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

作     者：Song, Yinfang Zeng, Zhigang Zhang, Tao 

作者机构：Yangtze Univ Sch Informat & Math Jingzhou 434023 Peoples R China Huazhong Univ Sci & Technol Sch Artificial Intelligence & Automat Wuhan 430074 Peoples R China Educ Minist China Key Lab Image Proc & Intelligent Control Wuhan 430074 Peoples R China 

出 版 物：《APPLIED MATHEMATICS LETTERS》 (应用数学快报)

年 卷 期：2021年第121卷

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：National Natural Science Foundation of China [62076039  61803046  61673006  62076106  61773401] 

主　　题：Asymptotical ultimate boundedness Pantograph stochastic differential equations Lyapunov function Time-varying coefficients 

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.