5 papers
Qualitative properties of solutions to a fractional pseudo-parabolic equation with singular potential
Xiang-kun Shao, Nan-jing Huang, Xue-song Li
This paper investigates the initial boundary value problem for a fractional pseudo-parabolic equation with singular potential. The global existence and blow-up of solutions to the…
Continuous and discrete-time accelerated methods for an inequality constrained convex optimization problem
Juan Liu, Nan-Jing Huang, Xian-Jun Long +1
This paper is devoted to the study of acceleration methods for an inequality constrained convex optimization problem by using Lyapunov functions. We first approximate such a proble…
Asymptotic behavior for a finitely degenerate semilinear pseudo-parabolic equation
Xiang-kun Shao, Xue-song Li, Nan-jing Huang +1
This paper investigates the initial boundary value problem of a finitely degenerate semilinear pseudo-parabolic equation associated with Hörmander's operator. Based on the global e…
Finite-time and fixed-time consensus control of multi-agent systems driven by parabolic partial differential equations
Xu-hui Wang, Xue-song Li, Nan-jing Huang
This paper focuses on the study of the finite-time consensus (FTC) and fixed-time consensus (FXC) issues of multi-agent systems (MASs) driven by parabolic partial differential equa…
Stochastic differential variational inequalities with applications
Yao-Jia Zhang, Tao Chen, Nan-jing Huang +1
In this paper, we introduce and study a stochastic differential variational inequality (SDVI) which consists of a stochastic differential equation and a stochastic variational ineq…