## Mao, Xuerong

Compute Distance To:
 Author ID: mao.xuerong Published as: Mao, Xuerong; Mao, X. Homepage: http://personal.strath.ac.uk/x.mao/ External Links: MGP · ORCID · ResearchGate · dblp · GND
 Documents Indexed: 330 Publications since 1983, including 5 Books Co-Authors: 144 Co-Authors with 256 Joint Publications 5,058 Co-Co-Authors
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### Co-Authors

 72 single-authored 30 Yuan, Chenggui 26 Hu, Liangjian 19 Mao, Wei 17 Li, Xiaoyue 17 Liu, Wei 16 Fei, Weiyin 14 Liao, Xiao Xin 14 Wu, Fuke 12 Rodkina, Alexandra 11 Higham, Desmond J. 10 Greenhalgh, David 10 Luo, Qi 10 You, Surong 9 Appleby, John A. D. 9 Fei, Chen 9 Huang, Lirong 7 Deng, Feiqi 7 Lu, Jianqiu 7 Shen, Mingxuan 6 Cai, Yongmei 6 Gray, Alison J. 6 Guo, Qian 6 Lam, James 6 Matasov, Alexander I. 6 Szpruch, Lukasz 6 Yin, Gang George 5 Cai, Siyang 5 Deng, Shounian 5 Kolmanovskii, Vladimir Borisovich 5 Pan, Jiafeng 4 Bahar, Arifah 4 Jiang, Daqing 4 Li, Yuyuan 4 Song, Minghui 4 Yan, Litan 4 Yue, Rongxian 3 Bao, Jianhai 3 Chen, Kan 3 Dalal, Nirav 3 Hu, Junhao 3 Hu, Shigeng 3 Kloeden, Peter Eris 3 Koroleva, N. I. 3 Liu, Kai 3 Pang, Sulin 3 Piunovskiĭ, Alekseĭ Borisovich 3 Qiu, Qinwei 3 Renshaw, Eric 3 Sabanis, Sotirios 2 Bashkov, A. B. 2 Blythe, Steve P. 2 Cao, Jinde 2 Dong, Ran 2 Gao, Huijun 2 Hu, Guangda 2 Intep, Somkid 2 Kelly, Cónall 2 Kou, Chunhai 2 Liang, Yanfeng 2 Liang, Yong 2 Liu, Mingzhu 2 Lygeros, John 2 Marion, Glenn 2 Markus, Lawrence 2 Rassias, Matina John 2 Riedle, Markus 2 Selfridge, C. 2 Shah, Anita 2 Song, Qingshuo 2 Stuart, Andrew M. 2 Wang, Ya 2 Wu, Huizhong 2 Xia, Dengfeng 2 Xu, Shengyuan 2 Yang, Qingshan 2 Yin, George Gang 2 Yin, Juliang 2 Zhang, Liguo 2 Zhao, Yanan 2 Zou, Jiezhong 1 Baduraliya, Chaminda H. 1 Bao, Jundong 1 Böttcher, Björn 1 Cao, Dingzhou 1 Caraballo Garrido, Tomás 1 Chen, Michael Z. Q. 1 Dong, Hailing 1 Emmanuel, Coffie 1 Feng, Lichao 1 Feng, Ling 1 Foondun, Mohammud 1 Giles, Michael B. 1 Huang, Zhigang 1 Jarzebowska, Elzbieta 1 Jiang, Yanan 1 Li, Chanying 1 Li, Shoumei 1 Li, Tao 1 Li, Wenxue 1 Li, Yin ...and 44 more Co-Authors
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### Serials

 25 Systems & Control Letters 25 Stochastic Analysis and Applications 22 Journal of Mathematical Analysis and Applications 21 Journal of Computational and Applied Mathematics 17 IEEE Transactions on Automatic Control 13 Automatica 13 Discrete and Continuous Dynamical Systems. Series B 9 Applied Mathematics and Computation 9 Stochastic Processes and their Applications 9 Stochastics and Stochastics Reports 6 SIAM Journal on Control and Optimization 6 Functional Differential Equations 5 Applied Numerical Mathematics 5 Stochastics 5 Journal of Nanjing University of Information Science and Technology. Natural Science Edition 4 Journal of the Franklin Institute 4 The Quarterly Journal of Mathematics. Oxford Second Series 4 SIAM Journal on Numerical Analysis 4 Statistics & Probability Letters 4 Journal of Difference Equations and Applications 4 Advances in Difference Equations 4 Nonlinear Analysis. Hybrid Systems 3 BIT 3 Journal of Theoretical Probability 3 SIAM Journal on Mathematical Analysis 3 Discrete and Continuous Dynamical Systems 2 Physica A 2 Chinese Journal of Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Numerische Mathematik 2 Journal of Central China Normal University. Natural Sciences 2 Numerical Algorithms 2 Dynamic Systems and Applications 2 Dynamics of Continuous, Discrete and Impulsive Systems 2 Abstract and Applied Analysis 2 Electronic Journal of Qualitative Theory of Differential Equations 2 LMS Journal of Computation and Mathematics 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Science in China. Series F 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 International Journal of Control 1 Journal of Fluid Mechanics 1 Moscow University Mechanics Bulletin 1 Stochastics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Bulletin of the Korean Mathematical Society 1 Operations Research Letters 1 Applied Mathematics Letters 1 Journal of Applied Mathematics and Stochastic Analysis 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Applied Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Chinese Science Bulletin 1 International Journal of Robust and Nonlinear Control 1 Neural, Parallel & Scientific Computations 1 Journal of Huazhong University of Science and Technology 1 Random Operators and Stochastic Equations 1 Electronic Journal of Probability 1 Bernoulli 1 Nonlinear Studies 1 Finance and Stochastics 1 European Journal of Control 1 Communications in Applied Analysis 1 Nonlinear Dynamics 1 Chaos 1 Statistical Inference