Chen, Xingzhi; Li, Dong; Tian, Baodan; Yang, Dan Ergodic stationary distribution and extinction of stochastic delay chemostat system with Monod-Haldane functional response and higher-order Lévy jumps. (English) Zbl 1526.34061 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107416, 33 p. (2023). MSC: 34K60 92D25 34K50 34K21 34K20 34K18 34K13 34K25 34K12 60E05 PDFBibTeX XMLCite \textit{X. Chen} et al., Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107416, 33 p. (2023; Zbl 1526.34061) Full Text: DOI
He, Danhua; Xu, Liguang Boundedness analysis of stochastic delay differential equations with Lévy noise. (English) Zbl 1510.34184 Appl. Math. Comput. 421, Article ID 126902, 10 p. (2022). MSC: 34K50 34K12 60E15 PDFBibTeX XMLCite \textit{D. He} and \textit{L. Xu}, Appl. Math. Comput. 421, Article ID 126902, 10 p. (2022; Zbl 1510.34184) Full Text: DOI
Shi, Lili; Liu, Guirong A class of the stochastic predator-prey model with delay and Lévy jump. (Chinese. English summary) Zbl 1449.34294 J. Yunnan Minzu Univ., Nat. Sci. 28, No. 5, 470-474, 490 (2019). MSC: 34K60 34K50 60H10 92D25 34K12 34K25 PDFBibTeX XMLCite \textit{L. Shi} and \textit{G. Liu}, J. Yunnan Minzu Univ., Nat. Sci. 28, No. 5, 470--474, 490 (2019; Zbl 1449.34294) Full Text: DOI
Xu, Liguang; Dai, Zhenlei; Hu, Hongxiao Almost sure and moment asymptotic boundedness of stochastic delay differential systems. (English) Zbl 1428.34124 Appl. Math. Comput. 361, 157-168 (2019). MSC: 34K50 34K12 60H10 PDFBibTeX XMLCite \textit{L. Xu} et al., Appl. Math. Comput. 361, 157--168 (2019; Zbl 1428.34124) Full Text: DOI
Karouf, Monia Reflected solutions of backward doubly SDEs driven by Brownian motion and Poisson random measure. (English) Zbl 1422.60096 Discrete Contin. Dyn. Syst. 39, No. 10, 5571-5601 (2019). MSC: 60H10 60H20 60G55 60G57 34K12 60G40 PDFBibTeX XMLCite \textit{M. Karouf}, Discrete Contin. Dyn. Syst. 39, No. 10, 5571--5601 (2019; Zbl 1422.60096) Full Text: DOI
He, Danhua; Qing, Yin Boundedness theorems for non-autonomous stochastic delay differential systems driven by \(G\)-Brownian motion. (English) Zbl 1408.34061 Appl. Math. Lett. 91, 83-89 (2019). MSC: 34K50 34K12 34K20 60J65 PDFBibTeX XMLCite \textit{D. He} and \textit{Y. Qing}, Appl. Math. Lett. 91, 83--89 (2019; Zbl 1408.34061) Full Text: DOI
Wang, Wentao; Wang, Liqing; Chen, Wei Stochastic Nicholson’s blowflies delayed differential equations. (English) Zbl 1408.34067 Appl. Math. Lett. 87, 20-26 (2019). MSC: 34K60 34K12 92D25 60J65 PDFBibTeX XMLCite \textit{W. Wang} et al., Appl. Math. Lett. 87, 20--26 (2019; Zbl 1408.34067) Full Text: DOI
Karouf, Monia Reflected and doubly reflected backward stochastic differential equations with time-delayed generators. (English) Zbl 1499.60191 J. Theor. Probab. 32, No. 1, 216-248 (2019). MSC: 60H10 34K12 PDFBibTeX XMLCite \textit{M. Karouf}, J. Theor. Probab. 32, No. 1, 216--248 (2019; Zbl 1499.60191) Full Text: DOI
