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Author ID: yuan.chenggui Recent zbMATH articles by "Yuan, Chenggui"
Published as: Yuan, Chenggui; Yuan, Cheng-gui; Yuan, Cheng Gui; Yuan, C.
Homepage: https://www.swansea.ac.uk/staff/c.yuan/
External Links: MGP · Google Scholar · ResearchGate · dblp · IdRef
Documents Indexed: 137 Publications since 1993, including 2 Books
Reviewing Activity: 1 Review
Co-Authors: 64 Co-Authors with 130 Joint Publications
2,239 Co-Co-Authors
all top 5

Serials

10 Stochastic Analysis and Applications
7 Stochastic Processes and their Applications
6 Journal of Mathematical Analysis and Applications
6 Journal of Computational and Applied Mathematics
5 Systems & Control Letters
4 Hunan Annals of Mathematics
4 Journal of Theoretical Probability
4 Stochastics
3 IEEE Transactions on Automatic Control
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 SIAM Journal on Control and Optimization
3 Statistics & Probability Letters
3 Electronic Journal of Probability
3 Discrete and Continuous Dynamical Systems. Series B
3 Advances in Difference Equations
3 Open Mathematics
2 Applied Mathematics and Computation
2 Automatica
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Numerical Analysis
2 Acta Applicandae Mathematicae
2 Fractional Calculus & Applied Analysis
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
2 Communications on Pure and Applied Analysis
2 Scientia Sinica. Mathematica
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Journal of Applied Probability
1 Journal of Differential Equations
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Numerische Mathematik
1 Quarterly of Applied Mathematics
1 Zeitschrift für Analysis und ihre Anwendungen
1 Insurance Mathematics & Economics
1 Chinese Journal of Applied Probability and Statistics
1 Annals of Differential Equations
1 Journal of Applied Mathematics and Stochastic Analysis
1 Numerical Algorithms
1 International Journal of Computer Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Potential Analysis
1 Applied Mathematics. Series B (English Edition)
1 Filomat
1 Bulletin des Sciences Mathématiques
1 Journal of Difference Equations and Applications
1 Bernoulli
1 Discrete and Continuous Dynamical Systems
1 European Journal of Control
1 Functional Differential Equations
1 Abstract and Applied Analysis
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Chaos
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 The ANZIAM Journal
1 Journal of Evolution Equations
1 Stochastic Models
1 Stochastics and Dynamics
1 Journal of Biological Dynamics
1 Frontiers of Mathematics in China
1 Acta Mathematica Sinica. Chinese Series
1 Applied Mathematical Sciences (Ruse)
1 Nonlinear Analysis. Hybrid Systems
1 Journal of Nonlinear Science and Applications
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Bulletin of Mathematical Sciences
1 Journal of Mathematical Research with Applications
1 SpringerBriefs in Mathematics

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 2,623 times in 1,708 Documents Cited by Year
Stochastic differential equations with Markovian switching. Zbl 1126.60002
Mao, Xuerong; Yuan, Chenggui
747
2006
Competitive Lotka-Volterra population dynamics with jumps. Zbl 1228.93112
Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui
179
2011
Stochastic population dynamics driven by Lévy noise. Zbl 1316.92063
Bao, Jianhai; Yuan, Chenggui
140
2012
Robust stability and controllability of stochastic differential delay equations with Markovian switching. Zbl 1040.93069
Yuan, Chenggui; Mao, Xuerong
114
2004
Stabilization and destabilization of hybrid systems of stochastic differential equations. Zbl 1111.93082
Mao, Xuerong; Yin, G. George; Yuan, Chenggui
99
2007
Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations. Zbl 1144.65005
Higham, Desmond J.; Mao, Xuerong; Yuan, Chenggui
95
2007
Stochastic differential delay equations of population dynamics. Zbl 1062.92055
Mao, Xuerong; Yuan, Chenggui; Zou, Jiezhong
83
2005
Asymptotic stability in distribution of stochastic differential equations with Markovian switching. Zbl 1075.60541
Yuan, Chenggui; Mao, Xuerong
81
2003
Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching. Zbl 1143.60041
Mao, Xuerong; Shen, Yi; Yuan, Chenggui
73
2008
Stabilization of a class of stochastic differential equations with Markovian switching. Zbl 1129.93517
Yuan, Chenggui; Lygeros, John
54
2005
Convergence of the Euler–Maruyama method for stochastic differential equations with Markovian switching. Zbl 1044.65007
Yuan, Chenggui; Mao, Xuerong
46
2004
Two-time-scale stochastic partial differential equations driven by \(\alpha\)-stable noises: averaging principles. Zbl 1360.60118
Bao, Jianhai; Yin, George; Yuan, Chenggui
40
2017
Stability in distribution of neutral stochastic differential delay equations with Markovian switching. Zbl 1175.34103
Bao, Jianhai; Hou, Zhenting; Yuan, Chenggui
37
2009
Harnack inequalities for functional SDEs with multiplicative noise and applications. Zbl 1227.60080
Wang, Feng-Yu; Yuan, Chenggui
35
2011
Stability in distribution of stochastic differential delay equations with Markovian switching. Zbl 1157.60330
Yuan, Chenggui; Zou, Jiezhong; Mao, Xuerong
32
2003
Numerical method for stationary distribution of stochastic differential equations with Markovian switching. Zbl 1066.65016
Mao, Xuerong; Yuan, Chenggui; Yin, G.