for Stochastic Processes 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 International Mathematical Journal 1 Stochastic Models 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Nonlinear Dynamics and Systems Theory 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Pure and Applied Mathematics 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Mathematical Biosciences and Engineering 1 Journal of Control Theory and Applications 1 Journal of Industrial and Management Optimization 1 International Journal of Applied Mathematics and Statistics 1 Pure and Applied Mathematics, Marcel Dekker 1 Journal of Biological Dynamics 1 Computational & Mathematical Methods in Medicine 1 Journal of Applied Probability and Statistics 1 Asian Journal of Control 1 Mathematical Control and Related Fields 1 Journal of Applied Analysis and Computation 1 SIAM/ASA Journal on Uncertainty Quantification ...and 1 more Serials
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### Fields

 253 Probability theory and stochastic processes (60-XX) 145 Systems theory; control (93-XX) 119 Ordinary differential equations (34-XX) 66 Numerical analysis (65-XX) 43 Biology and other natural sciences (92-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Statistics (62-XX) 6 Difference and functional equations (39-XX) 4 Real functions (26-XX) 4 Partial differential equations (35-XX) 4 Computer science (68-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

284 Publications have been cited 11,272 times in 4,641 Documents Cited by Year
Stochastic differential equations with Markovian switching. Zbl 1126.60002
Mao, Xuerong; Yuan, Chenggui
2006
Stochastic differential equations and their applications. Zbl 0892.60057
Mao, Xuerong
1997
Environmental Brownian noise suppresses explosions in population dynamics. Zbl 1058.60046
Mao, Xuerong; Marion, Glenn; Renshaw, Eric
2002
Stability of large-scale neutral type stochastic differential equations. Zbl 0874.60050
Liao, X. X.; Mao, X.
1997
Stability of stochastic differential equations with Markovian switching. Zbl 0962.60043
Mao, Xuerong
1999
A stochastic differential equation SIS epidemic model. Zbl 1263.34068
Gray, A.; Greenhalgh, D.; Hu, L.; Mao, X.; Pan, J.
2011
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
2002
Stochastic differential equations and applications. 2nd ed. Zbl 1138.60005
Mao, Xuerong
2007
Delay-dependent $$H_{\infty}$$ control and filtering for uncertain Markovian jump systems with time-varying delays. Zbl 1374.93134
Xu, Shengyuan; Lam, James; Mao, Xuerong
2007
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048
Li, Xiaoyue; Mao, Xuerong
2009
Exponential stability of stochastic delay interval systems with Markovian switching. Zbl 1364.93685
Mao, Xuerong
2002
Stochastic population dynamics under regime switching. Zbl 1113.92052
Luo, Qi; Mao, Xuerong
2007
Competitive Lotka-Volterra population dynamics with jumps. Zbl 1228.93112
Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui
2011
Almost sure exponential stability of neutral stochastic differential difference equations. Zbl 0884.60052
Liao, X. X.; Mao, X.
1997
Robustness of exponential stability of stochastic differential delay equations. Zbl 0851.93074
Mao, X.
1996
Exponential stability of stochastic differential equations. Zbl 0806.60044
Mao, Xuerong
1994
A stochastic model for internal HIV dynamics. Zbl 1132.92015
Dalal, Nirav; Greenhalgh, David; Mao, Xuerong
2008
Stochastic delay Lotka–Volterra model. Zbl 1043.92034
Bahar, Arifah; Mao, Xuerong
2004
Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching. Zbl 1205.92058
Li, Xiaoyue; Gray, Alison; Jiang, Daqing; Mao, Xuerong
2011
Asymptotic behaviour of the stochastic Lotka-Volterra model. Zbl 1048.92027
Mao, Xuerong; Sabanis, Sotirios; Renshaw, Eric
2003
A note on the LaSalle-type theorems for stochastic differential delay equations. Zbl 0996.60064
Mao, Xuerong
2002
Robust stability and controllability of stochastic differential delay equations with Markovian switching. Zbl 1040.93069
Yuan, Chenggui; Mao, Xuerong
2004
Stability of stochastic delay neural networks. Zbl 0991.93120
Blythe, Steve; Mao, Xuerong; Liao, Xiaoxin
2001
A stochastic model of AIDS and condom use. Zbl 1101.92037
Dalal, Nirav; Greenhalgh, David; Mao, Xuerong
2007
Adapted solutions of backward stochastic differential equations with non- Lipschitz coefficients. Zbl 0835.60049
Mao, Xuerong
1995
Population dynamical behavior of Lotka-Volterra system under regime switching. Zbl 1173.60020
Li, Xiaoyue; Jiang, Daqing; Mao, Xuerong
2009
Razumikhin-type theorems on exponential stability of stochastic functional differential equations. Zbl 0889.60062
Mao, X.