Wang, Lin Global solutions and moment estimate of stochastic delay differential equations with coefficients of polynomial growth. (Chinese. English summary) Zbl 1374.34319 Acta Math. Appl. Sin. 39, No. 5, 775-785 (2016). MSC: 34K50 60H10 34K12 PDFBibTeX XMLCite \textit{L. Wang}, Acta Math. Appl. Sin. 39, No. 5, 775--785 (2016; Zbl 1374.34319)
Feng, Lichao; Li, Shoumei; Zheng, Shiqiu Stochastic suppression of a class of functional differential equations. (Chinese. English summary) Zbl 1374.34318 J. Beijing Univ. Technol. 42, No. 8, 1275-1280 (2016). MSC: 34K50 60H10 34K12 PDFBibTeX XMLCite \textit{L. Feng} et al., J. Beijing Univ. Technol. 42, No. 8, 1275--1280 (2016; Zbl 1374.34318) Full Text: DOI
Raffoul, Youssef N.; Ren, Dan Theorems on boundedness of solutions to stochastic delay differential equations. (English) Zbl 1346.34054 Electron. J. Differ. Equ. 2016, Paper No. 194, 14 p. (2016). MSC: 34K50 60H10 34K12 PDFBibTeX XMLCite \textit{Y. N. Raffoul} and \textit{D. Ren}, Electron. J. Differ. Equ. 2016, Paper No. 194, 14 p. (2016; Zbl 1346.34054) Full Text: EMIS
Karouf, Monia Reflected BSDE’s with discontinuous barrier and time delayed generators. (English) Zbl 1333.60121 ESAIM, Probab. Stat. 19, 194-203 (2015). MSC: 60H10 60H20 34K12 PDFBibTeX XMLCite \textit{M. Karouf}, ESAIM, Probab. Stat. 19, 194--203 (2015; Zbl 1333.60121) Full Text: DOI
Feng, Lichao; Li, Shoumei The almost sure asymptotic stability and boundedness of stochastic functional differential equations with polynomial growth condition. (English) Zbl 1474.34563 Abstr. Appl. Anal. 2014, Article ID 629426, 11 p. (2014). MSC: 34K50 34K12 34K20 60H10 PDFBibTeX XMLCite \textit{L. Feng} and \textit{S. Li}, Abstr. Appl. Anal. 2014, Article ID 629426, 11 p. (2014; Zbl 1474.34563) Full Text: DOI
Vasilova, Maja Asymptotic behavior of a stochastic Gilpin-Ayala predator-prey system with time-dependent delay. (English) Zbl 1305.34122 Math. Comput. Modelling 57, No. 3-4, 764-781 (2013). MSC: 34K12 92D25 34K50 60H10 PDFBibTeX XMLCite \textit{M. Vasilova}, Math. Comput. Modelling 57, No. 3--4, 764--781 (2013; Zbl 1305.34122) Full Text: DOI
Jovanović, Miljana; Vasilova, Maja Dynamics of non-autonomous stochastic Gilpin-Ayala competition model with time-varying delays. (English) Zbl 1302.34122 Appl. Math. Comput. 219, No. 12, 6946-6964 (2013). Reviewer: Alexandra Rodkina (Kingston/Jamaica) MSC: 34K60 34K50 92D25 60H10 34F05 34K12 PDFBibTeX XMLCite \textit{M. Jovanović} and \textit{M. Vasilova}, Appl. Math. Comput. 219, No. 12, 6946--6964 (2013; Zbl 1302.34122) Full Text: DOI
Wang, Lin Existence and uniqueness and moment boundedness of global positive solutions to the stochastic functional differential equations. (Chinese. English summary) Zbl 1299.34263 Appl. Math., Ser. A (Chin. Ed.) 28, No. 2, 189-192 (2013). MSC: 34K50 60H10 34K12 PDFBibTeX XMLCite \textit{L. Wang}, Appl. Math., Ser. A (Chin. Ed.) 28, No. 2, 189--192 (2013; Zbl 1299.34263)