30
2005
Stability in distribution of mild solutions to stochastic partial differential delay equations with jumps. Zbl 1186.60057
Bao, Jianhai; Truman, Aubrey; Yuan, Chenggui
24
2009
Ergodicity for functional stochastic differential equations and applications. Zbl 1292.60058
Bao, Jianhai; Yin, George; Yuan, Chenggui
24
2014
Large deviations for neutral functional SDEs with jumps. Zbl 1319.60124
Bao, Jianhai; Yuan, Chenggui
22
2015
Stability of stochastic delay hybrid systems with jumps. Zbl 1216.93095
Yuan, Chenggui; Mao, Xuerong
22
2010
Approximations of Euler-Maruyama type for stochastic differential equations with Markovian switching, under non-Lipschitz conditions. Zbl 1121.65011
Mao, Xuerong; Yuan, Chenggui; Yin, G.
22
2007
Comparison theorem for stochastic differential delay equations with jumps. Zbl 1230.34068
Bao, Jianhai; Yuan, Chenggui
20
2011
Convergence rate of numerical solutions to SFDEs with jumps. Zbl 1236.65005
Bao, Jianhai; Böttcher, Björn; Mao, Xuerong; Yuan, Chenggui
20
2011
Convergence rate of EM scheme for SDDEs. Zbl 1277.65006
Bao, Jianhai; Yuan, Chenggui
20
2013
Approximation of invariant measures for regime-switching diffusions. Zbl 1342.60087
Bao, Jianhai; Shao, Jinghai; Yuan, Chenggui
19
2016
Preserving exponential mean-square stability in the simulation of hybrid stochastic differential equations. Zbl 1137.65007
Higham, Desmond J.; Mao, Xuerong; Yuan, Chenggui
18
2007
Exponential stability of energy solutions to stochastic partial differential equations with variable delays and jumps. Zbl 1185.60069
Hou, Zhenting; Bao, Jianhai; Yuan, Chenggui
18
2010
Stochastic differential delay equations with jumps, under nonlinear growth condition. Zbl 1191.60081
Jacob, Niels; Wang, Yongtian; Yuan, Chenggui
18
2009
Approximate solutions of stochastic differential delay equations with Markovian switching. Zbl 1098.65005
Yuan, Chenggui; Glover, William
17
2006
Stability in distribution of mild solutions to stochastic partial differential equations. Zbl 1195.60087
Bao, Jianhai; Hou, Zhenting; Yuan, Chenggui
17
2010
Euler-Maruyama approximations in mean-reverting stochastic volatility model under regime-switching. Zbl 1147.60320
Mao, Xuerong; Truman, Aubrey; Yuan, Chenggui
17
2006
Transportation cost inequalities for neutral functional stochastic equations. Zbl 1290.65004
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
17
2013
Bismut formulae and applications for functional SPDEs. Zbl 1281.60058
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
16
2013
Stability in distribution of numerical solutions for stochastic differential equations. Zbl 1071.60062
Yuan, Chenggui; Mao, Xuerong
15
2004
Approximation methods for hybrid diffusion systems with state-dependent switching processes: numerical algorithms and existence and uniqueness of solutions. Zbl 1208.65019
Yin, G.; Mao, Xuerong; Yuan, Chenggui; Cao, Dingzhou
14
2010
Numerical solutions of stochastic differential delay equations with jumps. Zbl 1168.60356
Jacob, Niels; Wang, Yongtian; Yuan, Chenggui
14
2009
Exponential stability of the exact solutions and \(\theta\)-EM approximations to neutral SDDEs with Markov switching. Zbl 1319.60128
Lan, Guangqiang; Yuan, Chenggui
14
2015
Almost sure asymptotic stability of stochastic partial differential equations with jumps. Zbl 1222.60045
Bao, Jianhai; Truman, Aubrey; Yuan, Chenggui
13
2011
Stationary distributions of Euler-Maruyama-type stochastic difference equations with Markovian switching and their convergence. Zbl 1076.65012
Yuan, C.; Mao, X.
13
2005
Comparison theorem of one-dimensional stochastic hybrid delay systems. Zbl 1130.60065
Yang, Zhe; Mao, Xuerong; Yuan, Chenggui
12
2008
Harnack inequalities for stochastic (functional) differential equations with non-Lipschitzian coefficients. Zbl 1287.60074
Shao, Jinghai; Wang, Feng-Yu; Yuan, Chenggui
12
2012
A note on the rate of convergence of the Euler-Maruyama method for stochastic differential equations. Zbl 1136.60040
Yuan, Chenggui; Mao, Xuerong
12
2008
Asymptotic log-Harnack inequality and applications for stochastic systems of infinite memory. Zbl 1433.60032
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
12
2019
Exponential ergodicity for retarded stochastic differential equations. Zbl 1314.60110
Bao, Jianhai; Yin, George; Yuan, Chenggui; Wang, Le Yi
11
2014
On the exponential stability of switching diffusion processes. Zbl 1365.93432
Yuan, Chenggui; Lygeros, John
11
2005
The numerical invariant measure of stochastic differential equations with Markovian switching. Zbl 1388.60098
Li, Xiaoyue; Ma, Qianlin; Yang, Hongfu; Yuan, Chenggui
11
2018
Derivative formula and Harnack inequality for degenerate functional SDEs. Zbl 1262.60052
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
10
2013
Numerical analysis for neutral SPDEs driven by {\(\alpha\)}-stable processes. Zbl 1322.65013
Bao, Jianhai; Yuan, Chenggui
9
2014
Blow-up for stochastic reaction-diffusion equations with jumps. Zbl 1341.60061
Bao, Jianhai; Yuan, Chenggui
9
2016
Approximate controllability of impulsive fractional stochastic differential equations with state-dependent delay. Zbl 1343.93019
Zhang, Xiaozhi; Zhu, Chuanxi; Yuan, Chenggui
9
2015
Stability of hybrid stochastic delay systems whose discrete components have a large state space: a two-time-scale approach. Zbl 1200.93136
Yuan, Chenggui; Yin, G.
