Affiliations: [a] School of Economics and Management, Beijing Institute of Petrochemical Technology, Beijing, China
| [b]
Beijing Academy of Safety Engineering and Technology, Beijing, China
Correspondence:
[*]
Corresponding author. Xiao Wang, School of Economics and Management, Beijing Institute of Petrochemical Technology, Beijing Academy of Safety Engineering and Technology, Beijing, China. E-mail: wangxiao2018@bipt.edu.cn.
Abstract: Uncertain pantograph differential equations are an important class of pantograph differential equations driven by uncertain process. This paper investigates two types of stability, namely stability in mean and almost sure stability, for uncertain pantograph differential equations. In detail, the concepts of stability in mean and almost sure stability for uncertain pantograph differential equations are presented. Moreover, we reveal the sufficient conditions for uncertain pantograph differential equations being stable in mean and stable almost surely. Finally, this paper attempts to explore the relationships among stability in mean, almost sure stability as well as stability in measure.
Keywords: Uncertain pantograph differential equation, stability in mean, almost sure stability, uncertainty theory
