Edit Profile (opens in new tab) Mao, Xuerong Compute Distance To: Compute 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: 327 Publications since 1983, including 5 Books Co-Authors: 143 Co-Authors with 253 Joint Publications 4,932 Co-Co-Authors all top 5 Co-Authors 72 single-authored 30 Yuan, Chenggui 26 Hu, Liangjian 19 Mao, Wei 17 Li, Xiaoyue 17 Liu, Wei 15 Fei, Weiyin 14 Liao, Xiao Xin 13 Wu, Fuke 12 Rodkina, Alexandra 11 Higham, Desmond J. 10 Greenhalgh, David 10 Luo, Qi 10 You, Surong 9 Appleby, John A. D. 9 Huang, Lirong 8 Fei, Chen 7 Deng, Feiqi 7 Lu, Jianqiu 7 Shen, Mingxuan 6 Gray, Alison J. 6 Guo, Qian 6 Lam, James 6 Matasov, Alexander I. 6 Szpruch, Lukasz 6 Yin, Gang George 5 Cai, Yongmei 5 Kolmanovskii, Vladimir Borisovich 5 Pan, Jiafeng 4 Bahar, Arifah 4 Cai, Siyang 4 Deng, Shounian 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 43 more Co-Authors all top 5 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 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 Stochastics 3 BIT 3 Journal of Theoretical Probability 3 SIAM Journal on Mathematical Analysis 3 Discrete and Continuous Dynamical Systems 3 Nonlinear Analysis. Hybrid Systems 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 Physica A 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 all top 5 Fields 252 Probability theory and stochastic processes (60-XX) 144 Systems theory; control (93-XX) 118 Ordinary differential equations (34-XX) 66 Numerical analysis (65-XX) 42 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) 6 Difference and functional equations (39-XX) 6 Statistics (62-XX) 4 Real functions (26-XX) 4 Partial differential equations (35-XX) 4 Computer science (68-XX) 3 Integral equations (45-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) 2 Statistical mechanics, structure of matter (82-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 284 Publications have been cited 10,727 times in 4,412 Documents Cited by ▼ Year ▼ Stochastic differential equations with Markovian switching. Zbl 1126.60002Mao, Xuerong; Yuan, Chenggui 692 2006 Stochastic differential equations and their applications. Zbl 0892.60057Mao, Xuerong 516 1997 Environmental Brownian noise suppresses explosions in population dynamics. Zbl 1058.60046Mao, Xuerong; Marion, Glenn; Renshaw, Eric 401 2002 Stability of large-scale neutral type stochastic differential equations. Zbl 0874.60050Liao, X. X.; Mao, X. 341 1997 Stability of stochastic differential equations with Markovian switching. Zbl 0962.60043Mao, Xuerong 309 1999 Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M. 286 2002 A stochastic differential equation SIS epidemic model. Zbl 1263.34068Gray, A.; Greenhalgh, D.; Hu, L.; Mao, X.; Pan, J. 271 2011 Delay-dependent \(H_{\infty}\) control and filtering for uncertain Markovian jump systems with time-varying delays. Zbl 1374.93134Xu, Shengyuan; Lam, James; Mao, Xuerong 204 2007 Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048Li, Xiaoyue; Mao, Xuerong 200 2009 Stochastic differential equations and applications. 2nd ed. Zbl 1138.60005Mao, Xuerong 200 2007 Exponential stability of stochastic delay interval systems with Markovian switching. Zbl 1364.93685Mao, Xuerong 186 2002 Competitive Lotka-Volterra population dynamics with jumps. Zbl 1228.93112Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui 158 2011 Stochastic population dynamics under regime switching. Zbl 1113.92052Luo, Qi; Mao, Xuerong 157 2007 Robustness of exponential stability of stochastic differential delay equations. Zbl 0851.93074Mao, X. 138 1996 Almost sure exponential stability of neutral stochastic differential difference equations. Zbl 0884.60052Liao, X. X.; Mao, X. 136 1997 Exponential stability of stochastic differential equations. Zbl 0806.60044Mao, Xuerong 132 1994 Stochastic delay Lotka–Volterra model. Zbl 1043.92034Bahar, Arifah; Mao, Xuerong 124 2004 Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching. Zbl 1205.92058Li, Xiaoyue; Gray, Alison; Jiang, Daqing; Mao, Xuerong 116 2011 A stochastic model for internal HIV dynamics. Zbl 1132.92015Dalal, Nirav; Greenhalgh, David; Mao, Xuerong 116 2008 Asymptotic behaviour of the stochastic Lotka-Volterra model. Zbl 1048.92027Mao, Xuerong; Sabanis, Sotirios; Renshaw, Eric 116 2003 Robust stability and controllability of stochastic differential delay equations with Markovian switching. Zbl 1040.93069Yuan, Chenggui; Mao, Xuerong 112 2004 A note on the LaSalle-type theorems for