# zbMATH — the first resource for mathematics

## Bao, Jianhai

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 Author ID: bao.jianhai Published as: Bao, J.; Bao, Jian Hai; Bao, Jianhai
 Documents Indexed: 45 Publications since 2007, including 1 Book
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#### Co-Authors

 0 single-authored 35 Yuan, Chenggui 9 Wang, Feng-Yu 6 Hou, Zhenting 6 Yin, George Gang 3 Mao, Xuerong 3 Shao, Jinghai 2 Huang, Xing 2 Tong, Jinying 2 Truman, Aubrey 2 Zhang, Zhenzhong 1 Böttcher, Björn 1 Ren, Panpan 1 Song, Qingshuo 1 Wang, Fuxing 1 Wang, Leyi 1 Yin, Geroge
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#### Serials

 2 Journal of Mathematical Analysis and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Statistics & Probability Letters 2 Stochastic Analysis and Applications 2 Journal of Theoretical Probability 2 Stochastic Processes and their Applications 2 Stochastics 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Journal of Applied Probability 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Insurance Mathematics & Economics 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 Bulletin des Sciences Mathématiques 1 Electronic Journal of Probability 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 SpringerBriefs in Mathematics
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#### Fields

 39 Probability theory and stochastic processes (60-XX) 11 Ordinary differential equations (34-XX) 8 Numerical analysis (65-XX) 7 Partial differential equations (35-XX) 4 Operator theory (47-XX) 4 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 606 times in 413 Documents Cited by Year
Competitive Lotka-Volterra population dynamics with jumps. Zbl 1228.93112
Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui
2011
Stochastic population dynamics driven by Lévy noise. Zbl 1316.92063
Bao, Jianhai; Yuan, Chenggui
2012
Permanence and extinction of regime-switching predator-prey models. Zbl 1337.60147
Bao, Jianhai; Shao, Jinghai
2016
Existence of mild solutions to stochastic neutral partial functional differential equations with non-Lipschitz coefficients. Zbl 1189.60122
Bao, Jianhai; Hou, Zhenting
2010
Stability in distribution of neutral stochastic differential delay equations with Markovian switching. Zbl 1175.34103
Bao, Jianhai; Hou, Zhenting; Yuan, Chenggui
2009
Two-time-scale stochastic partial differential equations driven by $$\alpha$$-stable noises: averaging principles. Zbl 1360.60118
Bao, Jianhai; Yin, George; Yuan, Chenggui
2017
Stability in distribution of mild solutions to stochastic partial differential delay equations with jumps. Zbl 1186.60057
Bao, Jianhai; Truman, Aubrey; Yuan, Chenggui
2009
Large deviations for neutral functional SDEs with jumps. Zbl 1319.60124
Bao, Jianhai; Yuan, Chenggui
2015
Convergence rate of EM scheme for SDDEs. Zbl 1277.65006
Bao, Jianhai; Yuan, Chenggui
2013
Exponential stability of energy solutions to stochastic partial differential equations with variable delays and jumps. Zbl 1185.60069
Hou, Zhenting; Bao, Jianhai; Yuan, Chenggui
2010
Convergence rate of numerical solutions to SFDEs with jumps. Zbl 1236.65005
Bao, Jianhai; Böttcher, Björn; Mao, Xuerong; Yuan, Chenggui
2011
Stability in distribution of mild solutions to stochastic partial differential equations. Zbl 1195.60087
Bao, Jianhai; Hou, Zhenting; Yuan, Chenggui
2010
Transportation cost inequalities for neutral functional stochastic equations. Zbl 1290.65004
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2013
Comparison theorem for stochastic differential delay equations with jumps. Zbl 1230.34068
Bao, Jianhai; Yuan, Chenggui
2011
The stationary distribution of the facultative population model with a degenerate noise. Zbl 1402.92370
Tong, Jinying; Zhang, Zhenzhong; Bao, Jianhai
2013
Approximation of invariant measures for regime-switching diffusions. Zbl 1342.60087
Bao, Jianhai; Shao, Jinghai; Yuan, Chenggui
2016
Ergodicity for functional stochastic differential equations and applications. Zbl 1292.60058
Bao, Jianhai; Yin, George; Yuan, Chenggui
2014
Bismut formulae and applications for functional SPDEs. Zbl 1281.60058
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2013
Almost sure asymptotic stability of stochastic partial differential equations with jumps. Zbl 1222.60045
Bao, Jianhai; Truman, Aubrey; Yuan, Chenggui
2011
Numerical analysis for neutral SPDEs driven by $$\alpha$$-stable processes. Zbl 1322.65013
Bao, Jianhai; Yuan, Chenggui
2014
Exponential ergodicity for retarded stochastic differential equations. Zbl 1314.60110
Bao, Jianhai; Yin, George; Yuan, Chenggui; Wang, Le Yi
2014
Derivative formula and Harnack inequality for degenerate functional SDEs. Zbl 1262.60052
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2013
Blow-up for stochastic reaction-diffusion equations with jumps. Zbl 1341.60061
Bao, Jianhai; Yuan, Chenggui
2016
Hypercontractivity for functional stochastic differential equations. Zbl 1327.60093
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2015
Long-term behavior of stochastic interest rate models with jumps and memory. Zbl 1284.91558
Bao, Jianhai; Yuan, Chenggui
2013
Lyapunov exponents of hybrid stochastic heat equations. Zbl 1250.93122
Bao, Jianhai; Mao, Xuerong; Yuan, Chenggui
2012
Stationary distributions for retarded stochastic differential equations without dissipativity. Zbl 1379.60059
Bao, Jianhai; Yin, George; Yuan, Chenggui
2017
Hypercontractivity for functional stochastic partial differential equations. Zbl 1328.60145
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2015
Exponential stability in mean square of impulsive stochastic difference equations with continuous time. Zbl 1182.37031
Bao, Jianhai; Hou, Zhenting; Wang, Fuxing
2009
Asymptotic log-Harnack inequality and applications for stochastic systems of infinite memory. Zbl 1433.60032
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2019
Asymptotic analysis for functional stochastic differential equations. Zbl 06630614
Bao, Jianhai; Yin, George; Yuan, Chenggui
2016
Numerical approximation of stationary distributions for stochastic partial differential equations. Zbl 1314.60124
