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 …

Sensitivity analysis of optimal control problems described by differential hemivariational inequalities

X Li, Z Liu - SIAM Journal on Control and Optimization, 2018 - SIAM
The aim of this paper is to consider a sensitivity analysis of optimal control problems for a
class of systems governed by differential hemivariational inequalities (DHVIs) on Banach …

Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities

X Pang, X Li, Z Liu - Nonlinear Analysis: Real World Applications, 2023 - Elsevier
The primary objective of this paper is to explore a decay mild solution governed by a class of
dynamical systems, called Hilfer fractional differential variational–hemivariational inequality …

Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions

X Li, Y Li, Z Liu, J Li - Fractional Calculus and Applied Analysis, 2018 - degruyter.com
In this paper, a sensitivity analysis of optimal control problem for a class of systems
described by nonlinear fractional evolution inclusions (NFEIs, for short) on Banach spaces is …

Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities

Y Jiang, Q Song, J Liu - Fractional Calculus and Applied Analysis, 2023 - Springer
This paper studies a sensitivity analysis of optimal control problems for a new class of
systems described by Hilfer fractional differential hemivariational inequalities (HFDHVIs) on …

Sensitivity analysis of optimal control problems governed by nonlinear Hilfer fractional evolution inclusions

Y Jiang, Q Zhang, A Chen, Z Wei - Applied Mathematics & Optimization, 2021 - Springer
This article studies sensitivity properties of optimal control problems that are governed by
nonlinear Hilfer fractional evolution inclusions (NHFEIs) in Hilbert spaces, where the initial …

Solvability and optimal control of fractional differential hemivariational inequalities

G Xue, F Lin, B Qin - Optimization, 2021 - Taylor & Francis
This paper investigates the solvability and the optimal control of fractional differential
hemivariational inequalities (FDHVIs, for short). Firstly, we establish several sufficient …

Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions.

T Jabeen, V Lupulescu - Journal of Nonlinear Sciences & …, 2017 - search.ebscohost.com
Using the techniques of measures of noncompactness and Schauder fixed point theorem,
we present some existence results for mild solutions of a class of nonlocal evolution …

[HTML][HTML] Differential equations with maximal monotone operators

I Benedetti, L Malaguti, MDPM Marques - Journal of Mathematical Analysis …, 2024 - Elsevier
The paper deals with multivalued differential equations in abstract spaces. Nonlocal
conditions are assumed. The model includes an m-dissipative multioperator which …

[HTML][HTML] Periodic solutions for nonlinear differential inclusions with multivalued perturbations

S Qin, X Xue - Journal of Mathematical Analysis and Applications, 2015 - Elsevier
In this paper, the periodic solutions for nonlinear differential inclusion governed by convex
subdifferential and different perturbations are studied. It is firstly proved that the differential …