stochastic differential delay equations. Zbl 0996.60064Mao, Xuerong 111 2002 Stability of stochastic delay neural networks. Zbl 0991.93120Blythe, Steve; Mao, Xuerong; Liao, Xiaoxin 109 2001 Adapted solutions of backward stochastic differential equations with non- Lipschitz coefficients. Zbl 0835.60049Mao, Xuerong 104 1995 A stochastic model of AIDS and condom use. Zbl 1101.92037Dalal, Nirav; Greenhalgh, David; Mao, Xuerong 99 2007 Population dynamical behavior of Lotka-Volterra system under regime switching. Zbl 1173.60020Li, Xiaoyue; Jiang, Daqing; Mao, Xuerong 95 2009 Razumikhin-type theorems on exponential stability of stochastic functional differential equations. Zbl 0889.60062Mao, X. 95 1996 Numerical solutions of stochastic differential delay equations under local Lipschitz condition. Zbl 1015.65002Mao, Xuerong; Sabanis, Sotirios 91 2003 Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations. Zbl 1144.65005Higham, Desmond J.; Mao, Xuerong; Yuan, Chenggui 89 2007 Stability of stochastic differential equations with respect to semimartingales. Zbl 0724.60059Mao, Xuerong 88 1991 Stabilization and destabilization of hybrid systems of stochastic differential equations. Zbl 1111.93082Mao, Xuerong; Yin, G. George; Yuan, Chenggui 88 2007 Stochastic differential delay equations with Markovian switching. Zbl 0956.60060Mao, Xuerong; Matasov, Alexander; Piunovskiy, Aleksey B. 87 2000 Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations. Zbl 0876.60047Mao, Xuerong 82 1997 Almost sure exponential stability of numerical solutions for stochastic delay differential equations. Zbl 1193.65009Wu, Fuke; Mao, Xuerong; Szpruch, Lukas 82 2010 Stochastic versions of the LaSalle theorem. Zbl 0921.34057Mao, Xuerong 79 1999 The truncated Euler-Maruyama method for stochastic differential equations. Zbl 1330.65016Mao, Xuerong 78 2015 Exponential mean-square stability of numerical solutions to stochastic differential equations. Zbl 1055.65009Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M. 77 2003 Stochastic differential delay equations of population dynamics. Zbl 1062.92055Mao, Xuerong; Yuan, Chenggui; Zou, Jiezhong 77 2005 Stochastic population dynamics under regime switching. II. Zbl 1162.92032Luo, Qi; Mao, Xuerong 75 2009 Stationary distribution of stochastic population systems. Zbl 1387.60107Mao, Xuerong 74 2011 Asymptotic stability in distribution of stochastic differential equations with Markovian switching. Zbl 1075.60541Yuan, Chenggui; Mao, Xuerong 73 2003 Robust stability of uncertain stochastic differential delay equations. Zbl 0909.93054Mao, Xuerong; Koroleva, Natalia; Rodkina, Alexandra 72 1998 Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients. Zbl 1262.65012Mao, Xuerong; Szpruch, Lukasz 71 2013 Stochastic delay population dynamics. Zbl 1043.92028Bahar, Arifah; Mao, Xuerong 70 2004 The SIS epidemic model with Markovian switching. Zbl 1271.92030Gray, Alison; Greenhalgh, David; Mao, Xuerong; Pan, Jiafeng 70 2012 Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching. Zbl 1143.60041Mao, Xuerong; Shen, Yi; Yuan, Chenggui 70 2008 Neutral stochastic differential delay equations with Markovian switching. Zbl 1025.60028Kolmanovskii, V.; Koroleva, N.; Maizenberg, T.; Mao, X.; Matasov, A. 66 2003 Exponential stability and instability of stochastic neural networks. Zbl 0848.60058Liao, X. X.; Mao, X. 65 1996 Stochastic stabilization and destabilization. Zbl 0820.93071Mao, Xuerong 64 1994 Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. Zbl 1315.93083Mao, Xuerong 61 2013 Khasminskii-type theorems for stochastic differential delay equations. Zbl 1082.60055Mao, Xuerong; Rassias, Matina John 59 2005 Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042Yang, Qingshan; Mao, Xuerong 58 2013 Stabilisation of hybrid stochastic differential equations by delay feedback control. Zbl 1149.93027Mao, Xuerong; Lam, James; Huang, Lirong 56 2008 Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036Mao, Xuerong 55 2016 New criteria on exponential stability of neutral stochastic differential delay equations. Zbl 1100.93048Luo, Qi; Mao, Xuerong; Shen, Yi 55 2006 Exponential stability of equidistant Euler-Maruyama approximations of stochastic differential delay equations. Zbl 1114.65005Mao, Xuerong 55 2007 Stabilization and destabilization of nonlinear differential equations by noise. Zbl 1367.93692Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra 54 2008 Exponential stability in mean