Wu, Fuke; Kloeden, Peter E. Mean-square random attractors of stochastic delay differential equations with random delay. (English) Zbl 1316.34083 Discrete Contin. Dyn. Syst., Ser. B 18, No. 6, 1715-1734 (2013). Reviewer: Yong-Kui Chang (Xi’an) MSC: 34K50 37H10 60H10 34K25 34K12 PDFBibTeX XMLCite \textit{F. Wu} and \textit{P. E. Kloeden}, Discrete Contin. Dyn. Syst., Ser. B 18, No. 6, 1715--1734 (2013; Zbl 1316.34083) Full Text: DOI
Scheutzow, Michael Exponential growth rate for a singular linear stochastic delay differential equation. (English) Zbl 1281.34127 Discrete Contin. Dyn. Syst., Ser. B 18, No. 6, 1683-1696 (2013). MSC: 34K50 60H10 34K12 PDFBibTeX XMLCite \textit{M. Scheutzow}, Discrete Contin. Dyn. Syst., Ser. B 18, No. 6, 1683--1696 (2013; Zbl 1281.34127) Full Text: DOI arXiv
Wu, Zheng; Huang, Hao; Wang, Lianglong Stochastic delay logistic model with Markovian switching. (English) Zbl 1343.34177 Int. J. Inf. Syst. Sci. 8, No. 2, 174-180 (2012). MSC: 34K50 60H10 34K12 92D25 PDFBibTeX XMLCite \textit{Z. Wu} et al., Int. J. Inf. Syst. Sci. 8, No. 2, 174--180 (2012; Zbl 1343.34177)
Guo, Haijun; Hu, Junhao Boundedness of stochastic retarded differential equations. (Chinese. English summary) Zbl 1289.34210 J. Nanjing Univ. Inf. Sci. Technol., Nat. Sci. 4, No. 2, 180-185 (2012). MSC: 34K50 34K12 60H10 PDFBibTeX XMLCite \textit{H. Guo} and \textit{J. Hu}, J. Nanjing Univ. Inf. Sci. Technol., Nat. Sci. 4, No. 2, 180--185 (2012; Zbl 1289.34210)
Bai, Ling; Kai, Zhang Stochastic functional differential equation under regime switching. (English) Zbl 1268.34165 Discrete Dyn. Nat. Soc. 2012, Article ID 206438, 20 p. (2012). MSC: 34K50 60H10 60J27 34K12 34K20 PDFBibTeX XMLCite \textit{L. Bai} and \textit{Z. Kai}, Discrete Dyn. Nat. Soc. 2012, Article ID 206438, 20 p. (2012; Zbl 1268.34165) Full Text: DOI
Bao, Jianhai; Yuan, Chenggui Comparison theorem for stochastic differential delay equations with jumps. (English) Zbl 1230.34068 Acta Appl. Math. 116, No. 2, 119-132 (2011). MSC: 34K50 34K12 60H10 PDFBibTeX XMLCite \textit{J. Bao} and \textit{C. Yuan}, Acta Appl. Math. 116, No. 2, 119--132 (2011; Zbl 1230.34068) Full Text: DOI arXiv
Hu, Yangzi; Wu, Fuke A class of stochastic functional differential equations with Markovian switching. (English) Zbl 1220.60033 J. Integral Equations Appl. 23, No. 2, 223-252 (2011). MSC: 60H10 34A34 34K12 34K50 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{F. Wu}, J. Integral Equations Appl. 23, No. 2, 223--252 (2011; Zbl 1220.60033) Full Text: DOI Euclid
Wu, Fuke; Hu, Shigeng A study of a class of nonlinear stochastic delay differential equations. (English) Zbl 1210.34113 Stoch. Dyn. 10, No. 1, 97-118 (2010). Reviewer: Michael Scheutzow (Berlin) MSC: 34K50 34K05 60H10 34K12 PDFBibTeX XMLCite \textit{F. Wu} and \textit{S. Hu}, Stoch. Dyn. 10, No. 1, 97--118 (2010; Zbl 1210.34113) Full Text: DOI
Xu, Yong; Wu, Fuke; Hu, Shigeng Global solutions and boundedness of stochastic functional Kolmogorov system with infinite delay. (English) Zbl 1186.60055 Stoch. Dyn. 9, No. 2, 315-333 (2009). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 60H10 34K50 34K12 PDFBibTeX XMLCite \textit{Y. Xu} et al., Stoch. Dyn. 9, No. 2, 315--333 (2009; Zbl 1186.60055) Full Text: DOI