Bao, Jianhai; Yuan, Chenggui
2014
On the exponential stability of switching-diffusion processes with jumps. Zbl 1274.60209
Yuan, Chenggui; Bao, Jianhai
2013
An analytic approximation of solutions of stochastic differential delay equations with Markovian switching. Zbl 1185.65009
Bao, Jianhai; Hou, Zhenting
2009
Stabilization of partial differential equations by Lévy noise. Zbl 1251.60050
Bao, Jianhai; Yuan, Chenggui
2012
Limit theorems for additive functionals of path-dependent SDEs. Zbl 1457.60042
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2020
Convergence rate of Euler-Maruyama scheme for SDEs with Hölder-Dini continuous drifts. Zbl 1433.60072
Bao, Jianhai; Huang, Xing; Yuan, Chenggui
2019
Ergodicity and strong limit results for two-time-scale functional stochastic differential equations. Zbl 1388.60076
Bao, Jianhai; Song, Qingshuo; Yin, George; Yuan, Chenggui
2017
Limit theorems for additive functionals of path-dependent SDEs. Zbl 1457.60042
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2020
Asymptotic log-Harnack inequality and applications for stochastic systems of infinite memory. Zbl 1433.60032
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2019
Convergence rate of Euler-Maruyama scheme for SDEs with Hölder-Dini continuous drifts. Zbl 1433.60072
Bao, Jianhai; Huang, Xing; Yuan, Chenggui
2019
Two-time-scale stochastic partial differential equations driven by $$\alpha$$-stable noises: averaging principles. Zbl 1360.60118
Bao, Jianhai; Yin, George; Yuan, Chenggui
2017
Stationary distributions for retarded stochastic differential equations without dissipativity. Zbl 1379.60059
Bao, Jianhai; Yin, George; Yuan, Chenggui
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
2017
Permanence and extinction of regime-switching predator-prey models. Zbl 1337.60147
Bao, Jianhai; Shao, Jinghai
2016
Approximation of invariant measures for regime-switching diffusions. Zbl 1342.60087
Bao, Jianhai; Shao, Jinghai; Yuan, Chenggui
2016
Blow-up for stochastic reaction-diffusion equations with jumps. Zbl 1341.60061
Bao, Jianhai; Yuan, Chenggui
2016
Asymptotic analysis for functional stochastic differential equations. Zbl 06630614
Bao, Jianhai; Yin, George; Yuan, Chenggui
2016
Large deviations for neutral functional SDEs with jumps. Zbl 1319.60124
Bao, Jianhai; Yuan, Chenggui
2015
Hypercontractivity for functional stochastic differential equations. Zbl 1327.60093
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2015
Hypercontractivity for functional stochastic partial differential equations. Zbl 1328.60145
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2015
Ergodicity for functional stochastic differential equations and applications. Zbl 1292.60058
Bao, Jianhai; Yin, George; Yuan, Chenggui
2014
Numerical analysis for neutral SPDEs driven by $$\alpha$$-stable processes. Zbl 1322.65013
Bao, Jianhai; Yuan, Chenggui
2014
Exponential ergodicity for retarded stochastic differential equations. Zbl 1314.60110
Bao, Jianhai; Yin, George; Yuan, Chenggui; Wang, Le Yi
2014
Numerical approximation of stationary distributions for stochastic partial differential equations. Zbl 1314.60124
Bao, Jianhai; Yuan, Chenggui
2014
Convergence rate of EM scheme for SDDEs. Zbl 1277.65006
Bao, Jianhai; Yuan, Chenggui
2013
Transportation cost inequalities for neutral functional stochastic equations. Zbl 1290.65004
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2013
The stationary distribution of the facultative population model with a degenerate noise. Zbl 1402.92370
Tong, Jinying; Zhang, Zhenzhong; Bao, Jianhai
2013
Bismut formulae and applications for functional SPDEs. Zbl 1281.60058
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2013
Derivative formula and Harnack inequality for degenerate functional SDEs. Zbl 1262.60052
Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui
2013
Long-term behavior of stochastic interest rate models with jumps and memory. Zbl 1284.91558
Bao, Jianhai; Yuan, Chenggui
2013
On the exponential stability of switching-diffusion processes with jumps. Zbl 1274.60209
Yuan, Chenggui; Bao, Jianhai
2013
Stochastic population dynamics driven by Lévy noise. Zbl 1316.92063
Bao, Jianhai; Yuan, Chenggui
2012
Lyapunov exponents of hybrid stochastic heat equations. Zbl 1250.93122
Bao, Jianhai; Mao, Xuerong; Yuan, Chenggui
2012
Stabilization of partial differential equations by Lévy noise. Zbl 1251.60050
Bao, Jianhai; Yuan, Chenggui
2012
Competitive Lotka-Volterra population dynamics with jumps. Zbl 1228.93112
Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui
2011
Convergence rate of numerical solutions to SFDEs with jumps. Zbl 1236.65005
Bao, Jianhai; Böttcher, Björn; Mao, Xuerong; Yuan, Chenggui
2011
Comparison theorem for stochastic differential delay equations with jumps. Zbl 1230.34068
Bao, Jianhai; Yuan, Chenggui
2011
Almost sure asymptotic stability of stochastic partial differential equations with jumps. Zbl 1222.60045
Bao, Jianhai; Truman, Aubrey; Yuan, Chenggui
2011
Existence of mild solutions to stochastic neutral partial functional differential equations with non-Lipschitz coefficients. Zbl 1189.60122
Bao, Jianhai; Hou, Zhenting
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
2010
Stability in distribution of mild solutions to stochastic partial differential equations. Zbl 1195.60087
Bao, Jianhai; Hou, Zhenting; Yuan, Chenggui
2010
Stability in distribution of neutral stochastic differential delay equations with Markovian switching. Zbl 1175.34103
Bao, Jianhai; Hou, Zhenting; Yuan, Chenggui
2009
Stability in distribution of mild solutions to stochastic partial differential delay equations with jumps. Zbl 1186.60057
Bao, Jianhai; Truman, Aubrey; Yuan, Chenggui
2009
Exponential stability in mean square of impulsive stochastic difference equations with continuous time. Zbl 1182.37031
Bao, Jianhai; Hou, Zhenting; Wang, Fuxing
2009
An analytic approximation of solutions of stochastic differential delay equations with Markovian switching. Zbl 1185.65009
Bao, Jianhai; Hou, Zhenting
2009
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#### Cited by 550 Authors