1996
Numerical solutions of stochastic differential delay equations under local Lipschitz condition. Zbl 1015.65002
Mao, Xuerong; Sabanis, Sotirios
2003
Stabilization and destabilization of hybrid systems of stochastic differential equations. Zbl 1111.93082
Mao, Xuerong; Yin, G. George; Yuan, Chenggui
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
2007
Stability of stochastic differential equations with respect to semimartingales. Zbl 0724.60059
Mao, Xuerong
1991
Stochastic differential delay equations with Markovian switching. Zbl 0956.60060
Mao, Xuerong; Matasov, Alexander; Piunovskiy, Aleksey B.
2000
Stationary distribution of stochastic population systems. Zbl 1387.60107
Mao, Xuerong
2011
The truncated Euler-Maruyama method for stochastic differential equations. Zbl 1330.65016
Mao, Xuerong
2015
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations. Zbl 0876.60047
Mao, Xuerong
1997
Almost sure exponential stability of numerical solutions for stochastic delay differential equations. Zbl 1193.65009
Wu, Fuke; Mao, Xuerong; Szpruch, Lukas
2010
Stochastic differential delay equations of population dynamics. Zbl 1062.92055
Mao, Xuerong; Yuan, Chenggui; Zou, Jiezhong
2005
Stochastic versions of the LaSalle theorem. Zbl 0921.34057
Mao, Xuerong
1999
Stochastic population dynamics under regime switching. II. Zbl 1162.92032
Luo, Qi; Mao, Xuerong
2009
Exponential mean-square stability of numerical solutions to stochastic differential equations. Zbl 1055.65009
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
2003
The SIS epidemic model with Markovian switching. Zbl 1271.92030
Gray, Alison; Greenhalgh, David; Mao, Xuerong; Pan, Jiafeng
2012
Asymptotic stability in distribution of stochastic differential equations with Markovian switching. Zbl 1075.60541
Yuan, Chenggui; Mao, Xuerong
2003
Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients. Zbl 1262.65012
Mao, Xuerong; Szpruch, Lukasz
2013
Robust stability of uncertain stochastic differential delay equations. Zbl 0909.93054
Mao, Xuerong; Koroleva, Natalia; Rodkina, Alexandra
1998
Stochastic delay population dynamics. Zbl 1043.92028
Bahar, Arifah; Mao, Xuerong
2004
Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching. Zbl 1143.60041
Mao, Xuerong; Shen, Yi; Yuan, Chenggui
2008
Neutral stochastic differential delay equations with Markovian switching. Zbl 1025.60028
Kolmanovskii, V.; Koroleva, N.; Maizenberg, T.; Mao, X.; Matasov, A.
2003
Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. Zbl 1315.93083
Mao, Xuerong
2013
Exponential stability and instability of stochastic neural networks. Zbl 0848.60058
Liao, X. X.; Mao, X.
1996
Stochastic stabilization and destabilization. Zbl 0820.93071
Mao, Xuerong
1994
Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036
Mao, Xuerong
2016
Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042
Yang, Qingshan; Mao, Xuerong
2013
Khasminskii-type theorems for stochastic differential delay equations. Zbl 1082.60055
Mao, Xuerong; Rassias, Matina John
2005
Stabilisation of hybrid stochastic differential equations by delay feedback control. Zbl 1149.93027
Mao, Xuerong; Lam, James; Huang, Lirong
2008
New criteria on exponential stability of neutral stochastic differential delay equations. Zbl 1100.93048
Luo, Qi; Mao, Xuerong; Shen, Yi
2006
Stabilization and destabilization of nonlinear differential equations by noise. Zbl 1367.93692
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra
2008
Exponential stability in mean square of neutral stochastic differential functional equations. Zbl 0877.93133
Mao, Xuerong
1995
Exponential stability of equidistant Euler-Maruyama approximations of stochastic differential delay equations. Zbl 1114.65005
Mao, Xuerong
2007
Strong convergence rates for backward Euler-Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients. Zbl 1304.65009
Mao, Xuerong; Szpruch, Lukasz
2013
Stabilization of hybrid systems by feedback control based on discrete-time state observations. Zbl 1337.60133
You, Surong; Liu, Wei; Lu, Jianqiu; Mao, Xuerong; Qiu, Qinwei
2015
Numerical solutions of neutral stochastic functional differential equations. Zbl 1173.65004
Wu, Fuke; Mao, Xuerong
2008
Stochastic stabilisation of functional differential equations. Zbl 1129.34330
Appleby, John A. D.; Mao, Xuerong
2005
Exponential stability of stochastic delay interval systems. Zbl 0949.60068
Liao, X. X.; Mao, X.
2000
Numerical solutions of stochastic functional differential equations. Zbl 1055.65011
Mao, Xuerong
2003
Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011
Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu
2011
Stochastic stabilization of hybrid differential equations. Zbl 1257.93103
Deng, Feiqi; Luo, Qi; Mao, Xuerong
2012
The improved LaSalle-type theorems for stochastic functional differential equations. Zbl 1090.60059
Shen, Yi; Luo, Qi; Mao, Xuerong
2006
Numerical solutions of stochastic differential delay equations under the generalized Khasminskii-type conditions. Zbl 1215.65015
Mao, Xuerong
2011
Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1259.93127
Hu, Liangjian; Mao, Xuerong; Shen, Yi
2013
Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1369.93693
Hu, Liangjian; Mao, Xuerong; Zhang, Liguo
2013
Delay-dependent exponential stability of neutral stochastic delay systems. Zbl 1367.93511
Huang, Lirong; Mao, Xuerong
2009
On input-to-state stability of stochastic retarded systems with Markovian switching. Zbl 1367.93597
Huang, Lirong; Mao, Xuerong
2009
Convergence of the Euler–Maruyama method for stochastic differential equations with Markovian switching. Zbl 1044.65007
Yuan, Chenggui; Mao, Xuerong
2004
Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations. Zbl 1297.93176
Mao, Xuerong; Liu, Wei; Hu, Liangjian; Luo, Qi; Lu, Jianqiu
2014
LaSalle-type theorems for stochastic differential delay equations. Zbl 0958.60057
Mao, Xuerong
1999
Delay population dynamics and environmental noise. Zbl 1093.60033
Mao, Xuerong
2005
Asymptotic properties of stochastic population dynamics. Zbl 1171.34038
Pang, Sulin; Deng, Feiqi; Mao, Xuerong
2008
Asymptotic properties of neutral stochastic differential delay equations. Zbl 0964.60066
Mao, Xuerong
2000
Stochastic functional differential equations with Markovian switching. Zbl 1034.60063
Mao, X.
