4 papers · 1 filter
A new class of differential quasivariational inequalities with an application to a quasistatic viscoelastic frictional contact problem
Xu Chu, Tao Chen, Nan-jing Huang +1
The overarching goal of this paper is to introduce and investigate a new nonlinear system driven by a nonlinear differential equation, a history-dependent quasivariational inequali…
On Ekeland's variational principle for interval-valued functions with applications
Chuang-liang Zhang, Nan-jing Huang
In this paper, we obtain a version of Ekeland's variational principle for interval-value functions by means of the Dancs-Hegedus-Medvegyev theorem [14]. We also derive two versions…
A Linear-quadratic Mean-Field Stochastic Stackelberg Differential Game with Random Exit Time
Zhun Gou, Nan-jing Huang, Ming-hui Wang
In this paper, we investigate a new model of a linear-quadratic mean-field stochastic Stackelberg differential game with one leader and two followers, in which the leader is allowe…
Set-valued Ito's formula with an application to the general set-valued backward stochastic differential equation
Yao-jia Zhang, Zhun Gou, Nan-jing Huang
The overarching goal of this paper is to establish a set-valued Itô's formula. As an application, we obtain the existence and uniqueness of solutions for the general set-valued bac…