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 …
variational-hemivariational inequality (DVHVI) which couples an abstract variational …
Sensitivity analysis of optimal control problems driven by dynamic history-dependent variational-hemivariational inequalities
Y Liu, Z Liu, NS Papageorgiou - Journal of Differential Equations, 2023 - Elsevier
The aim of this paper is to investigate a nonlinear optimal control problem governed by a
complicated dynamic variational-hemivariational inequality (DVHVI, for short) with history …
complicated dynamic variational-hemivariational inequality (DVHVI, for short) with history …
[HTML][HTML] New class up and down λ-convex fuzzy-number valued mappings and related fuzzy fractional inequalities
The fuzzy-number valued up and down λ-convex mapping is originally proposed as an
intriguing generalization of the convex mappings. The newly suggested mappings are then …
intriguing generalization of the convex mappings. The newly suggested mappings are then …
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 …
Liouville fractional evolution equations with history-dependent operators in separable …
Nonsmooth dynamical systems: From the existence of solutions to optimal and feedback control
S Zeng, NS Papageorgiou, VD Rǎdulescu - Bulletin des Sciences …, 2022 - Elsevier
In this paper, we investigate a nonlinear and nonsmooth dynamics system (NNDS, for short)
involving two multi-valued maps which are a convex subdifferential operator and a …
involving two multi-valued maps which are a convex subdifferential operator and a …
Existence and convergence results for an elastic frictional contact problem with nonmonotone subdifferential boundary conditions
The goal of this paper is to study a mathematical model of a nonlinear static frictional contact
problem in elasticity with the mixed boundary conditions described by a combination of the …
problem in elasticity with the mixed boundary conditions described by a combination of the …
[HTML][HTML] New class up and down pre-invex fuzzy number valued mappings and related inequalities via fuzzy riemann integrals
Numerous applications of the theory of convex and nonconvex mapping exist in the fields of
applied mathematics and engineering. In this paper, we have defined a new class of …
applied mathematics and engineering. In this paper, we have defined a new class of …
[HTML][HTML] Some Certain Fuzzy Fractional Inequalities for Up and Down ℏ-Pre-Invex via Fuzzy-Number Valued Mappings
In this study, we apply a recently developed idea of up and down fuzzy-ordered relations
between two fuzzy numbers. Here, we consider fuzzy Riemann–Liouville fractional integrals …
between two fuzzy numbers. Here, we consider fuzzy Riemann–Liouville fractional integrals …
[HTML][HTML] Some certain fuzzy aumann integral inequalities for generalized convexity via fuzzy number valued mappings
The topic of convex and nonconvex mapping has many applications in engineering and
applied mathematics. The Aumann and fuzzy Aumann integrals are the most significant …
applied mathematics. The Aumann and fuzzy Aumann integrals are the most significant …
Second order evolutionary problems driven by mixed quasi-variational–hemivariational inequalities
J Zhao, J Chen, Z Liu - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
In this paper we introduce a differential quasi-variational inequality which consists of a
second order partial differential equation involving history-dependent operators and a mixed …
second order partial differential equation involving history-dependent operators and a mixed …