 30 Liu, Meng 18 Yin, George Gang 17 Yuan, Chenggui 16 Wang, Ke 12 Bao, Jianhai 12 Wang, Feng-Yu 12 Yuan, Sanling 11 Mao, Xuerong 10 Bai, Chuanzhi 10 Huang, Xing 9 Meng, Xinzhu 8 Deng, Meiling 8 Jiang, Feng 8 Li, Xiaoyue 8 Li, Zhi 8 Liu, Qun 8 Wu, Fuke 7 Li, Junping 7 Nguyen, Dang Hai 7 Zou, Xiaoling 6 Diop, Mamadou Abdoul 6 Hu, Liangjian 6 Pei, Bin 6 Shao, Jinghai 6 Yan, Litan 6 Yang, Hua 6 Zhang, Zhenzhong 6 Zhao, Dianli 6 Zhu, Quanxin 5 Chen, Qingmei 5 Hu, Junhao 5 Li, Dan 5 Liu, Chao 5 Lu, Chun 5 Mao, Wei 5 Tong, Jinying 5 Xu, Yong 5 Zhang, Tonghua 5 Zhu, Min 5 Zong, Xiaofeng 4 Chen, Pengyu 4 Cui, Jingan 4 Fan, Xiliang 4 Huang, Chengming 4 Jiang, Daqing 4 Kumar, Chaman 4 Li, Wenxue 4 Li, Yongxiang 4 Liu, Wei 4 Ren, Panpan 4 Wang, Linshan 4 Wang, Sheng 4 Zhai, Jianliang 4 Zhang, Xuping 4 Zhao, Yu 3 Boufoussi, Brahim 3 Caraballo Garrido, Tomás 3 Chang, Zhengbo 3 Cui, Jing 3 Deng, Feiqi 3 Du, Bo 3 Ezzinbi, Khalil 3 Feng, Tao 3 Gao, Peng 3 Gao, Yongxin 3 Hajji, Salah 3 He, Zhimin 3 Hu, Guixin 3 Huan, Diem Dang 3 Li, Shihu 3 Liu, Guodong 3 Liu, Jicheng 3 Liu, Lei 3 Liu, Wei 3 Lo, Modou 3 Nane, Erkan 3 Nguyen, Son Luu 3 Qiao, Huijie 3 Qiu, Zhipeng 3 Sakthivel, Rathinasamy 3 Shen, Yi 3 Su, Huan 3 Suo, Yongqiang 3 Tan, Li 3 Teng, Zhi-dong 3 Wei, Tengda 3 Xi, Fubao 3 Yu, Xingwang 3 Zang, Yanchao 3 Zhang, Chunmei 3 Zhang, Qimin 3 Zhou, Yanli 2 Agarwal, Ravi P. 2 Ahmad, Bashir 2 Borysenko, D. O. 2 Borysenko, Oleksandr Danylovych 2 Chen, Huabin 2 Ding, Xiaohua 2 Ding, Yongsheng 2 Du, Chenxi ...and 450 more Authors
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#### Cited in 104 Serials

