimal control, and sensitivity analysis for a class of differential variational-hemivariational inequalities

S Zeng, S Migórski, Z Liu - SIAM Journal on Optimization, 2021 - SIAM
The objective of the paper is to investigate a dynamical system called a differential
variational-hemivariational inequality (DVHVI) which couples an abstract variational …

Nonlinear quasi-hemivariational inequalities: existence and optimal control

S Zeng, S Migórski, AA Khan - SIAM Journal on Control and Optimization, 2021 - SIAM
In this paper, we investigate a generalized nonlinear quasi-hemivariational inequality (QHI)
involving a multivalued map in a Banach space. Under general assumptions, by using a …

Generalized penalty and regularization method for differential variational-hemivariational inequalities

Z Liu, D Motreanu, S Zeng - SIAM Journal on Optimization, 2021 - SIAM
The primary objective of this paper is to study a large class of differential variational-
hemivariational inequalities involving history-dependent operators and constraints in a …

Inverse problems for generalized quasi-variational inequalities with application to elliptic mixed boundary value systems

J Cen, AA Khan, D Motreanu, S Zeng - Inverse Problems, 2022 - iopscience.iop.org
This paper investigates the inverse problem of estimating a discontinuous parameter in a
quasi-variational inequality involving multi-valued terms. We prove that a well-defined …

Solvability and pullback attractor for a class of differential hemivariational inequalities with its applications

X Li, Z Liu, NS Papageorgiou - Nonlinearity, 2023 - iopscience.iop.org
In this paper, we consider an abstract system which consists of a nonlinear differential
inclusion and a parabolic hemivariational inequality (DPHVI) in Banach spaces. The …

A class of fractional differential hemivariational inequalities with application to contact problem

S Zeng, Z Liu, S Migorski - Zeitschrift für angewandte Mathematik und …, 2018 - Springer
In this paper, we study a class of generalized differential hemivariational inequalities of
parabolic type involving the time fractional order derivative operator in Banach spaces. We …

Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems

S Migórski, AA Khan, S Zeng - Inverse Problems, 2020 - iopscience.iop.org
This paper is devoted to studying an inverse problem of parameter identification in a
nonlinear quasi-hemivariational inequality posed in a Banach space. We employ the Kluge's …

A class of differential hemivariational inequalities in Banach spaces

S Migórski, S Zeng - Journal of Global Optimization, 2018 - Springer
In this paper we investigate an abstract system which consists of a hemivariational inequality
of parabolic type combined with a nonlinear evolution equation in the framework of an …

Hyperbolic hemivariational inequalities controlled by evolution equations with application to adhesive contact model

S Migórski, S Zeng - Nonlinear Analysis: Real World Applications, 2018 - Elsevier
A system which couples an abstract hemivariational inequality of hyperbolic type and an
evolution equation in a Banach space is studied. The global existence of the system is …

Optimal feedback control for a class of fractional evolution equations with history-dependent operators

Y Liu, Z Liu, S Peng, CF Wen - Fractional Calculus and Applied Analysis, 2022 - Springer
In this paper, we will study optimal feedback control problems derived by a class of Riemann-
Liouville fractional evolution equations with history-dependent operators in separable …