Fei, Chen; Fei, Weiyin; Deng, Shounian; Mao, Xuerong Asymptotic stability in distribution of highly nonlinear stochastic differential equations with \(G\)-Brownian motion. (English) Zbl 1515.60186 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 57, 16 p. (2023). MSC: 60H10 60G65 PDFBibTeX XMLCite \textit{C. Fei} et al., Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 57, 16 p. (2023; Zbl 1515.60186) Full Text: DOI
Fei, Chen; Fei, Weiyin; Mao, Xuerong; Yan, Litan Delay-dependent asymptotic stability of highly nonlinear stochastic differential delay equations driven by \(G\)-Brownian motion. (English) Zbl 1491.93100 J. Franklin Inst. 359, No. 9, 4366-4392 (2022). MSC: 93D20 93E15 93C43 93C23 34K50 93C10 60G65 PDFBibTeX XMLCite \textit{C. Fei} et al., J. Franklin Inst. 359, No. 9, 4366--4392 (2022; Zbl 1491.93100) Full Text: DOI arXiv
Mao, Wei; Hu, Liangjian; Mao, Xuerong Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay. (English) Zbl 1443.60064 Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 3217-3232 (2020). MSC: 60H10 93E15 PDFBibTeX XMLCite \textit{W. Mao} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 3217--3232 (2020; Zbl 1443.60064) Full Text: DOI
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Xia, Dengfeng Advances in the truncated Euler-Maruyama method for stochastic differential delay equations. (English) Zbl 1462.60073 Commun. Pure Appl. Anal. 19, No. 4, 2081-2100 (2020). MSC: 60H10 60J65 PDFBibTeX XMLCite \textit{W. Fei} et al., Commun. Pure Appl. Anal. 19, No. 4, 2081--2100 (2020; Zbl 1462.60073) Full Text: DOI
Mao, Wei; Hu, Liangjian; Mao, Xuerong The asymptotic stability of hybrid stochastic systems with pantograph delay and non-Gaussian Lévy noise. (English) Zbl 1429.93407 J. Franklin Inst. 357, No. 2, 1174-1198 (2020). MSC: 93E15 93D20 93C30 34K50 60H10 93C43 PDFBibTeX XMLCite \textit{W. Mao} et al., J. Franklin Inst. 357, No. 2, 1174--1198 (2020; Zbl 1429.93407) Full Text: DOI Link
Fei, Chen; Fei, Weiyin; Mao, Xuerong; Shen, Mingxuan; Yan, Litan Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations. (English) Zbl 1459.60122 J. Appl. Anal. Comput. 9, No. 3, 1053-1070 (2019). MSC: 60H10 34K20 93E15 PDFBibTeX XMLCite \textit{C. Fei} et al., J. Appl. Anal. Comput. 9, No. 3, 1053--1070 (2019; Zbl 1459.60122) Full Text: DOI
Mao, Wei; Hu, Liangjian; Mao, Xuerong Asymptotic boundedness and stability of solutions to hybrid stochastic differential equations with jumps and the Euler-Maruyama approximation. (English) Zbl 1404.60086 Discrete Contin. Dyn. Syst., Ser. B 24, No. 2, 587-613 (2019). MSC: 60H10 65C30 PDFBibTeX XMLCite \textit{W. Mao} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 2, 587--613 (2019; Zbl 1404.60086) Full Text: DOI
Mao, Wei; Hu, Liangjian; Mao, Xuerong Approximate solutions for a class of doubly perturbed stochastic differential equations. (English) Zbl 1445.60042 Adv. Difference Equ. 2018, Paper No. 37, 17 p. (2018). MSC: 60H10 60H15 60J65 34D10 PDFBibTeX XMLCite \textit{W. Mao} et al., Adv. Difference Equ. 2018, Paper No. 37, 17 p. (2018; Zbl 1445.60042) Full Text: DOI
Mao, Wei; Hu, Liangjian; Mao, Xuerong Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition. (English) Zbl 1422.34238 Adv. Difference Equ. 2017, Paper No. 57, 24 p. (2017). MSC: 34K50 60H10 34K40 65C30 60H35 PDFBibTeX XMLCite \textit{W. Mao} et al., Adv. Difference Equ. 2017, Paper No. 57, 24 p. (2017; Zbl 1422.34238) Full Text: DOI
Liu, Wei; Foondun, Mohammud; Mao, Xuerong Mean square polynomial stability of numerical solutions to a class of stochastic differential equations. (English) Zbl 1294.60094 Stat. Probab. Lett. 92, 173-182 (2014). MSC: 60H35 60H10 PDFBibTeX XMLCite \textit{W. Liu} et al., Stat. Probab. Lett. 92, 173--182 (2014; Zbl 1294.60094) Full Text: DOI arXiv
Bao, Jianhai; Mao, Xuerong; Yuan, Chenggui Lyapunov exponents of hybrid stochastic heat equations. (English) Zbl 1250.93122 Syst. Control Lett. 61, No. 1, 165-172 (2012). MSC: 93E15 60H15 60J10 60J75 PDFBibTeX XMLCite \textit{J. Bao} et al., Syst. Control Lett. 61, No. 1, 165--172 (2012; Zbl 1250.93122) Full Text: DOI arXiv
Mao, X.; Riedle, M. Mean square stability of stochastic Volterra integro-differential equations. (English) Zbl 1129.34332 Syst. Control Lett. 55, No. 6, 459-465 (2006). MSC: 34K20 34K50 93D05 PDFBibTeX XMLCite \textit{X. Mao} and \textit{M. Riedle}, Syst. Control Lett. 55, No. 6, 459--465 (2006; Zbl 1129.34332) Full Text: DOI
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra On pathwise super-exponential decay rates of solutions of scalar nonlinear stochastic differential equations. (English) Zbl 1080.60059 Stochastics 77, No. 3, 241-269 (2005). Reviewer: Tran Nhu Pham (Hanoi) MSC: 60H10 93E15 PDFBibTeX XMLCite \textit{J. A. D. Appleby} et al., Stochastics 77, No. 3, 241--269 (2005; Zbl 1080.60059) Full Text: DOI
Liu, Kai; Mao, Xuerong Large time decay behavior of dynamical equations with random perturbation features. (English) Zbl 0997.93095 Stochastic Anal. Appl. 19, No. 2, 295-327 (2001). Reviewer: Vigirdas Mackevičius (Vilnius) MSC: 93E15 93D20 93D09 34K50 60H10 93C73 PDFBibTeX XMLCite \textit{K. Liu} and \textit{X. Mao}, Stochastic Anal. Appl. 19, No. 2, 295--327 (2001; Zbl 0997.93095) Full Text: DOI
Caraballo, Tomás; Liu, Kai; Mao, Xuerong On stabilization of partial differential equations by noise. (English) Zbl 0986.60058 Nagoya Math. J. 161, 155-170 (2001). Reviewer: Stanisław Wedrychowicz (Rzeszów) MSC: 60H15 93E15 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Nagoya Math. J. 161, 155--170 (2001; Zbl 0986.60058) Full Text: DOI
Liu, Kai; Mao, Xuerong Exponential stability of non-linear stochastic evolution equations. (English) Zbl 0933.60072 Stochastic Processes Appl. 78, No. 2, 173-193 (1998). Reviewer: Jan Seidler (Praha) MSC: 60H15 35R60 93E03 PDFBibTeX XMLCite \textit{K. Liu} and \textit{X. Mao}, Stochastic Processes Appl. 78, No. 2, 173--193 (1998; Zbl 0933.60072) Full Text: DOI