 32 Applied Mathematics and Computation 31 Advances in Difference Equations 17 Discrete and Continuous Dynamical Systems. Series B 15 Statistics & Probability Letters 15 Nonlinear Analysis. Hybrid Systems 12 Journal of Computational and Applied Mathematics 12 Journal of Differential Equations 10 Journal of Mathematical Analysis and Applications 10 Abstract and Applied Analysis 10 International Journal of Biomathematics 9 Stochastic Analysis and Applications 9 Applied Mathematics Letters 9 Mathematical Problems in Engineering 9 Journal of Nonlinear Science and Applications 8 Stochastics and Dynamics 7 Stochastic Processes and their Applications 7 Nonlinear Dynamics 7 Frontiers of Mathematics in China 7 Journal of Applied Analysis and Computation 6 Systems & Control Letters 6 Journal of Nonlinear Science 6 Discrete and Continuous Dynamical Systems 6 Discrete Dynamics in Nature and Society 5 Physica A 5 Automatica 5 SIAM Journal on Control and Optimization 4 Applicable Analysis 4 Journal of the Franklin Institute 4 Chaos, Solitons and Fractals 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Numerical Analysis 4 Complexity 4 Communications on Pure and Applied Analysis 4 Journal of Applied Mathematics and Computing 4 Science China. Mathematics 3 Journal of Statistical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Mathematics and Computers in Simulation 3 Journal of Theoretical Probability 3 Potential Analysis 3 Methodology and Computing in Applied Probability 3 Journal of Evolution Equations 2 Acta Applicandae Mathematicae 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 Theory of Probability and Mathematical Statistics 2 Random Operators and Stochastic Equations 2 Journal of Difference Equations and Applications 2 Electronic Communications in Probability 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Fractional Calculus & Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Mediterranean Journal of Mathematics 2 Computational & Mathematical Methods in Medicine 2 Afrika Matematika 2 Journal of Function Spaces 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Systems Science 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 Collectanea Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Applied Probability 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Semigroup Forum 1 Optimal Control Applications & Methods 1 Insurance Mathematics & Economics 1 Physica D 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 SIAM Journal on Applied Mathematics 1 Bulletin des Sciences Mathématiques 1 Bernoulli 1 Vietnam Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Journal of Dynamical and Control Systems 1 Journal of Biological Systems 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Modelling and Control 1 Journal of Intelligent and Fuzzy Systems 1 International Journal of Computational Methods 1 Journal of Statistical Mechanics: Theory and Experiment 1 Stochastics 1 Journal of Biological Dynamics 1 Advances in Mathematical Physics ...and 4 more Serials
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#### Cited in 23 Fields

 337 Probability theory and stochastic processes (60-XX) 154 Biology and other natural sciences (92-XX) 133 Ordinary differential equations (34-XX) 63 Systems theory; control (93-XX) 49 Numerical analysis (65-XX) 44 Dynamical systems and ergodic theory (37-XX) 39 Partial differential equations (35-XX) 13 Operator theory (47-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Mechanics of particles and systems (70-XX) 6 Difference and functional equations (39-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Statistics (62-XX) 3 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Integral equations (45-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX)