Affiliations: [a]
School of Economics and Management, Beijing Institute of Petrochemical Technology, Beijing, China
| [b]
Beijing Academy of Safety Engineering and Technology, Beijing, China
| [c]
School of Information Engineering, Shandong Youth University of Political Science, Jinan, China
Correspondence:
[*]
Corresponding author. Xiao Wang, School of Economics and Management, Beijing Institute of Petrochemical Technology, Beijing Academy of Safety Engineering and Technology, Beijing 102617, China. E-mail: wangxiao2018@bipt.edu.cn.
Abstract: Uncertain delay differential equations are a type of differential equations driven by a Liu process. So far, it has been proved that uncertain delay differential equation has a unique solution in the finite domain, in which its coefficients satisfy the global Lipschitz continuity. This paper continues to focus on the existence and uniqueness of the solutions of uncertain delay differential equations on the infinite domain. Meanwhile, a new existence and uniqueness theorem for uncertain delay differential equations under one-sided local Lipschitz condition and linear growth condition is deduced.
Keywords: Uncertain delay differential equation, existence and uniqueness, one-sided local Lipschitz condition, linear growth condition, infinite domain