1999
Razumikhin method and exponential stability of hybrid stochastic delay interval systems. Zbl 1127.60072
Mao, Xuerong; Lam, James; Xu, Shengyuan; Gao, Huijun
2006
Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517
Mao, Xuerong
2016
Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1141.65006
Pang, Sulin; Deng, Feiqi; Mao, Xuerong
2008
Stability of singular stochastic systems with Markovian switching. Zbl 1368.93767
Huang, Lirong; Mao, Xuerong
2011
Almost sure exponential stabilisation of stochastic systems by state-feedback control. Zbl 1283.93303
Hu, Liangjian; Mao, Xuerong
2008
Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068
Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz
2013
Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407
Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong
2018
Noise suppresses or expresses exponential growth. Zbl 1157.93515
Deng, Feiqi; Luo, Qi; Mao, Xuerong; Pang, Sulin
2008
Exponential stability of non-linear stochastic evolution equations. Zbl 0933.60072
Liu, Kai; Mao, Xuerong
1998
A note on almost sure asymptotic stability of neutral stochastic delay differential equations with Markovian switching. Zbl 1257.93106
Li, Xiaoyue; Mao, Xuerong
2012
Numerical method for stationary distribution of stochastic differential equations with Markovian switching. Zbl 1066.65016
Mao, Xuerong; Yuan, Chenggui; Yin, G.
2005
Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations. Zbl 1329.65018
Liu, Wei; Mao, Xuerong
2013
Stability in distribution of stochastic differential delay equations with Markovian switching. Zbl 1157.60330
Yuan, Chenggui; Zou, Jiezhong; Mao, Xuerong
2003
Mean square stability of stochastic Volterra integro-differential equations. Zbl 1129.34332
Mao, X.; Riedle, M.
2006
Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching. Zbl 1400.92484
Greenhalgh, D.; Liang, Y.; Mao, X.
2016
Almost sure exponential stability of backward Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1227.65012
Mao, Xuerong; Shen, Yi; Gray, Alison
2011
Stability of stochastic neural networks. Zbl 1060.92502
Liao, X. X.; Mao, X.
1996
Stability analysis of continuous-time switched systems with a random switching signal. Zbl 1360.93756
Xiong, Junlin; Lam, James; Shu, Zhan; Mao, Xuerong
2014
Stochastic dynamics of SIRS epidemic models with random perturbation. Zbl 1306.92064
Yang, Qingshan; Mao, Xuerong
2014
Robust delayed-state-feedback stabilization of uncertain stochastic systems. Zbl 1162.93389
Huang, Lirong; Mao, Xuerong
2009
Delay dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1376.93115
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan
2017
Positivity preserving truncated Euler-Maruyama method for stochastic Lotka-Volterra competition model. Zbl 1465.65008
Mao, Xuerong; Wei, Fengying; Wiriyakraikul, Teerapot
2021
Stabilization and destabilization of hybrid systems by periodic stochastic controls. Zbl 1478.93716
Li, Xiaoyue; Liu, Wei; Mao, Xuerong; Zhao, Junsheng
2021
Exponential stabilization by delay feedback control for highly nonlinear hybrid stochastic functional differential equations with infinite delay. Zbl 1483.93527
Mei, Chunhui; Fei, Chen; Fei, Weiyin; Mao, Xuerong
2021
Truncated EM numerical method for generalised Ait-Sahalia-type interest rate model with delay. Zbl 1448.62146
Emmanuel, Coffie; Mao, Xuerong
2021
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations. Zbl 1481.65022
Li, Xiaoyue; Mao, Xuerong; Yang, Hongfu
2021
On exponential stability of hybrid neutral stochastic differential delay equations with different structures. Zbl 1478.93563
Wu, Aiqing; You, Surong; Mao, Wei; Mao, Xuerong; Hu, Liangjian
2021
Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control. Zbl 1430.93166
Li, Xiaoyue; Mao, Xuerong
2020
Stabilization of highly nonlinear hybrid systems by feedback control based on discrete-time state observations. Zbl 07256402
Fei, Chen; Fei, Weiyin; Mao, Xuerong; Xia, Dengfeng; Yan, Litan
2020
Truncated Euler-Maruyama method for classical and time-changed non-autonomous stochastic differential equations. Zbl 1456.65007
Liu, Wei; Mao, Xuerong; Tang, Jingwen; Wu, Yue
2020
Advances in stabilization of hybrid stochastic differential equations by delay feedback control. Zbl 1456.60148
Hu, Junhao; Liu, Wei; Deng, Feiqi; Mao, Xuerong
2020
Stabilisation by delay feedback control for highly nonlinear neutral stochastic differential equations. Zbl 1441.93221
Shen, Mingxuan; Fei, Chen; Fei, Weiyin; Mao, Xuerong
2020
The asymptotic stability of hybrid stochastic systems with pantograph delay and non-Gaussian Lévy noise. Zbl 1429.93407
Mao, Wei; Hu, Liangjian; Mao, Xuerong
2020
Stochastic delay foraging arena predator-prey system with Markov switching. Zbl 1437.37115
Cai, Yongmei; Cai, Siyang; Mao, Xuerong
2020
Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay. Zbl 1443.60064
Mao, Wei; Hu, Liangjian; Mao, Xuerong
2020
Advances in the truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1462.60073
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Xia, Dengfeng
2020
Delay feedback control for switching diffusion systems based on discrete-time observations. Zbl 07268419
Li, Xiaoyue; Mao, Xuerong; Mukama, Denis S.; Yuan, Chenggui
2020