Bogachev, Leonid; Derfel, Gregory; Molchanov, Stanislav; Ockendon, John On bounded solutions of the balanced generalized pantograph equation. (English) Zbl 1149.34342 Chow, Pao-Liu (ed.) et al., Topics in stochastic analysis and nonparametric analysis. Papers presented at the conference ‘Asympototic analysis in stochastic processes, nonparametric estimation, and related problems’, Detroit, MI, USA, September 15–17, 2006. Dedicated to Professor Rafail Z. Khasminskii on the occasion on the 75th birthday. New York, NY: Springer (ISBN 978-0-387-75110-8/hbk). The IMA Volumes in Mathematics and its Applications 145, 29-49 (2008). MSC: 34K12 34K06 60Jxx PDFBibTeX XMLCite \textit{L. Bogachev} et al., IMA Vol. Math. Appl. 145, 29--49 (2008; Zbl 1149.34342) Full Text: arXiv
Mao, Xuerong; Rassias, Matina John Khasminskii-type theorems for stochastic differential delay equations. (English) Zbl 1082.60055 Stochastic Anal. Appl. 23, No. 5, 1045-1069 (2005). Reviewer: Rainer Buckdahn (Brest) MSC: 60H10 34K50 34K12 60J65 PDFBibTeX XMLCite \textit{X. Mao} and \textit{M. J. Rassias}, Stochastic Anal. Appl. 23, No. 5, 1045--1069 (2005; Zbl 1082.60055) Full Text: DOI
Appleby, John A. D. Decay and growth rates of solutions of scalar stochastic delay differential equations with unbounded delay and state-dependent noise. (English) Zbl 1078.34059 Stoch. Dyn. 5, No. 2, 133-147 (2005). MSC: 34K50 34K12 60H10 PDFBibTeX XMLCite \textit{J. A. D. Appleby}, Stoch. Dyn. 5, No. 2, 133--147 (2005; Zbl 1078.34059) Full Text: DOI
Vvedenskaya, N. D.; Sukhov, Yu. M. Functional equations in asymptotic problems of queueing theory. (English) Zbl 1205.90070 J. Math. Sci., New York 120, No. 3, 1255-1276 (2004); translation from Tr. Semin. Im. I. G. Petrovskogo 23, 28-60 (2003). MSC: 90B18 90B22 34K12 35F15 35R10 60K25 PDFBibTeX XMLCite \textit{N. D. Vvedenskaya} and \textit{Yu. M. Sukhov}, J. Math. Sci., New York 120, No. 3, 1255--1276 (2003; Zbl 1205.90070); translation from Tr. Semin. Im. I. G. Petrovskogo 23, 28--60 (2003) Full Text: DOI
Maizenberg, T. L. Solutions of hereditary stochastic equations: a comparison. (English. Russian original) Zbl 1092.34576 Autom. Remote Control 62, No. 5, 758-761 (2001); translation from Avtom. Telemekh. 2001, No. 5, 89-93 (2001). MSC: 34K50 34K12 60H10 PDFBibTeX XMLCite \textit{T. L. Maizenberg}, Autom. Remote Control 62, No. 5, 758--761 (2001; Zbl 1092.34576); translation from Avtom. Telemekh. 2001, No. 5, 89--93 (2001) Full Text: DOI
Rong, Haiwu; Meng, Guang; Xu, Wei; Fang, Tong Comparison principle and the stability of time-delay stochastic systems. (Chinese. English summary) Zbl 0957.34071 J. Syst. Sci. Math. Sci. 19, No. 2, 230-235 (1999). MSC: 34K50 34K20 60H10 34K12 PDFBibTeX XMLCite \textit{H. Rong} et al., J. Syst. Sci. Math. Sci. 19, No. 2, 230--235 (1999; Zbl 0957.34071)