square of neutral stochastic differential functional equations. Zbl 0877.93133Mao, Xuerong 53 1995 Strong convergence rates for backward Euler-Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients. Zbl 1304.65009Mao, Xuerong; Szpruch, Lukasz 51 2013 Stabilization of hybrid systems by feedback control based on discrete-time state observations. Zbl 1337.60133You, Surong; Liu, Wei; Lu, Jianqiu; Mao, Xuerong; Qiu, Qinwei 50 2015 Exponential stability of stochastic delay interval systems. Zbl 0949.60068Liao, X. X.; Mao, X. 48 2000 Stochastic stabilisation of functional differential equations. Zbl 1129.34330Appleby, John A. D.; Mao, Xuerong 47 2005 Numerical solutions of neutral stochastic functional differential equations. Zbl 1173.65004Wu, Fuke; Mao, Xuerong 47 2008 The improved LaSalle-type theorems for stochastic functional differential equations. Zbl 1090.60059Shen, Yi; Luo, Qi; Mao, Xuerong 46 2006 Stochastic stabilization of hybrid differential equations. Zbl 1257.93103Deng, Feiqi; Luo, Qi; Mao, Xuerong 46 2012 Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu 45 2011 Numerical solutions of stochastic functional differential equations. Zbl 1055.65011Mao, Xuerong 44 2003 Delay-dependent exponential stability of neutral stochastic delay systems. Zbl 1367.93511Huang, Lirong; Mao, Xuerong 43 2009 Numerical solutions of stochastic differential delay equations under the generalized Khasminskii-type conditions. Zbl 1215.65015Mao, Xuerong 42 2011 On input-to-state stability of stochastic retarded systems with Markovian switching. Zbl 1367.93597Huang, Lirong; Mao, Xuerong 42 2009 Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations. Zbl 1297.93176Mao, Xuerong; Liu, Wei; Hu, Liangjian; Luo, Qi; Lu, Jianqiu 41 2014 Convergence of the Euler–Maruyama method for stochastic differential equations with Markovian switching. Zbl 1044.65007Yuan, Chenggui; Mao, Xuerong 40 2004 Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1369.93693Hu, Liangjian; Mao, Xuerong; Zhang, Liguo 40 2013 Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1259.93127Hu, Liangjian; Mao, Xuerong; Shen, Yi 39 2013 Asymptotic properties of neutral stochastic differential delay equations. Zbl 0964.60066Mao, Xuerong 37 2000 Delay population dynamics and environmental noise. Zbl 1093.60033Mao, Xuerong 37 2005 Asymptotic properties of stochastic population dynamics. Zbl 1171.34038Pang, Sulin; Deng, Feiqi; Mao, Xuerong 37 2008 Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517Mao, Xuerong 36 2016 LaSalle-type theorems for stochastic differential delay equations. Zbl 0958.60057Mao, Xuerong 36 1999 Razumikhin method and exponential stability of hybrid stochastic delay interval systems. Zbl 1127.60072Mao, Xuerong; Lam, James; Xu, Shengyuan; Gao, Huijun 36 2006 Stochastic functional differential equations with Markovian switching. Zbl 1034.60063Mao, X. 36 1999 Stability of singular stochastic systems with Markovian switching. Zbl 1368.93767Huang, Lirong; Mao, Xuerong 35 2011 Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1141.65006Pang, Sulin; Deng, Feiqi; Mao, Xuerong 34 2008 Almost sure exponential stabilisation of stochastic systems by state-feedback control. Zbl 1283.93303Hu, Liangjian; Mao, Xuerong 33 2008 Exponential stability of non-linear stochastic evolution equations. Zbl 0933.60072Liu, Kai; Mao, Xuerong 32 1998 Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz 32 2013 Noise suppresses or expresses exponential growth. Zbl 1157.93515Deng, Feiqi; Luo, Qi; Mao, Xuerong; Pang, Sulin 32 2008 Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong 32 2018 A note on almost sure asymptotic stability of neutral stochastic delay differential equations with Markovian switching. Zbl 1257.93106Li, Xiaoyue; Mao, Xuerong 30 2012 Numerical method for stationary distribution of stochastic differential equations with Markovian switching. Zbl 1066.65016Mao, Xuerong; Yuan, Chenggui; Yin, G. 28 2005 Stability analysis of continuous-time switched systems with a random switching signal. Zbl 1360.93756Xiong, Junlin; Lam, James; Shu, Zhan; Mao, Xuerong 28 2014 Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations. Zbl 1329.65018Liu, Wei; Mao, Xuerong 28 2013 Mean square stability of stochastic Volterra integro-differential equations. Zbl 1129.34332Mao, X.; Riedle, M. 28 2006 Stability in distribution of stochastic differential delay equations with Markovian switching. Zbl 1157.60330Yuan, Chenggui; Zou, Jiezhong; Mao, Xuerong 28 2003 Stability of stochastic neural networks. Zbl 1060.92502Liao, X. X.; Mao, X. 28 1996 Robust delayed-state-feedback stabilization of uncertain stochastic systems. Zbl 1162.93389Huang, Lirong; Mao, Xuerong 27 2009 Almost sure exponential stability of backward Euler-Maruyama discretizations for hybrid stochastic differential equations. Zbl 1227.65012Mao, Xuerong; Shen, Yi; Gray, Alison 27 2011 The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications. Zbl 1157.60061Yin, Juliang; Mao, Xuerong 26 2008 Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations. Zbl 1232.60046Luo, Qi; Mao, Xuerong; Shen, Yi 25 2011 SMC design for robust \(H^{\infty}\) control of uncertain stochastic delay systems. Zbl 1205.93041Huang, Lirong; Mao, Xuerong 25 2010 On exponential stability of hybrid neutral stochastic differential delay equations with different structures. Zbl 1478.93563Wu, Aiqing; You, Surong; Mao, Wei; Mao, Xuerong; Hu, Liangjian 2 2021 Exponential stabilization by delay feedback control for highly nonlinear hybrid stochastic functional differential equations with infinite delay. Zbl 1483.93527Mei, Chunhui; Fei, Chen; Fei, Weiyin; Mao, Xuerong 2 2021 Positivity preserving truncated Euler-Maruyama method for stochastic Lotka-Volterra competition model. Zbl 1465.65008Mao, Xuerong; Wei, Fengying; Wiriyakraikul, Teerapot 2 2021 Truncated EM numerical method for generalised Ait-Sahalia-type interest rate model with delay. Zbl 1448.62146Emmanuel, Coffie; Mao, Xuerong 2 2021 Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations. Zbl 1481.65022Li, Xiaoyue; Mao, Xuerong; Yang, Hongfu 1 2021 Stabilization and destabilization of hybrid systems by periodic stochastic controls. Zbl 1478.93716Li, Xiaoyue; Liu, Wei; Mao, Xuerong; Zhao, Junsheng 1 2021 Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control. Zbl 1430.93166Li, Xiaoyue; Mao, Xuerong 14 2020 Stabilization of highly nonlinear hybrid systems by feedback control based on discrete-time state observations. Zbl 07256402Fei, Chen; Fei, Weiyin; Mao, Xuerong; Xia, Dengfeng; Yan, Litan 12 2020 Truncated Euler-Maruyama method for classical and time-changed non-autonomous stochastic differential equations. Zbl 1456.65007Liu, Wei; Mao, Xuerong; Tang, Jingwen; Wu, Yue 7 2020 Advances in stabilization of hybrid stochastic differential equations by delay feedback control. Zbl 1456.60148Hu, Junhao; Liu, Wei; Deng, Feiqi; Mao, Xuerong 4 2020 Stabilisation by delay feedback control for highly nonlinear neutral stochastic differential equations. Zbl 1441.93221Shen, Mingxuan; Fei, Chen; Fei, Weiyin; Mao, Xuerong 4 2020 The asymptotic stability of hybrid stochastic systems with pantograph delay and non-Gaussian Lévy noise. Zbl 1429.93407Mao, Wei; Hu, Liangjian; Mao, Xuerong 3 2020 Stochastic delay foraging arena predator-prey system with Markov switching. Zbl 1437.37115Cai, Yongmei; Cai, Siyang; Mao, Xuerong 3 2020 Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay. Zbl 1443.60064Mao, Wei; Hu, Liangjian; Mao, Xuerong 3 2020 The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients. Zbl 07126160Yang, Hao; Wu, Fuke; Kloeden, Peter E.; Mao, Xuerong 2 2020 Advances in the LaSalle-type theorems for stochastic functional differential equations with infinite delay. Zbl 1431.34087Wang, Ya; Wu, Fuke; Mao, Xuerong; Zhu, Enwen 2 2020 Advances in the truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1462.60073Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Xia, Dengfeng 2 2020 Delay feedback control for switching diffusion systems based on discrete-time observations. Zbl 07268419Li, Xiaoyue; Mao, Xuerong; Mukama, Denis S.; Yuan, Chenggui 2 2020 The truncated EM method for stochastic differential equations with Poisson jumps. Zbl 1426.60070Deng, Shounian; Fei, Weiyin; Liu, Wei; Mao, Xuerong 13 2019 Stability of highly nonlinear hybrid stochastic integro-differential delay equations. Zbl 1409.45007Fei, Chen; Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Yan, Litan 10 2019 A stochastic differential equation SIS epidemic model with two independent Brownian motions. Zbl 1415.92173Cai, Siyang; Cai, Yongmei; Mao, Xuerong 10 2019 Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations. Zbl 1420.60073Lu, Zhenyu; Hu, Junhao; Mao, Xuerong 9 2019 Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in \(p\)th moment and stability. Zbl 1461.65007Li, Xiaoyue; Mao, Xuerong; Yin, George 8 2019 The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients. Zbl 1420.60074Mao, Wei; Hu, Liangjian; You, Surong; Mao, Xuerong 7 2019 Stability equivalence between the stochastic differential delay equations driven by \(G\)-Brownian motion and the Euler-Maruyama method. Zbl 1425.34090Deng, Shounian; Fei, Chen; Fei, Weiyin; Mao, Xuerong 7 2019 Razumikhin-type theorem for stochastic functional differential systems via vector Lyapunov function. Zbl 1464.34105Liu, Lei; Mao, Xuerong; Cao, Jinde 5 2019 Robust quantised control of hybrid stochastic systems based on discrete-time state and mode observations. Zbl 1421.93045Song, Gongfei; Mao, Xuerong; Li, Tao 5 2019 Stability in distribution of stochastic functional differential equations. Zbl 1425.93299Wang, Ya; Wu, Fuke; Mao, Xuerong 4 2019 Generalized criteria on delay-dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1410.93135Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan 4 2019 Convergence of the split-step \(\theta\)-method for stochastic age-dependent population equations with Markovian switching and variable delay. Zbl 1415.92147Deng, Shounian; Fei, Weiyin; Liang, Yong; Mao, Xuerong 4 2019 A stochastic differential equation SIS epidemic model with two correlated Brownian motions. Zbl 1430.37109Cai, Siyang; Cai, Yongmei; Mao, Xuerong 4 2019 Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching. Zbl 1438.60077Mao, Wei; Hu, Liangjian; Mao, Xuerong 2 2019 Asymptotic boundedness and stability of solutions to hybrid stochastic differential equations with jumps and the Euler-Maruyama approximation. Zbl 1404.60086Mao, Wei; Hu, Liangjian; Mao, Xuerong 2 2019 Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations. Zbl 1459.60122Fei, Chen; Fei, Weiyin; Mao, Xuerong; Shen, Mingxuan; Yan, Litan 1 2019 Stability analysis for continuous-time switched systems with stochastic switching signals. Zbl 1423.93407Wu, Xiaotai; Tang, Yang; Cao, Jinde; Mao, Xuerong 32 2018 Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1458.65008Hu, Liangjian; Li, Xiaoyue; Mao, Xuerong 16 2018 Stability of highly nonlinear neutral stochastic differential delay equations. Zbl 1390.93843Shen, Mingxuan; Fei, Weiyin; Mao, Xuerong; Liang, Yong 16 2018 The truncated Euler-Maruyama method for stochastic differential delay equations. Zbl 1414.60043Guo, Qian; Mao, Xuerong; Yue, Rongxian 15 2018 The truncated milstein method for stochastic differential equations with commutative noise. Zbl 06860317Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian 13 2018 Structured robust stability and boundedness of nonlinear hybrid delay systems. Zbl 1394.93343Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan 11 2018 Stochastic prey-predator system with foraging arena scheme. Zbl 1480.92166Cai, Yongmei; Mao, Xuerong 7 2018 Almost sure exponential stability of hybrid stochastic functional differential equations. Zbl 1380.34121Song, Minghui; Mao, Xuerong 6 2018 A note on the partially truncated Euler-Maruyama method. Zbl 1397.65017Guo, Qian; Liu, Wei; Mao, Xuerong 6 2018 Approximate solutions for a class of doubly perturbed stochastic differential equations. Zbl 1445.60042Mao, Wei; Hu, Liangjian; Mao, Xuerong 3 2018 Robust discrete-state-feedback stabilization of hybrid stochastic systems with time-varying delay based on Razumikhin technique. Zbl 1388.93097Li, Yuyuan; Lu, Jianqiu; Kou, Chunhai; Mao, Xuerong; Pan, Jiafeng 3 2018 Delay dependent stability of highly nonlinear hybrid stochastic systems. Zbl 1376.93115Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan 23 2017 The partially truncated Euler-Maruyama method and its stability and boundedness. Zbl 1358.65008Guo, Qian; Liu, Wei; Mao, Xuerong; Yue, Rongxian 21 2017 On \(p\)th moment stabilization of hybrid systems by discrete-time feedback control. Zbl 1373.93362Dong, Ran; Mao, Xuerong 7 2017 Stabilization of hybrid systems by feedback control based on discrete-time state and mode observations. Zbl 1386.93238Li, Yuyuan; Lu, Jianqiu; Mao, Xuerong; Qiu, Qinwei 6 2017 Almost sure stability of the Euler-Maruyama method with random variable stepsize for stochastic differential equations. Zbl 1371.65010Liu, Wei; Mao, Xuerong 6 2017 Optimal transient growth on a vortex ring and its transition via cascade of ringlets. Zbl 1419.76268Mao, X.; Hussain, F. 4 2017 Robust stabilization of hybrid uncertain stochastic systems by discrete-time feedback control. Zbl 1373.93366Li, Yuyuan; Lu, Jianqiu; Kou, Chunhai; Mao, Xuerong; Pan, Jiafeng 3 2017 Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition. Zbl 1422.34238Mao, Wei; Hu, Liangjian; Mao, Xuerong 2 2017 Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations. Zbl 1378.65036Mao, Xuerong 55 2016 Almost sure exponential stabilization by discrete-time stochastic feedback control. Zbl 1359.93517Mao, Xuerong 36 2016 Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching. Zbl 1400.92484Greenhalgh, D.; Liang, Y.; Mao, X. 24 2016 Almost sure exponential stability of stochastic differential delay equations. Zbl 1343.60072Guo, Qian; Mao, Xuerong; Yue, Rongxian 23 2016 SDE SIS epidemic model with demographic stochasticity and varying population size. Zbl 1410.92120Greenhalgh, D.; Liang, Y.; Mao, X. 11 2016 Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching. Zbl 1349.93329Feng, Lichao; Li, Shoumei; Mao, Xuerong 10 2016 On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps. Zbl 1382.65021Mao, Wei; You, Surong; Mao, Xuerong 10 2016 Stabilization of stochastic differential equations with Markovian switching by feedback control based on discrete-time state observation with a time delay. Zbl 1344.60059Qiu, Qinwei; Liu, Wei; Hu, Liangjian; Mao, Xuerong; You, Surong 9 2016 A stochastic differential equation model for the spread of HIV amongst people who inject drugs. Zbl 1348.92156Liang, Yanfeng; Greenhalgh, David; Mao, Xuerong 6 2016 Stationary distribution of stochastic SIRS epidemic model with standard incidence. Zbl 1354.92100Zhao, Yanan; Lin, Yuguo; Jiang, Daqing; Mao, Xuerong; Li, Yong 5 2016 Hopf bifurcation control for a class of delay differential systems with discrete-time delayed feedback controller. Zbl 1378.34085Su, Huan; Mao, Xuerong; Li, Wenxue 4 2016 An averaging principle for neutral stochastic functional differential equations driven by Poisson random measure. Zbl 1419.60046Mao, Wei; Mao, Xuerong 3 2016 The truncated Euler-Maruyama method for stochastic differential equations. Zbl 1330.65016Mao, Xuerong 78 2015 Stabilization of hybrid systems by feedback control based on discrete-time state observations. Zbl 1337.60133You, Surong; Liu, Wei; Lu, Jianqiu; Mao, Xuerong; Qiu, Qinwei 50 2015 Almost sure exponential stability in the numerical simulation of stochastic differential equations. Zbl 1327.65016Mao, Xuerong 17 2015 The threshold of a stochastic SIRS epidemic model in a population with varying size. Zbl 1333.60148Gray, Alison; Mao, Xuerong; Jiang, Daqing; Zhao, Yanan 16 2015 Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients. Zbl 1410.34175You, Surong; Mao, Wei; Mao, Xuerong; Hu, Liangjian 16 2015 Numerical stationary distribution and its convergence for nonlinear stochastic differential equations. Zbl 1310.65009Liu, Wei; Mao, Xuerong 8 2015 Existence, uniqueness and almost surely asymptotic estimations of the solutions to neutral stochastic functional differential equations driven by pure jumps. Zbl 1410.34245Mao, Wei; Zhu, Quanxin; Mao, Xuerong 8 2015 On the averaging principle for stochastic delay differential equations with jumps. Zbl 1346.60087Mao, Wei; You, Surong; Wu, Xiaoqian; Mao, Xuerong 6 2015 Demographic stochasticity in the SDE SIS epidemic model. Zbl 1326.34081Greenhalgh, David; Liang, Yanfeng; Mao, Xuerong 5 2015 Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations. Zbl 1348.60088You, Surong; Hu, Liangjian; Mao, Wei; Mao, Xuerong 4 2015 The existence and asymptotic estimations of solutions to stochastic pantograph equations with diffusion and Lévy jumps. Zbl 1410.60063Mao, Wei; Hu, Liangjian; Mao, Xuerong 3 2015 Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations. Zbl 1297.93176Mao, Xuerong; Liu, Wei; Hu, Liangjian; Luo, Qi; Lu, Jianqiu 41 2014 Stability analysis of continuous-time switched systems with a random switching signal. Zbl 1360.93756Xiong, Junlin; Lam, James; Shu, Zhan; Mao, Xuerong 28 2014 Stochastic dynamics of SIRS epidemic models with random perturbation. Zbl 1306.92064Yang, Qingshan; Mao, Xuerong 24 2014 Mean square polynomial stability of numerical solutions to a class of stochastic differential equations. Zbl 1294.60094Liu, Wei; Foondun, Mohammud; Mao, Xuerong 6 2014 On the approximations of solutions to neutral SDEs with Markovian switching and jumps under non-Lipschitz conditions. Zbl 1410.34244Mao, Wei; Mao, Xuerong 6 2014 Parameter estimation for the stochastic SIS epidemic model. Zbl 1333.62282Pan, Jiafeng; Gray, Alison; Greenhalgh, David; Mao, Xuerong 3 2014 A note on exponential almost sure stability of stochastic differential equation. Zbl 1286.60054Mao, Xuerong; Song, Qingshuo; Yang, Dichuan 1 2014 Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients. Zbl 1262.65012Mao, Xuerong; Szpruch, Lukasz 71 2013 Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. Zbl 1315.93083Mao, Xuerong 61 2013 Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Zbl 1263.92042Yang, Qingshan; Mao, Xuerong 58 2013 Strong convergence rates for backward Euler-Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients. Zbl 1304.65009Mao, Xuerong; Szpruch, Lukasz 51 2013 Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1369.93693Hu, Liangjian; Mao, Xuerong; Zhang, Liguo 40 2013 Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Zbl 1259.93127Hu, Liangjian; Mao, Xuerong; Shen, Yi 39 2013 Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz 32 2013 Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations. Zbl 1329.65018Liu, Wei; Mao, Xuerong 28 2013 Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations. Zbl 1270.65005Wu, Fuke; Mao, Xuerong; Kloeden, Peter E. 16 2013 Khasminskii-type theorems for stochastic functional differential equations. Zbl 1281.34128Song, Minghui; Hu, Liangjian; Mao, Xuerong; Zhang, Liguo 13 2013 Mean exit times and the multilevel Monte Carlo method. Zbl 1282.65020Higham, Desmond J.; Mao, Xuerong; Roj, Mikolaj; Song, Qingshuo; Yin, George 12 2013 Delay geometric Brownian motion in financial option valuation. Zbl 1291.60122Mao, Xuerong; Sabanis, Sotirios 7 2013 Asymptotic moment boundedness of the numerical solutions of stochastic differential equations. Zbl 1288.65009Liu, Wei; Mao, Xuerong 4 2013 A systematic derivation of stochastic Taylor methods for stochastic delay differential equations. Zbl 1281.65015Rosli, Norhayati; Bahar, Arifah; Yeak, S. H.; Mao, X. 1 2013 Razumikhin-type theorems on exponential stability of SDDEs containing singularly perturbed random processes. Zbl 1279.60069Hu, Junhao; Mao, Xuerong; Yuan, Chenggui 1 2013 The SIS epidemic model with Markovian switching. Zbl 1271.92030Gray, Alison; Greenhalgh, David; Mao, Xuerong; Pan, Jiafeng 70 2012 Stochastic stabilization of hybrid differential equations. Zbl 1257.93103Deng, Feiqi; Luo, Qi; Mao, Xuerong 46 2012 ...and 184 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,405 Authors 199 Mao, Xuerong 175 Jiang, Daqing 74 Wang, Ke 71 Liu, Meng 67 Hayat, Tasawar 67 Liu, Qun 67 Yuan, Chenggui 64 Wu, Fuke 64 Zhu, Quanxin 54 Deng, Feiqi 51 Al-saedi, Ahmed Eid Salem 51 Yin, George Gang 47 Cao, Jinde 41 Zhang, Qimin 37 Park, Juhyun (Jessie) 37 Yuan, Sanling 37 Zhang, Weihai 36 Li, Wenxue 34 Shi, Peng 32 Xu, Shengyuan 32 Zhang, Qingling 31 Caraballo Garrido, Tomás 30 Balasubramaniam, Pagavathigounder 30 Lam, James 30 Rodkina, Alexandra 29 Li, Xiaoyue 29 Meng, Xinzhu 28 Huang, Chengming 28 Liu, Fei 28 Yin, Gang George 27 Hu, Liangjian 27 Zhou, Wuneng 26 Ding, Xiaohua 26 Hu, Shigeng 25 Wang, Guoliang 25 Wang, Zidong 24 Bao, Jianhai 24 Xi, Fubao 23 Appleby, John A. D. 23 Fan, Shengjun 23 Su, Huan 23 Zhang, Tonghua 23 Zhong, Shou-Ming 22 Gan, Siqing 22 Kao, Yonggui 22 Liu, Xinzhi 22 Ren, Yong 22 Shi, Ningzhong 22 Xia, Jianwei 22 Zou, Xiaoling 21 Ji, Chunyan 21 Liu, Zhijun 21 Nguyen, Dang Hai 21 Zhu, Chao 20 Fang, Jian’an 20 Liu, Wei 20 Song, Minghui 20 Zhang, Xinhong 19 Hu, Junhao 19 O’Regan, Donal 18 El Fatini, Mohamed 18 He, Shuping 18 Lv, Jingliang 18 Nguyen Huu Du 18 Shen, Yi 18 Teng, Zhi-dong 18 Wang, Weiming 17 Chen, Huabin 17 Fei, Weiyin 17 Karimi, Hamid Reza 17 Kloeden, Peter Eris 17 Lahrouz, Aadil 17 Liu, Lei 17 Liu, Mingzhu 17 Shao, Jinghai 17 Sun, Ji Tao 17 Zhou, Shaobo 17 Zhuang, Guangming 16 Jiang, Long 16 Mao, Wei 16 Wan, Li 16 Wang, Zhen 15 Jiang, Feng 15 Mu, Xiaowu 15 Settati, Adel 15 Wang, Linshan 15 Zhao, Dianli 15 Zhao, Yanan 14 Feng, Tao 14 Guo, Qian 14 Hu, Guixin 14 Jentzen, Arnulf 14 Liu, Kai 14 Luo, Qi 14 Tong, Jinying 14 Wang, Xiaojie 14 Wei, Fengying 14 Wu, Zhengguang 14 Zhang, Yan 14 Zhang, Zhenzhong ...and 4,305 more Authors all top 5 Cited in 361 Serials 298 Applied Mathematics and Computation 230 Journal of the Franklin Institute 187 Advances in Difference Equations 140 Journal of Computational and Applied Mathematics 129 Stochastic Analysis and Applications 125 Automatica 119 Journal of Mathematical Analysis and Applications 109 Abstract and Applied Analysis 104 Mathematical Problems in Engineering 99 Nonlinear Analysis. Hybrid Systems 97 Physica A 97 Systems & Control Letters 79 Chaos, Solitons and Fractals 74 International Journal of Control 74 Discrete Dynamics in Nature and Society 73 Communications in Nonlinear Science and Numerical Simulation 73 Discrete and Continuous Dynamical Systems. Series B 69 Nonlinear Dynamics 61 International Journal of Systems Science. Principles and Applications of Systems and Integration 60 Applied Mathematics Letters 60 International Journal of Biomathematics 54 International Journal of Robust and Nonlinear Control 49 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 Mathematical Modelling 34 International Journal of Computer Mathematics 33 Asian Journal of Control 32 Mathematics and Computers in Simulation 32 Applied Numerical Mathematics 32 Journal of Applied Mathematics 30 Journal of Differential Equations 29 Complexity 28 International Journal of Systems Science 26 SIAM Journal on Control and Optimization 26 Filomat 24 Journal of Inequalities and Applications 24 Journal of Applied Analysis and Computation 23 Computers & Mathematics with Applications 23 BIT 23 Information Sciences 23 Chaos 21 Journal of Mathematical Biology 21 Mathematical Biosciences and Engineering 20 Journal of Optimization Theory and Applications 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Neural Networks 20 Journal of Systems Science and Complexity 19 Nonlinear Analysis. Real World Applications 18 Numerical Algorithms 18 Journal of Nonlinear Science 17 Optimal Control Applications & Methods 17 Journal of Difference Equations and Applications 17 Methodology and Computing in Applied Probability 17 Stochastics 16 Applicable Analysis 16 Mathematical Methods in the Applied Sciences 15 Journal of Theoretical Probability 14 Acta Applicandae Mathematicae 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Computational and Applied Mathematics 13 Frontiers of Mathematics in China 13 Journal of Nonlinear Science and Applications 12 Fuzzy Sets and Systems 12 Mathematical and Computer Modelling 12 Acta Mathematica Sinica. English Series 12 Journal of Biological Dynamics 11 Journal of Mathematical Physics 11 Applied Mathematics and Optimization 11 The Annals of Applied Probability 11 Differential Equations and Dynamical Systems 11 Science China. Mathematics 11 Journal of Theoretical Biology 10 Mathematical Biosciences 10 Physics Letters. A 10 SIAM Journal on Numerical Analysis 10 Automation and Remote Control 10 Journal of Dynamics and Differential Equations 9 Proceedings of the American Mathematical Society 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 Nonlinear Analysis. Modelling and Control 9 Discrete and Continuous Dynamical Systems. Series S 9 AIMS Mathematics 8 Advances in Applied Probability 8 Bulletin of Mathematical Biology 8 Journal of 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 Communications on Pure and Applied Analysis 8 Mediterranean Journal of Mathematics 8 Mathematical Control and Related Fields 7 Journal of Statistical Physics 7 Journal of Biological Systems ...and 261 more Serials all top 5 Cited in 41 Fields 2,696 Probability theory and stochastic processes (60-XX) 1,755 Systems theory; control (93-XX) 1,444 Ordinary differential equations (34-XX) 1,261 Biology and other natural sciences (92-XX) 656 Numerical analysis (65-XX) 278 Dynamical systems and ergodic theory (37-XX) 171 Partial differential equations (35-XX) 167 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 93 Statistical mechanics, structure of matter (82-XX) 74 Operations research, mathematical programming (90-XX) 70 Statistics (62-XX) 64 Calculus of variations and optimal control; optimization (49-XX) 57 Integral equations (45-XX) 56 Computer science (68-XX) 54 Operator theory (47-XX) 53 Difference and functional equations (39-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 26 Information and communication theory, circuits (94-XX) 25 Combinatorics (05-XX) 24 Real functions (26-XX) 15 Approximations and expansions (41-XX) 13 Mechanics of particles and systems (70-XX) 9 Geophysics (86-XX) 8 Fluid mechanics (76-XX) 8 Quantum theory (81-XX) 7 Functional analysis (46-XX) 6 Mechanics of deformable solids (74-XX) 4 General and overarching topics; collections (00-XX) 4 Measure and integration (28-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Mathematical logic and foundations (03-XX) 2 History and biography (01-XX) 2 Special functions (33-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 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year