The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients. Zbl 1490.65010
Yang, Hao; Wu, Fuke; Kloeden, Peter E.; Mao, Xuerong
2020
Advances in the LaSalle-type theorems for stochastic functional differential equations with infinite delay. Zbl 1431.34087
Wang, Ya; Wu, Fuke; Mao, Xuerong; Zhu, Enwen
2020
The truncated EM method for stochastic differential equations with Poisson jumps. Zbl 1426.60070
Deng, Shounian; Fei, Weiyin; Liu, Wei; Mao, Xuerong
2019
A stochastic differential equation SIS epidemic model with two independent Brownian motions. Zbl 1415.92173
Cai, Siyang; Cai, Yongmei; Mao, Xuerong
2019
Stability of highly nonlinear hybrid stochastic integro-differential delay equations. Zbl 1409.45007
Fei, Chen; Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Yan, Litan
2019
Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in $$p$$th moment and stability. Zbl 1461.65007
Li, Xiaoyue; Mao, Xuerong; Yin, George
2019
Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations. Zbl 1420.60073
Lu, Zhenyu; Hu, Junhao; Mao, Xuerong
2019
The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients. Zbl 1420.60074
Mao, Wei; Hu, Liangjian; You, Surong; Mao, Xuerong
2019
Stability equivalence between the stochastic differential delay equations driven by $$G$$-Brownian motion and the Euler-Maruyama method. Zbl 1425.34090
Deng, Shounian; Fei, Chen; Fei, Weiyin; Mao, Xuerong
2019
Generalized criteria on delay-dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1410.93135
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan
2019
Razumikhin-type theorem for stochastic functional differential systems via vector Lyapunov function. Zbl 1464.34105
Liu, Lei; Mao, Xuerong; Cao, Jinde
2019
Robust quantised control of hybrid stochastic systems based on discrete-time state and mode observations. Zbl 1421.93045
Song, Gongfei; Mao, Xuerong; Li, Tao
2019
Stability in distribution of stochastic functional differential equations. Zbl 1425.93299
Wang, Ya; Wu, Fuke; Mao, Xuerong
2019
A stochastic differential equation SIS epidemic model with two correlated Brownian motions. Zbl 1430.37109
Cai, Siyang; Cai, Yongmei; Mao, Xuerong
2019
Convergence of the split-step $$\theta$$-method for stochastic age-dependent population equations with Markovian switching and variable delay. Zbl 1415.92147
Deng, Shounian; Fei, Weiyin; Liang, Yong; Mao, Xuerong
2019
Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching. Zbl 1438.60077
Mao, Wei; Hu, Liangjian; Mao, Xuerong
2019
Asymptotic boundedness and stability of solutions to hybrid stochastic differential equations with jumps and the Euler-Maruyama approximation. Zbl 1404.60086
Mao, Wei; Hu, Liangjian; Mao, Xuerong
2019
Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations. Zbl 1459.60122
Fei, Chen; Fei, Weiyin; Mao, Xuerong; Shen, Mingxuan; Yan, Litan
2019
Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407
Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong
2018
Stability of highly nonlinear neutral stochastic differential delay equations. Zbl 1390.93843
Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Liang, Yong
2018
Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1458.65008
Hu, Liangjian; Li, Xiaoyue; Mao, Xuerong
2018
The truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1414.60043
Guo, Qian; Mao, Xuerong; Yue, Rongxian
2018
The truncated milstein method for stochastic differential equations with commutative noise. Zbl 06860317
Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian
2018
Structured robust stability and boundedness of nonlinear hybrid delay systems. Zbl 1394.93343
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan
2018
Stochastic prey-predator system with foraging arena scheme. Zbl 1480.92166
Cai, Yongmei; Mao, Xuerong
2018
Almost sure exponential stability of hybrid stochastic functional differential equations. Zbl 1380.34121
Song, Minghui; Mao, Xuerong
2018
A note on the partially truncated Euler-Maruyama method. Zbl 1397.65017
Guo, Qian; Liu, Wei; Mao, Xuerong
2018
Approximate solutions for a class of doubly perturbed stochastic differential equations. Zbl 1445.60042
Mao, Wei; Hu, Liangjian; Mao, Xuerong
2018
Robust discrete-state-feedback stabilization of hybrid stochastic systems with time-varying delay based on Razumikhin technique. Zbl 1388.93097
Li, Yuyuan; Lu, Jianqiu; Kou, Chunhai; Mao, Xuerong; Pan, Jiafeng
2018
Delay dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1376.93115
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan
2017
The partially truncated Euler-Maruyama method and its stability and boundedness. Zbl 1358.65008
Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian
2017
On $$p$$th moment stabilization of hybrid systems by discrete-time feedback control. Zbl 1373.93362
Dong, Ran; Mao, Xuerong
2017
Stabilization of hybrid systems by feedback control based on discrete-time state and mode observations. Zbl 1386.93238
Li, Yuyuan; Lu, Jianqiu; Mao, Xuerong; Qiu, Qinwei
2017
Almost sure stability of the Euler-Maruyama method with random variable stepsize for stochastic differential equations. Zbl 1371.65010
Liu, Wei; Mao, Xuerong
2017
Optimal transient growth on a vortex ring and its transition via cascade of ringlets. Zbl 1419.76268
Mao, X.; Hussain, F.
2017
Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition. Zbl 1422.34238
Mao, Wei; Hu, Liangjian; Mao, Xuerong
2017
Robust stabilization of hybrid uncertain stochastic systems by discrete-time feedback control. Zbl 1373.93366
Li, Yuyuan; Lu, Jianqiu; Kou, Chunhai; Mao, Xuerong; Pan, Jiafeng
2017
Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036
Mao, Xuerong
2016
Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517
Mao, Xuerong
2016
Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching. Zbl 1400.92484
Greenhalgh, D.; Liang, Y.; Mao, X.
2016
Almost sure exponential stability of stochastic differential delay equations. Zbl 1343.60072
Guo, Qian; Mao, Xuerong; Yue, Rongxian
2016
SDE SIS epidemic model with demographic stochasticity and varying population size. Zbl 1410.92120
Greenhalgh, D.; Liang, Y.; Mao, X.
2016
Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching. Zbl 1349.93329
Feng, Lichao; Li, Shoumei; Mao, Xuerong
2016
On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps. Zbl 1382.65021
Mao, Wei; You, Surong; Mao, Xuerong
2016
Stabilization of stochastic differential equations with Markovian switching by feedback control based on discrete-time state observation with a time delay. Zbl 1344.60059
Qiu, Qinwei; Liu, Wei; Hu, Liangjian; Mao, Xuerong; You, Surong
2016
A stochastic differential equation model for the spread of HIV amongst people who inject drugs. Zbl 1348.92156
Liang, Yanfeng; Greenhalgh, David; Mao, Xuerong
2016
Stationary distribution of stochastic SIRS epidemic model with standard incidence. Zbl 1354.92100
Zhao, Yanan; Lin, Yuguo; Jiang, Daqing; Mao, Xuerong; Li, Yong
2016
Hopf bifurcation control for a class of delay differential systems with discrete-time delayed feedback controller. Zbl 1378.34085
Su, Huan; Mao, Xuerong; Li, Wenxue
2016
An averaging principle for neutral stochastic functional differential equations driven by Poisson random measure. Zbl 1419.60046
Mao, Wei; Mao, Xuerong
2016
The truncated Euler-Maruyama method for stochastic differential equations. Zbl 1330.65016
Mao, Xuerong
2015
Stabilization of hybrid systems by feedback control based on discrete-time state observations. Zbl 1337.60133
You, Surong; Liu, Wei; Lu, Jianqiu; Mao, Xuerong; Qiu, Qinwei
2015
The threshold of a stochastic SIRS epidemic model in a population with varying size. Zbl 1333.60148
Gray, Alison; Mao, Xuerong; Jiang, Daqing; Zhao, Yanan
2015
Almost sure exponential stability in the numerical simulation of stochastic differential equations. Zbl 1327.65016
Mao, Xuerong
2015
Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients. Zbl 1410.34175
You, Surong; Mao, Wei; Mao, Xuerong; Hu, Liangjian
2015
Existence, uniqueness and almost surely asymptotic estimations of the solutions to neutral stochastic functional differential equations driven by pure jumps. Zbl 1410.34245
Mao, Wei; Zhu, Quanxin; Mao, Xuerong
2015
Numerical stationary distribution and its convergence for nonlinear stochastic differential equations. Zbl 1310.65009
Liu, Wei; Mao, Xuerong
2015
On the averaging principle for stochastic delay differential equations with jumps. Zbl 1346.60087
Mao, Wei; You, Surong; Wu, Xiaoqian; Mao, Xuerong
2015
Demographic stochasticity in the SDE SIS epidemic model. Zbl 1326.34081
Greenhalgh, David; Liang, Yanfeng; Mao, Xuerong
2015
Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations. Zbl 1348.60088
You, Surong; Hu, Liangjian; Mao, Wei; Mao, Xuerong
2015
The existence and asymptotic estimations of solutions to stochastic pantograph equations with diffusion and Lévy jumps. Zbl 1410.60063
Mao, Wei; Hu, Liangjian; Mao, Xuerong
2015
Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations. Zbl 1297.93176
Mao, Xuerong; Liu, Wei; Hu, Liangjian; Luo, Qi; Lu, Jianqiu
2014
Stability analysis of continuous-time switched systems with a random switching signal. Zbl 1360.93756
Xiong, Junlin; Lam, James; Shu, Zhan; Mao, Xuerong
2014
Stochastic dynamics of SIRS epidemic models with random perturbation. Zbl 1306.92064
Yang, Qingshan; Mao, Xuerong
2014
Mean square polynomial stability of numerical solutions to a class of stochastic differential equations. Zbl 1294.60094
Liu, Wei; Foondun, Mohammud; Mao, Xuerong
2014
On the approximations of solutions to neutral SDEs with Markovian switching and jumps under non-Lipschitz conditions. Zbl 1410.34244
Mao, Wei; Mao, Xuerong
2014
Parameter estimation for the stochastic SIS epidemic model. Zbl 1333.62282
Pan, Jiafeng; Gray, Alison; Greenhalgh, David; Mao, Xuerong
2014
A note on exponential almost sure stability of stochastic differential equation. Zbl 1286.60054
Mao, Xuerong; Song, Qingshuo; Yang, Dichuan
2014
Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients. Zbl 1262.65012
Mao, Xuerong; Szpruch, Lukasz
2013
Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. Zbl 1315.93083
Mao, Xuerong
2013
Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042
Yang, Qingshan; Mao, Xuerong
2013
Strong convergence rates for backward Euler-Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients. Zbl 1304.65009
Mao, Xuerong; Szpruch, Lukasz
2013
Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1259.93127
Hu, Liangjian; Mao, Xuerong; Shen, Yi
2013
Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1369.93693
Hu, Liangjian; Mao, Xuerong; Zhang, Liguo
2013
Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068
Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz
2013
Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations. Zbl 1329.65018
Liu, Wei; Mao, Xuerong
2013
Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations. Zbl 1270.65005
Wu, Fuke; Mao, Xuerong; Kloeden, Peter E.
