The pth moment asymptotical ultimate boundedness of pantograph stochastic differential equations with time-varying coefficients

被引：6

作者：

Song, Yinfang ^{[1
]}

Zeng, Zhigang ^{[2
,3
]}

Zhang, Tao ^{[1
]}

机构：

[1] Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Artificial Intelligence & Automat, Wuhan 430074, Peoples R China

[3] Educ Minist China, Key Lab Image Proc & Intelligent Control, Wuhan 430074, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 121卷

基金：

中国国家自然科学基金;

关键词：

Asymptotical ultimate boundedness; Pantograph stochastic differential equations; Lyapunov function; Time-varying coefficients; EXPONENTIAL STABILITY; SYSTEMS; CONVERGENCE; UNIQUENESS; EXISTENCE; THEOREMS; DRIVEN;

D O I：

10.1016/j.aml.2021.107449

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article examines the pth moment asymptotical ultimate boundedness of highly nonlinear pantograph stochastic differential equations. By Lyapunov function approach and stochastic analysis techniques, several novel criteria on the pth moment asymptotical boundedness are acquired. The proportional delays and different orders of nonlinearities have been considered and the diffusion operator is allowed to satisfy a weaker assumption including time-varying coefficients, which results in the improvements of the existing theory. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：7

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