9
2010
Hypercontractivity for functional stochastic differential equations. Zbl 1327.60093
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
8
2015
Lyapunov exponents of hybrid stochastic heat equations. Zbl 1250.93122
Bao, Jianhai; Mao, Xuerong; Yuan, Chenggui
7
2012
Asymptotic analysis for functional stochastic differential equations. Zbl 06630614
Bao, Jianhai; Yin, George; Yuan, Chenggui
7
2016
Long-term behavior of stochastic interest rate models with jumps and memory. Zbl 1284.91558
Bao, Jianhai; Yuan, Chenggui
7
2013
Hypercontractivity for functional stochastic partial differential equations. Zbl 1328.60145
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
7
2015
Stationary distributions for retarded stochastic differential equations without dissipativity. Zbl 1379.60059
Bao, Jianhai; Yin, George; Yuan, Chenggui
7
2017
Dynamical behaviors of the tumor-immune system in a stochastic environment. Zbl 1439.92065
Li, Xiaoyue; Song, Guoting; Xia, Yang; Yuan, Chenggui
7
2019
Asymptotic stability and boundedness of delay switching diffusions. Zbl 1366.93453
Yuan, Chenggui; Lygeros, John
7
2006
Stochastic hybrid delay population dynamics: well-posed models and extinction. Zbl 1155.92044
Yuan, Chenggui; Mao, Xuerong; Lygeros, John
6
2009
On the exponential stability of switching-diffusion processes with jumps. Zbl 1274.60209
Yuan, Chenggui; Bao, Jianhai
6
2013
Convergence rate of Euler-Maruyama scheme for SDEs with Hölder-Dini continuous drifts. Zbl 1433.60072
Bao, Jianhai; Huang, Xing; Yuan, Chenggui
6
2019
On the asymptotic behavior for neutral stochastic differential delay equations. Zbl 1482.34170
Chen, Huabin; Yuan, Chenggui
6
2019
Razumikhin-type theorem on time-changed stochastic functional differential equations with Markovian switching. Zbl 1490.34082
Zhang, Xiaozhi; Yuan, Chenggui
6
2019
Poincaré inequality on the path space of Poisson point processes. Zbl 1280.60029
Wang, Feng-Yu; Yuan, Chenggui
5
2010
Numerical approximation of stationary distributions for stochastic partial differential equations. Zbl 1314.60124
Bao, Jianhai; Yuan, Chenggui
5
2014
Strong convergence of a tamed theta scheme for NSDDEs with one-sided Lipschitz drift. Zbl 1427.65010
Tan, Li; Yuan, Chenggui
5
2018
Delay feedback control for switching diffusion systems based on discrete-time observations. Zbl 07268419
Li, Xiaoyue; Mao, Xuerong; Mukama, Denis S.; Yuan, Chenggui
5
2020
Stability in terms of two measures for stochastic differential equations. Zbl 1047.34064
Yuan, Chenggui
4
2003
Stabilization of partial differential equations by Lévy noise. Zbl 1251.60050
Bao, Jianhai; Yuan, Chenggui
4
2012
Attraction and stochastic asymptotic stability and boundedness of stochastic functional differential equations with respect to semimartingales. Zbl 1121.60065
Yuan, Chenggui; Mao, Xuerong
4
2006
A Zvonkin’s transformation for stochastic differential equations with singular drift and applications. Zbl 1491.60092
Zhang, Shao-Qin; Yuan, Chenggui
4
2021
Fixed point results for cyclic contractions in Menger PM-spaces and generalized Menger PM-spaces. Zbl 06859083
Wu, Zhaoqi; Zhu, Chuanxi; Yuan, Chenggui
4
2018
Comparison theorem for distribution-dependent neutral SFDEs. Zbl 1468.65008
Huang, Xing; Yuan, Chenggui
4
2021
Limit theorems for additive functionals of path-dependent SDEs. Zbl 1457.60042
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
4
2020
Strong convergence of neutral stochastic functional differential equations with two time-scales. Zbl 1488.60144
Hu, Junhao; Yuan, Chenggui
4
2019
Tamed EM scheme of neutral stochastic differential delay equations. Zbl 1370.65002
Ji, Yanting; Yuan, Chenggui
4
2017
Ergodicity for neutral type SDEs with infinite length of memory. Zbl 07261811
Bao, Jianhai; Wang, Feng-yu; Yuan, Chenggui
4
2020
Existence and uniqueness for a class of stochastic time fractional space pseudo-differential equations. Zbl 1381.35260
Hu, Ke; Jacob, Niels; Yuan, Chenggui
3
2016
Transportation-cost inequalities for diffusions with jumps and its application to regime-switching processes. Zbl 1322.60096
Shao, Jinghai; Yuan, Chenggui
3
2015
Lyapunov exponents of PDEs driven by fractional noise with Markovian switching. Zbl 1336.60119
Fan, Xiliang; Yuan, Chenggui
3
2016
Approximate controllability of fractional impulsive evolution systems involving nonlocal initial conditions. Zbl 1422.93021
Zhang, Xiaozhi; Zhu, Chuanxi; Yuan, Chenggui
3
2015
Transient distribution of the length of \(GI/G/N\) queueing systems. Zbl 1054.60095
Hou, Zhenting; Yuan, Chenggui; Zou, Jiezhong; Liu, Zaiming; Luo, Jiaowan; Liu, Guoxin; Shi, Peng
3
2003
Ergodicity and strong limit results for two-time-scale functional stochastic differential equations. Zbl 1388.60076
Bao, Jianhai; Song, Qingshuo; Yin, George; Yuan, Chenggui
3
2017
On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations. Zbl 1420.60077
Zhang, Tian; Chen, Huabin; Yuan, Chenggui; Caraballo, Tomás
3
2019
Stability in terms of two measures for stochastic differential equations with Markovian switching. Zbl 1125.60056
Yuan, Chenggui
2
2005
Stability in distribution of Markov-modulated stochastic differential delay equations with reflection. Zbl 1342.60088
Bo, Lijun; Yuan, Chenggui
2
2016
On an equation being a fractional differential equation with respect to time and a pseudo-differential equation with respect to space related to Lévy-type processes. Zbl 1308.35321
Hu, Ke; Jacob, Niels; Yuan, Chenggui
2
2012
Asymptotic stability and boundedness of stochastic differential equations with respect to semimartingales. Zbl 1056.93069
Yuan, Chenggui; Mao, Xuerong
2
2003
Strong convergence rate of truncated Euler-Maruyama method for stochastic differential delay equations with Poisson jumps. Zbl 1469.60182
Gao, Shuaibin; Hu, Junhao; Tan, Li; Yuan, Chenggui
2
2021
Razumikhin-type theorems on exponential stability of SDDEs containing singularly perturbed random processes. Zbl 1279.60069
Hu, Junhao; Mao, Xuerong; Yuan, Chenggui
2
2013
Numerical solutions of neutral stochastic functional differential equations with Markovian switching. Zbl 1458.65009
Hu, Yuru; Chen, Huabin; Yuan, Chenggui
2
2019
Neutral stochastic differential delay equations with locally monotone coefficients. Zbl 1365.34138
Ji, Yanting; Song, Qingshuo; Yuan, Chenggui
2
2017
Stability of hybrid pantograph stochastic functional differential equations. Zbl 1485.93616
Wu, Hao; Hu, Junhao; Yuan, Chenggui
2
2022
Stability of regime-switching processes under perturbation of transition rate matrices. Zbl 1427.60166
Shao, Jinghai; Yuan, Chenggui
2
2019
Asymptotic stability and boundedness of delay switching diffusions. Zbl 1135.93366
Yuan, Chenggui; Lygeros, John
1
2004
Stochastic hybrid delay population dynamics. Zbl 1178.92045
Lygeros, John; Mao, Xuerong; Yuan, Chenggui
1
2006
A note on stability in distribution of Markov-modulated stochastic differential equations with reflection. Zbl 1222.60040
Bo, Lijun; Yuan, Chenggui
1
2011
New regularity of Kolmogorov equation and application on approximation of semi-linear SPDEs with Hölder continuous drifts. Zbl 1401.60120
Bao, Jianhai; Huang, Xing; Yuan, Chenggui
1
2019
Transportation cost inequalities for SDEs with irregular drifts. Zbl 1485.60057
Suo, Yongqiang; Yuan, Chenggui; Zhang, Shao-Qin
1
2022
Stability of hybrid pantograph stochastic functional differential equations. Zbl 1485.93616
Wu, Hao; Hu, Junhao; Yuan, Chenggui
2
2022
Transportation cost inequalities for SDEs with irregular drifts. Zbl 1485.60057
Suo, Yongqiang; Yuan, Chenggui; Zhang, Shao-Qin
1
2022
Weak convergence of Euler scheme for SDEs with low regular drift. Zbl 1496.65011
Suo, Yongqiang; Yuan, Chenggui; Zhang, Shao-Qin
1
2022
A Zvonkin’s transformation for stochastic differential equations with singular drift and applications. Zbl 1491.60092
Zhang, Shao-Qin; Yuan, Chenggui
4
2021
Comparison theorem for distribution-dependent neutral SFDEs. Zbl 1468.65008
Huang, Xing; Yuan, Chenggui
4
2021
Strong convergence rate of truncated Euler-Maruyama method for stochastic differential delay equations with Poisson jumps. Zbl 1469.60182
Gao, Shuaibin; Hu, Junhao; Tan, Li; Yuan, Chenggui
2
2021
Delay feedback control for switching diffusion systems based on discrete-time observations. Zbl 07268419
Li, Xiaoyue; Mao, Xuerong; Mukama, Denis S.; Yuan, Chenggui
5
2020
Limit theorems for additive functionals of path-dependent SDEs. Zbl 1457.60042
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
4
2020
Ergodicity for neutral type SDEs with infinite length of memory. Zbl 07261811
Bao, Jianhai; Wang, Feng-yu; Yuan, Chenggui
4
2020
Large deviations for neutral stochastic functional differential equations. Zbl 1434.60079
Suo, Yongqiang; Yuan, Chenggui
1
2020
Asymptotic log-Harnack inequality and applications for stochastic systems of infinite memory. Zbl 1433.60032
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
12
2019
Dynamical behaviors of the tumor-immune system in a stochastic environment. Zbl 1439.92065
Li, Xiaoyue; Song, Guoting; Xia, Yang; Yuan, Chenggui
7
2019
Convergence rate of Euler-Maruyama scheme for SDEs with Hölder-Dini continuous drifts. Zbl 1433.60072
Bao, Jianhai; Huang, Xing; Yuan, Chenggui
6
2019
On the asymptotic behavior for neutral stochastic differential delay equations. Zbl 1482.34170
Chen, Huabin; Yuan, Chenggui
6
2019
Razumikhin-type theorem on time-changed stochastic functional differential equations with Markovian switching. Zbl 1490.34082
Zhang, Xiaozhi; Yuan, Chenggui
6
2019
Strong convergence of neutral stochastic functional differential equations with two time-scales. Zbl 1488.60144
Hu, Junhao; Yuan, Chenggui
4
2019
On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations. Zbl 1420.60077
Zhang, Tian; Chen, Huabin; Yuan, Chenggui; Caraballo, Tomás
3
2019
Numerical solutions of neutral stochastic functional differential equations with Markovian switching. Zbl 1458.65009
Hu, Yuru; Chen, Huabin; Yuan, Chenggui
2
2019
Stability of regime-switching processes under perturbation of transition rate matrices. Zbl 1427.60166
Shao, Jinghai; Yuan, Chenggui
2
2019
New regularity of Kolmogorov equation and application on approximation of semi-linear SPDEs with Hölder continuous drifts. Zbl 1401.60120
Bao, Jianhai; Huang, Xing; Yuan, Chenggui
1
2019
Convergence rates of theta-method for NSDDEs under non-globally Lipschitz continuous coefficients. Zbl 07365323
Tan, Li; Yuan, Chenggui
1
2019
The numerical invariant measure of stochastic differential equations with Markovian switching. Zbl 1388.60098
Li, Xiaoyue; Ma, Qianlin; Yang, Hongfu; Yuan, Chenggui
11
2018
Strong convergence of a tamed theta scheme for NSDDEs with one-sided Lipschitz drift. Zbl 1427.65010
Tan, Li; Yuan, Chenggui
5
2018
Fixed point results for cyclic contractions in Menger PM-spaces and generalized Menger PM-spaces. Zbl 06859083
Wu, Zhaoqi; Zhu, Chuanxi; Yuan, Chenggui
4
2018
Two-time-scale stochastic partial differential equations driven by \(\alpha\)-stable noises: averaging principles. Zbl 1360.60118
Bao, Jianhai; Yin, George; Yuan, Chenggui
40
2017
Stationary distributions for retarded stochastic differential equations without dissipativity. Zbl 1379.60059
Bao, Jianhai; Yin, George; Yuan, Chenggui
7
2017
Tamed EM scheme of neutral stochastic differential delay equations. Zbl 1370.65002
Ji, Yanting; Yuan, Chenggui
4
2017
Ergodicity and strong limit results for two-time-scale functional stochastic differential equations. Zbl 1388.60076
Bao, Jianhai; Song, Qingshuo; Yin, George; Yuan, Chenggui
3
2017
Neutral stochastic differential delay equations with locally monotone coefficients. Zbl 1365.34138
Ji, Yanting; Song, Qingshuo; Yuan, Chenggui
2
2017
Fixed point results for \((\alpha, \eta, \psi, \xi)\)-contractive multi-valued mappings in Menger PM-spaces and their applications. Zbl 1477.54164
Wu, Zhaoqi; Zhu, Chuanxi; Yuan, Chenggui
1
2017
Approximation of invariant measures for regime-switching diffusions. Zbl 1342.60087
Bao, Jianhai; Shao, Jinghai; Yuan, Chenggui
19
2016
Blow-up for stochastic reaction-diffusion equations with jumps. Zbl 1341.60061
Bao, Jianhai; Yuan, Chenggui
9
2016
Asymptotic analysis for functional stochastic differential equations. Zbl 06630614
Bao, Jianhai; Yin, George; Yuan, Chenggui
7
2016
Existence and uniqueness for a class of stochastic time fractional space pseudo-differential equations. Zbl 1381.35260
Hu, Ke; Jacob, Niels; Yuan, Chenggui
3
2016
Lyapunov exponents of PDEs driven by fractional noise with Markovian switching. Zbl 1336.60119
Fan, Xiliang; Yuan, Chenggui
3
2016
Stability in distribution of Markov-modulated stochastic differential delay equations with reflection. Zbl 1342.60088
Bo, Lijun; Yuan, Chenggui
2
2016
Large deviations for neutral functional SDEs with jumps. Zbl 1319.60124
Bao, Jianhai; Yuan, Chenggui
22
2015
Exponential stability of the exact solutions and \(\theta\)-EM approximations to neutral SDDEs with Markov switching. Zbl 1319.60128
Lan, Guangqiang; Yuan, Chenggui
14
2015
Approximate controllability of impulsive fractional stochastic differential equations with state-dependent delay. Zbl 1343.93019
Zhang, Xiaozhi; Zhu, Chuanxi; Yuan, Chenggui
9
2015
Hypercontractivity for functional stochastic differential equations. Zbl 1327.60093
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
8
2015
Hypercontractivity for functional stochastic partial differential equations. Zbl 1328.60145
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
7
2015
Transportation-cost inequalities for diffusions with jumps and its application to regime-switching processes. Zbl 1322.60096
Shao, Jinghai; Yuan, Chenggui
3
2015
Approximate controllability of fractional impulsive evolution systems involving nonlocal initial conditions. Zbl 1422.93021
Zhang, Xiaozhi; Zhu, Chuanxi; Yuan, Chenggui
3
2015
Ergodicity for functional stochastic differential equations and applications. Zbl 1292.60058
Bao, Jianhai; Yin, George; Yuan, Chenggui
24
2014
Exponential ergodicity for retarded stochastic differential equations. Zbl 1314.60110
Bao, Jianhai; Yin, George; Yuan, Chenggui; Wang, Le Yi
11
2014
Numerical analysis for neutral SPDEs driven by {\(\alpha\)}-stable processes. Zbl 1322.65013
Bao, Jianhai; Yuan, Chenggui
9
2014
Numerical approximation of stationary distributions for stochastic partial differential equations. Zbl 1314.60124
Bao, Jianhai; Yuan, Chenggui
5
2014
Convergence rate of EM scheme for SDDEs. Zbl 1277.65006
Bao, Jianhai; Yuan, Chenggui
20
2013
Transportation cost inequalities for neutral functional stochastic equations. Zbl 1290.65004
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
17
2013
Bismut formulae and applications for functional SPDEs. Zbl 1281.60058
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
16
2013
Derivative formula and Harnack inequality for degenerate functional SDEs. Zbl 1262.60052
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
10
2013
Long-term behavior of stochastic interest rate models with jumps and memory. Zbl 1284.91558
Bao, Jianhai; Yuan, Chenggui
7
2013
On the exponential stability of switching-diffusion processes with jumps. Zbl 1274.60209
Yuan, Chenggui; Bao, Jianhai
6
2013
Razumikhin-type theorems on exponential stability of SDDEs containing singularly perturbed random processes. Zbl 1279.60069
Hu, Junhao; Mao, Xuerong; Yuan, Chenggui
2
2013
Stochastic population dynamics driven by Lévy noise. Zbl 1316.92063
Bao, Jianhai; Yuan, Chenggui
140
2012
Harnack inequalities for stochastic (functional) differential equations with non-Lipschitzian coefficients. Zbl 1287.60074
Shao, Jinghai; Wang, Feng-Yu; Yuan, Chenggui
12
2012
Lyapunov exponents of hybrid stochastic heat equations. Zbl 1250.93122
Bao, Jianhai; Mao, Xuerong; Yuan, Chenggui
7
2012
Stabilization of partial differential equations by Lévy noise. Zbl 1251.60050
Bao, Jianhai; Yuan, Chenggui
4
2012
On an equation being a fractional differential equation with respect to time and a pseudo-differential equation with respect to space related to Lévy-type processes. Zbl 1308.35321
Hu, Ke; Jacob, Niels; Yuan, Chenggui
2
2012
Competitive Lotka-Volterra population dynamics with jumps. Zbl 1228.93112
Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui
179
2011
Harnack inequalities for functional SDEs with multiplicative noise and applications. Zbl 1227.60080
Wang, Feng-Yu; Yuan, Chenggui
35
2011
Comparison theorem for stochastic differential delay equations with jumps. Zbl 1230.34068
Bao, Jianhai; Yuan, Chenggui
20
2011
Convergence rate of numerical solutions to SFDEs with jumps. Zbl 1236.65005
Bao, Jianhai; Böttcher, Björn; Mao, Xuerong; Yuan, Chenggui
20
2011
Almost sure asymptotic stability of stochastic partial differential equations with jumps. Zbl 1222.60045
Bao, Jianhai; Truman, Aubrey; Yuan, Chenggui
13
2011
A note on stability in distribution of Markov-modulated stochastic differential equations with reflection. Zbl 1222.60040
Bo, Lijun; Yuan, Chenggui
1
2011
Stability of stochastic delay hybrid systems with jumps. Zbl 1216.93095
Yuan, Chenggui; Mao, Xuerong
22
2010
Exponential stability of energy solutions to stochastic partial differential equations with variable delays and jumps. Zbl 1185.60069
Hou, Zhenting; Bao, Jianhai; Yuan, Chenggui
18
2010
Stability in distribution of mild solutions to stochastic partial differential equations. Zbl 1195.60087
Bao, Jianhai; Hou, Zhenting; Yuan, Chenggui
17
2010
Approximation methods for hybrid diffusion systems with state-dependent switching processes: numerical algorithms and existence and uniqueness of solutions. Zbl 1208.65019
Yin, G.; Mao, Xuerong; Yuan, Chenggui; Cao, Dingzhou
14
2010
Stability of hybrid stochastic delay systems whose discrete components have a large state space: a two-time-scale approach. Zbl 1200.93136
Yuan, Chenggui; Yin, G.
9
2010
Poincaré inequality on the path space of Poisson point processes. Zbl 1280.60029
Wang, Feng-Yu; Yuan, Chenggui
5
2010
Stability in distribution of neutral stochastic differential delay equations with Markovian switching. Zbl 1175.34103
Bao, Jianhai; Hou, Zhenting; Yuan, Chenggui
37
2009
Stability in distribution of mild solutions to stochastic partial differential delay equations with jumps. Zbl 1186.60057
Bao, Jianhai; Truman, Aubrey; Yuan, Chenggui
24
2009
Stochastic differential delay equations with jumps, under nonlinear growth condition. Zbl 1191.60081
Jacob, Niels; Wang, Yongtian; Yuan, Chenggui
18
2009
Numerical solutions of stochastic differential delay equations with jumps. Zbl 1168.60356
Jacob, Niels; Wang, Yongtian; Yuan, Chenggui
14
2009
Stochastic hybrid delay population dynamics: well-posed models and extinction. Zbl 1155.92044
Yuan, Chenggui; Mao, Xuerong; Lygeros, John
6
2009
Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching. Zbl 1143.60041
Mao, Xuerong; Shen, Yi; Yuan, Chenggui
73
2008
Comparison theorem of one-dimensional stochastic hybrid delay systems. Zbl 1130.60065
Yang, Zhe; Mao, Xuerong; Yuan, Chenggui
12
2008
A note on the rate of convergence of the Euler-Maruyama method for stochastic differential equations. Zbl 1136.60040
Yuan, Chenggui; Mao, Xuerong
12
2008
Stabilization and destabilization of hybrid systems of stochastic differential equations. Zbl 1111.93082
Mao, Xuerong; Yin, G. George; Yuan, Chenggui
99
2007
Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations. Zbl 1144.65005
Higham, Desmond J.; Mao, Xuerong; Yuan, Chenggui
95
2007
Approximations of Euler-Maruyama type for stochastic differential equations with Markovian switching, under non-Lipschitz conditions. Zbl 1121.65011
Mao, Xuerong; Yuan, Chenggui; Yin, G.
22
2007
Preserving exponential mean-square stability in the simulation of hybrid stochastic differential equations. Zbl 1137.65007
Higham, Desmond J.; Mao, Xuerong; Yuan, Chenggui
18
2007
Stochastic differential equations with Markovian switching. Zbl 1126.60002
Mao, Xuerong; Yuan, Chenggui
747
2006
Approximate solutions of stochastic differential delay equations with Markovian switching. Zbl 1098.65005
Yuan, Chenggui; Glover, William
17
2006
Euler-Maruyama approximations in mean-reverting stochastic volatility model under regime-switching. Zbl 1147.60320
Mao, Xuerong; Truman, Aubrey; Yuan, Chenggui
17
2006
Asymptotic stability and boundedness of delay switching diffusions. Zbl 1366.93453
Yuan, Chenggui; Lygeros, John
7
2006
Attraction and stochastic asymptotic stability and boundedness of stochastic functional differential equations with respect to semimartingales. Zbl 1121.60065
Yuan, Chenggui; Mao, Xuerong
4
2006
Stochastic hybrid delay population dynamics. Zbl 1178.92045
Lygeros, John; Mao, Xuerong; Yuan, Chenggui
1
2006
Stochastic differential delay equations of population dynamics. Zbl 1062.92055
Mao, Xuerong; Yuan, Chenggui; Zou, Jiezhong
83
2005
Stabilization of a class of stochastic differential equations with Markovian switching. Zbl 1129.93517
Yuan, Chenggui; Lygeros, John
54
2005
Numerical method for stationary distribution of stochastic differential equations with Markovian switching. Zbl 1066.65016
Mao, Xuerong; Yuan, Chenggui; Yin, G.
30
2005
Stationary distributions of Euler-Maruyama-type stochastic difference equations with Markovian switching and their convergence. Zbl 1076.65012
Yuan, C.; Mao, X.
13
2005
On the exponential stability of switching diffusion processes. Zbl 1365.93432
Yuan, Chenggui; Lygeros, John
11
2005
Stability in terms of two measures for stochastic differential equations with Markovian switching. Zbl 1125.60056
Yuan, Chenggui
2
2005
Robust stability and controllability of stochastic differential delay equations with Markovian switching. Zbl 1040.93069
Yuan, Chenggui; Mao, Xuerong
114
2004
Convergence of the Euler–Maruyama method for stochastic differential equations with Markovian switching. Zbl 1044.65007
Yuan, Chenggui; Mao, Xuerong
46
2004
Stability in distribution of numerical solutions for stochastic differential equations. Zbl 1071.60062
Yuan, Chenggui; Mao, Xuerong
15
2004
Asymptotic stability and boundedness of delay switching diffusions. Zbl 1135.93366
Yuan, Chenggui; Lygeros, John
1
2004
Asymptotic stability in distribution of stochastic differential equations with Markovian switching. Zbl 1075.60541
Yuan, Chenggui; Mao, Xuerong
81
2003
...and 4 more Documents
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Cited by 1,878 Authors

107 Mao, Xuerong
66 Yuan, Chenggui
51 Wu, Fuke
50 Yin, George Gang
49 Liu, Meng
46 Jiang, Daqing
43 Wang, Ke
31 Zhu, Quanxin
28 Bao, Jianhai
28 Xi, Fubao
27 Liu, Qun
25 Deng, Feiqi
24 Li, Xiaoyue
23 Liu, Wei
22 Hayat, Tasawar
22 Hu, Liangjian
22 Wang, Feng-Yu
21 Hu, Junhao
21 Huang, Xing
21 Su, Huan
20 Zhang, Weihai
19 Shao, Jinghai
19 Yin, Gang George
18 Li, Wenxue
17 Cao, Jinde
17 Liu, Lei
17 Zhou, Wuneng
17 Zhu, Chao
16 Kao, Yonggui
16 Song, Minghui
14 Fei, Weiyin
14 Li, Zhi
14 Lu, Chun
14 Mao, Wei
14 Meng, Xinzhu
14 Nguyen, Dang Hai
14 Tran, Ky Quan
13 Al-saedi, Ahmed Eid Salem
13 Huang, Chengming
13 Shen, Yi
13 Tong, Jinying
13 Yuan, Sanling
13 Zhang, Xinhong
13 Zhang, Zhenzhong
12 Jiang, Feng
12 Wang, Pengfei
12 Yan, Litan
12 Zhang, Qimin
11 Chen, Huabin
11 Deng, Meiling
11 Ding, Xiaohua
11 Feng, Lichao
11 Hu, Guixin
11 Yang, Hua
11 Zou, Xiaoling
10 Liu, Mingzhu
10 Milošević, Marija
10 Nguyen Huu Du
10 Nguyen, Son Luu
10 Wang, Linshan
10 Wang, Sheng
10 Wang, Zidong
10 Zhang, Qingling
10 Zong, Xiaofeng
9 Bai, Chuanzhi
9 Fang, Jian’an
9 Feng, Jiqiang
9 Hu, Shigeng
9 Li, Guangjie
9 Pei, Bin
9 Ren, Yong
9 Wei, Tengda
9 Zhang, Tonghua
9 Zhou, Shaobo
8 Fan, Xiliang
8 Fei, Chen
8 Guo, Qian
8 Lan, Guangqiang
8 Li, Junping
8 Li, Ronghua
8 Li, Shihu
8 Lin, Zhongwei
8 Liu, Chao
8 Liu, Xinzhi
8 O’Regan, Donal
8 Wang, Changhong
8 Xu, Liping
8 Xu, Shengyuan
8 Xu, Yong
8 Yang, Hongfu
8 Zhang, Chunmei
8 Zhang, Shaoqin
8 Zhuang, Guangming
7 Caraballo Garrido, Tomás
7 Liu, Linna
7 Liu, Wei
7 Luo, Qi
7 Ren, Panpan
7 Shen, Guangjun
7 Shu, Huisheng
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Cited in 217 Serials

104 Applied Mathematics and Computation
79 Advances in Difference Equations
61 Journal of the Franklin Institute
61 Physica A
59 Journal of Computational and Applied Mathematics
55 Nonlinear Analysis. Hybrid Systems
53 Journal of Mathematical Analysis and Applications
47 Discrete and Continuous Dynamical Systems. Series B
46 Systems & Control Letters
44 Automatica
44 Stochastic Analysis and Applications
43 Abstract and Applied Analysis
36 Mathematical Problems in Engineering
35 Statistics & Probability Letters
30 Communications in Nonlinear Science and Numerical Simulation
27 International Journal of Control
26 Stochastic Processes and their Applications
23 Chaos, Solitons and Fractals
23 Journal of Differential Equations
23 SIAM Journal on Control and Optimization
23 Applied Mathematics Letters
22 International Journal of Systems Science. Principles and Applications of Systems and Integration
21 International Journal of Biomathematics
20 Nonlinear Dynamics
20 Discrete Dynamics in Nature and Society
17 Stochastics and Dynamics
16 International Journal of Robust and Nonlinear Control
15 Journal of Applied Mathematics and Computing
15 Stochastics
14 Journal of Inequalities and Applications
14 Frontiers of Mathematics in China
14 Asian Journal of Control
13 Complexity
12 Applied Numerical Mathematics
12 Applied Mathematical Modelling
12 Filomat
11 Journal of Nonlinear Science and Applications
11 Journal of Applied Analysis and Computation
10 Applicable Analysis
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Journal of Nonlinear Science
10 Journal of Applied Mathematics
10 Communications on Pure and Applied Analysis
9 International Journal of Systems Science
9 Mathematics and Computers in Simulation
9 Potential Analysis
9 Journal of Systems Science and Complexity
8 Journal of Difference Equations and Applications
8 Discrete and Continuous Dynamical Systems
8 Methodology and Computing in Applied Probability
8 Mathematical Biosciences and Engineering
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7 Qualitative Theory of Dynamical Systems
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7 Science China. Mathematics
6 Computers & Mathematics with Applications
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6 Acta Applicandae Mathematicae
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5 AIMS Mathematics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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4 Acta Mathematicae Applicatae Sinica. English Series
4 Neural Networks
4 Acta Mathematica Sinica. English Series
4 Quantitative Finance
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4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Journal of Applied Nonlinear Dynamics
4 Journal of Function Spaces
3 Calcolo
3 Fuzzy Sets and Systems
3 Proceedings of the American Mathematical Society
3 Optimal Control Applications & Methods
3 Mathematical and Computer Modelling
3 International Journal of Adaptive Control and Signal Processing
3 Automation and Remote Control
3 SIAM Journal on Applied Mathematics
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3 Journal of Dynamics and Differential Equations
3 Journal of Mathematical Sciences (New York)
3 Computational and Applied Mathematics
3 Random Operators and Stochastic Equations
3 Electronic Communications in Probability
3 European Journal of Control
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
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