2013
Khasminskii-type theorems for stochastic functional differential equations. Zbl 1281.34128
Song, Minghui; Hu, Liangjian; Mao, Xuerong; Zhang, Liguo
2013
Mean exit times and the multilevel Monte Carlo method. Zbl 1282.65020
Higham, Desmond J.; Mao, Xuerong; Roj, Mikolaj; Song, Qingshuo; Yin, George
2013
Delay geometric Brownian motion in financial option valuation. Zbl 1291.60122
Mao, Xuerong; Sabanis, Sotirios
2013
Asymptotic moment boundedness of the numerical solutions of stochastic differential equations. Zbl 1288.65009
Liu, Wei; Mao, Xuerong
2013
Razumikhin-type theorems on exponential stability of SDDEs containing singularly perturbed random processes. Zbl 1279.60069
Hu, Junhao; Mao, Xuerong; Yuan, Chenggui
2013
A systematic derivation of stochastic Taylor methods for stochastic delay differential equations. Zbl 1281.65015
Rosli, Norhayati; Bahar, Arifah; Yeak, S. H.; Mao, X.
2013
The SIS epidemic model with Markovian switching. Zbl 1271.92030
Gray, Alison; Greenhalgh, David; Mao, Xuerong; Pan, Jiafeng
2012
Stochastic stabilization of hybrid differential equations. Zbl 1257.93103
Deng, Feiqi; Luo, Qi; Mao, Xuerong
2012
...and 184 more Documents
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### Cited by 4,552 Authors

 202 Jiang, Daqing 202 Mao, Xuerong 81 Liu, Qun 80 Hayat, Tasawar 74 Wang, Ke 72 Liu, Meng 68 Yuan, Chenggui 68 Zhu, Quanxin 67 Wu, Fuke 62 Al-saedi, Ahmed Eid Salem 55 Deng, Feiqi 52 Yin, George Gang 49 Cao, Jinde 46 Zhang, Qimin 39 Li, Wenxue 39 Yuan, Sanling 38 Park, Juhyun (Jessie) 38 Zhang, Weihai 35 Shi, Peng 34 Caraballo Garrido, Tomás 33 Zhang, Qingling 32 Xu, Shengyuan 31 Balasubramaniam, Pagavathigounder 31 Meng, Xinzhu 30 Lam, James 30 Rodkina, Alexandra 29 Li, Xiaoyue 28 Ding, Xiaohua 28 Hu, Liangjian 28 Huang, Chengming 28 Liu, Fei 28 Ren, Yong 28 Yin, Gang George 27 Zhou, Wuneng 26 Hu, Shigeng 26 Liu, Wei 25 Bao, Jianhai 25 El Fatini, Mohamed 25 Su, Huan 25 Wang, Guoliang 25 Wang, Zidong 25 Xi, Fubao 25 Zhang, Tonghua 23 Appleby, John A. D. 23 Fan, Shengjun 23 Gan, Siqing 23 Ji, Chunyan 23 Teng, Zhi-dong 23 Xia, Jianwei 23 Zhong, Shou-Ming 23 Zou, Xiaoling 22 Kao, Yonggui 22 Liu, Xinzhi 22 Shi, Ningzhong 22 Zhang, Xinhong 21 Hu, Junhao 21 Nguyen, Dang Hai 21 Zhu, Chao 20 Fang, Jian’an 20 Song, Minghui 20 Wang, Weiming 19 Lahrouz, Aadil 19 Lv, Jingliang 19 Nguyen Huu Du 19 O’Regan, Donal 18 Chen, Huabin 18 Fei, Weiyin 18 He, Shuping 18 Liu, Zhijun 18 Shao, Jinghai 18 Shen, Yi 17 Karimi, Hamid Reza 17 Kloeden, Peter Eris 17 Liu, Lei 17 Liu, Mingzhu 17 Settati, Adel 17 Sun, Ji Tao 17 Zhou, Shaobo 17 Zhuang, Guangming 16 Jiang, Long 16 Lu, Chun 16 Mao, Wei 16 Wan, Li 16 Wang, Zhen 15 Feng, Tao 15 Guo, Qian 15 Hu, Guixin 15 Jiang, Feng 15 Mu, Xiaowu 15 Wang, Linshan 15 Zhang, Yan 15 Zhao, Dianli 15 Zhao, Yanan 14 Deng, Meiling 14 Jentzen, Arnulf 14 Liu, Kai 14 Luo, Qi 14 Tong, Jinying 14 Wang, Xiaojie 14 Wei, Fengying ...and 4,452 more Authors
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### Cited in 368 Serials

 301 Applied Mathematics and Computation 231 Journal of the Franklin Institute 202 Advances in Difference Equations 176 Physica A 142 Journal of Computational and Applied Mathematics 131 Stochastic Analysis and Applications 130 Automatica 119 Journal of Mathematical Analysis and Applications 109 Abstract and Applied Analysis 104 Mathematical Problems in Engineering 101 Nonlinear Analysis. Hybrid Systems 99 Systems & Control Letters 96 Chaos, Solitons and Fractals 78 Discrete and Continuous Dynamical Systems. Series B 77 International Journal of Control 76 Communications in Nonlinear Science and Numerical Simulation 74 Discrete Dynamics in Nature and Society 69 Nonlinear Dynamics 63 International Journal of Biomathematics 62 Applied Mathematics Letters 62 International Journal of Systems Science. Principles and Applications of Systems and Integration 54 International Journal of Robust and Nonlinear Control 51 Statistics & Probability Letters 46 Stochastics and Dynamics 42 Circuits, Systems, and Signal Processing 42 Stochastic Processes and their Applications 42 Journal of Applied Mathematics and Computing 34 