AIMS Mathematics, 2020, 5(6): 6169-6182. doi: 10.3934/math.2020396

Research article

Export file:

Format

• RIS(for EndNote,Reference Manager,ProCite)
• BibTex
• Text

Content

• Citation Only
• Citation and Abstract

Boundedness analysis of non-autonomous stochastic differential systems with Lévy noise and mixed delays

1 Department of Mathematics, Zhejiang International Studies University, Hangzhou 310023, PR China
2 Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, PR China

## Abstract    Full Text(HTML)    Figure/Table

The present research studies the boundedness issue of Lévy driven non-autonomous stochastic differential systems with mixed discrete and distributed delays. A set of sufficient conditions of the $p$th moment globally asymptotical boundedness is obtained by combining the Lyapunov function method with the inequality technique. The proposed results reveal that the convergence rate $\lambda$ and the coefficients of the estimates for Lyapunov function $W$ and Itô operator $\mathcal {L}W$ can determine the upper bound for the solution. The presented results are demonstrated by an illustrative example.
Figure/Table
Supplementary
Article Metrics