Applied Numerical Mathematics 34 Applied Mathematical Modelling 34 International Journal of Computer Mathematics 34 Stochastics 33 Mathematics and Computers in Simulation 33 Asian Journal of Control 32 Journal of Applied Mathematics 31 Journal of Differential Equations 29 Complexity 28 International Journal of Systems Science 28 SIAM Journal on Control and Optimization 28 Filomat 28 Mathematical Biosciences and Engineering 24 Computers & Mathematics with Applications 24 BIT 24 Journal of Inequalities and Applications 24 Journal of Applied Analysis and Computation 23 Information Sciences 23 Chaos 22 Journal of Mathematical Biology 21 Journal of Systems Science and Complexity 20 Journal of Optimization Theory and Applications 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Neural Networks 20 Nonlinear Analysis. Real World Applications 18 Numerical Algorithms 18 Journal of Nonlinear Science 17 Applicable Analysis 17 Optimal Control Applications & Methods 17 Journal of Difference Equations and Applications 17 Methodology and Computing in Applied Probability 16 Mathematical Methods in the Applied Sciences 15 Acta Applicandae Mathematicae 15 Journal of Theoretical Probability 14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 14 Computational and Applied Mathematics 13 Journal of Biological Dynamics 13 Frontiers of Mathematics in China 13 Journal of Nonlinear Science and Applications 12 Fuzzy Sets and Systems 12 Mathematical and Computer Modelling 12 The Annals of Applied Probability 12 Journal of Dynamics and Differential Equations 12 Acta Mathematica Sinica. English Series 11 Journal of Mathematical Physics 11 Applied Mathematics and Optimization 11 Differential Equations and Dynamical Systems 11 Science China. Mathematics 11 Journal of Theoretical Biology 10 Mathematical Biosciences 10 Physics Letters. A 10 Proceedings of the American Mathematical Society 10 SIAM Journal on Numerical Analysis 10 Automation and Remote Control 10 Nonlinear Analysis. Modelling and Control 9 Bulletin of Mathematical Biology 9 Journal of Applied Probability 9 Signal Processing 9 International Journal of Adaptive Control and Signal Processing 9 Random Operators and Stochastic Equations 9 Qualitative Theory of Dynamical Systems 9 Discrete and Continuous Dynamical Systems. Series S 9 Mathematical Control and Related Fields 9 AIMS Mathematics 8 Advances in Applied Probability 8 Acta Mathematicae Applicatae Sinica. English Series 8 SIAM Journal on Applied Mathematics 8 Discrete and Continuous Dynamical Systems 8 Journal of Mathematical Chemistry 8 International Journal of Nonlinear Sciences and Numerical Simulation 8 Stochastic Models 8 Acta Mathematica Scientia. Series B. (English Edition) 8 Communications on Pure and Applied Analysis ...and 268 more Serials
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### Cited in 41 Fields

 2,796 Probability theory and stochastic processes (60-XX) 1,794 Systems theory; control (93-XX) 1,510 Ordinary differential equations (34-XX) 1,347 Biology and other natural sciences (92-XX) 673 Numerical analysis (65-XX) 297 Dynamical systems and ergodic theory (37-XX) 180 Partial differential equations (35-XX) 173 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 163 Statistical mechanics, structure of matter (82-XX) 75 Operations research, mathematical programming (90-XX) 72 Statistics (62-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 59 Integral equations (45-XX) 59 Operator theory (47-XX) 56 Computer science (68-XX) 53 Difference and functional equations (39-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 26 Real functions (26-XX) 26 Information and communication theory, circuits (94-XX) 25 Combinatorics (05-XX) 14 Approximations and expansions (41-XX) 14 Mechanics of particles and systems (70-XX) 9 Fluid mechanics (76-XX) 9 Geophysics (86-XX) 7 Functional analysis (46-XX) 7 Quantum theory (81-XX) 6 Mechanics of deformable solids (74-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Measure and integration (28-XX) 3 Special functions (33-XX) 2 History and biography (01-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX)