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## Wu, Fuke

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 Author ID: wu.fuke Published as: Wu, Fuke; Wu, F.; Wu, Fu Ke
 Documents Indexed: 120 Publications since 1982 Reviewing Activity: 10 Reviews
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#### Co-Authors

 3 single-authored 21 Hu, Shigeng 16 Hu, Yangzi 13 Huang, Chengming 13 Mao, Xuerong 12 Zong, Xiaofeng 10 Yin, George Gang 7 Kloeden, Peter Eris 5 Yin, Gang George 4 Shen, Yi 4 Zhou, Shaobo 3 Chen, Kan 3 Jiang, Feng 3 Jin, Zhuo 3 Lei, Dongxia 3 Liu, Yue 3 Wang, Leyi 3 Xu, Yong 3 Yang, Hao 2 Mei, Hongwei 2 Tian, Tianhai 2 Wang, Ya 2 Yin, Rongcheng 2 Zhao, Guangliang 2 Zhu, Chao 1 Bell, J. W. 1 Chai, Yingbin 1 Cui, Hongyong 1 Dharmadhikari, Sudhakar Waman 1 Du, Ding-Zhu 1 Golan, Jonathan Samuel 1 Gong, Minqing 1 Huang, Yonggang Young 1 Leibovich, Sidney 1 Li, Tao 1 Li, Yun 1 Meng, Xuejing 1 Prajna, Stephen 1 Schweitzer, Haim 1 Szpruch, Lukasz 1 Tan, Yimin 1 Xi, Fubao 1 Xu, Guiping 1 Xue, Minggao 1 Yih, Chia-Shun 1 Yin, Juliang 1 Zhang, Jifeng 1 Zhang, Weihai 1 Zhang, Xiangsun 1 Zhu, Enwen
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#### Serials

 8 Journal of Computational and Applied Mathematics 7 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Mathematical Analysis and Applications 5 Mathematica Applicata 4 International Journal of Control 4 Journal of Differential Equations 4 Engineering Analysis with Boundary Elements 4 Stochastics and Dynamics 3 Computer Methods in Applied Mechanics and Engineering 3 Systems & Control Letters 3 Stochastic Analysis and Applications 3 Applied Mathematical Modelling 3 Stochastic Models 2 IMA Journal of Applied Mathematics 2 Journal of the Franklin Institute 2 Applied Mathematics and Computation 2 Automatica 2 Journal of Mathematics. Wuhan University 2 Statistics & Probability Letters 2 Acta Applicandae Mathematicae 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 International Journal of Robust and Nonlinear Control 2 Journal of Difference Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Abstract and Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Mathematical Control and Related Fields 1 International Journal of Solids and Structures 1 International Journal of Systems Science 1 Journal of the Mechanics and Physics of Solids 1 Physics of Fluids 1 IEEE Transactions on Automatic Control 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Statistica Neerlandica 1 Insurance Mathematics & Economics 1 Acta Mathematica Hungarica 1 Physica D 1 Applied Numerical Mathematics 1 Chinese Journal of Applied Probability and Statistics 1 Journal of Integral Equations and Applications 1 Annals of Operations Research 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Stochastic Processes and their Applications 1 Random Operators and Stochastic Equations 1 Soft Computing 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series B. (English Edition) 1 International Journal of Computational Methods 1 Frontiers of Mathematics in China 1 International Journal of Stochastic Analysis 1 Journal of Nanjing University of Information Science and Technology. Natural Science Edition
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#### Fields

 83 Probability theory and stochastic processes (60-XX) 63 Ordinary differential equations (34-XX) 34 Numerical analysis (65-XX) 27 Systems theory; control (93-XX) 20 Biology and other natural sciences (92-XX) 11 Mechanics of deformable solids (74-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 3 Operations research, mathematical programming (90-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

95 Publications have been cited 859 times in 448 Documents Cited by Year
Almost sure exponential stability of numerical solutions for stochastic delay differential equations. Zbl 1193.65009
Wu, Fuke; Mao, Xuerong; Szpruch, Lukas
2010
Numerical solutions of neutral stochastic functional differential equations. Zbl 1173.65004
Wu, Fuke; Mao, Xuerong
2008
Convergence of numerical solutions to neutral stochastic delay differential equations with Markovian switching. Zbl 1168.65007
Zhou, Shaobo; Wu, Fuke
2009
Stochastic Lotka-Volterra population dynamics with infinite delay. Zbl 1197.34164
Wu, Fuke; Xu, Yong
2009
Robustness of general decay stability of nonlinear neutral stochastic functional differential equations with infinite delay. Zbl 1223.93096
Wu, Fuke; Hu, Shigeng; Huang, Chengming
2010
Stochastic Lotka-Volterra models with multiple delays. Zbl 1245.92063
Hu, Yangzi; Wu, Fuke; Huang, Chengming
2011
Choice of $${\theta}$$ and mean-square exponential stability in the stochastic theta method of stochastic differential equations. Zbl 1291.65028
Zong, Xiaofeng; Wu, Fuke
2014
Convergence and stability of the semi-tamed Euler scheme for stochastic differential equations with non-Lipschitz continuous coefficients. Zbl 1364.65020
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2014
Theta schemes for SDDEs with non-globally Lipschitz continuous coefficients. Zbl 1306.65011
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2015
Exponential mean square stability of the theta approximations for neutral stochastic differential delay equations. Zbl 1320.34111
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2015
Suppression and stabilisation of noise. Zbl 1175.93234
Wu, Fuke; Hu, Shigeng
2009
The Cox-Ingersoll-Ross model with delay and strong convergence of its Euler-Maruyama approximate solutions. Zbl 1172.65009
Wu, Fuke; Mao, Xuerong; Chen, Kan
2009
Robustness of exponential stability of a class of stochastic functional differential equations with infinite delay. Zbl 1368.93765
Hu, Yangzi; Wu, Fuke; Huang, Chengming
2009
Mean-square random attractors of stochastic delay differential equations with random delay. Zbl 1316.34083
Wu, Fuke; Kloeden, Peter E.
2013
Multi-agent consensus with relative-state-dependent measurement noises. Zbl 1360.93033
Li, Tao; Wu, Fuke; Zhang, Ji-Feng
2014
Optimal reinsurance strategies in regime-switching jump diffusion models: stochastic differential game formulation and numerical methods. Zbl 1290.91090
Jin, Zhuo; Yin, G.; Wu, Fuke
2013
Almost sure and $$p$$th-moment stability and stabilization of regime-switching jump diffusion systems. Zbl 1390.34230
Zong, Xiaofeng; Wu, Fuke; Yin, George; Jin, Zhuo
2014
Positive solution and its asymptotic behaviour of stochastic functional Kolmogorov-type system. Zbl 1198.34181
Wu, Fuke; Hu, Shigeng; Liu, Yue
2010
Pathwise upper semi-continuity of random pullback attractors along the time axis. Zbl 1392.37042
Cui, Hongyong; Kloeden, Peter E.; Wu, Fuke
2018
SOS-based solution approach to polynomial LPV system analysis and synthesis problems. Zbl 1125.93353
Wu, F.; Prajna, S.
2005
Preserving exponential mean square stability and decay rates in two classes of theta approximations of stochastic differential equations. Zbl 1291.60143
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2014
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
Razumikhin-type theorems on general decay stability and robustness for stochastic functional differential equations. Zbl 1276.93081
Wu, Fuke; Hu, Shigeng
2012
Regularization and stabilization of randomly switching dynamic systems. Zbl 1272.34076
Yin, G.; Zhao, Guangliang; Wu, Fuke
2012
Stochastic functional Kolmogorov-type population dynamics. Zbl 1158.60024
Wu, Fuke; Hu, Shigeng
2008
A highly sensitive mean-reverting process in finance and the Euler-Maruyama approximations. Zbl 1158.60033
Wu, Fuke; Mao, Xuerong; Chen, Kan
2008
A Razumikhin-type theorem for neutral stochastic functional differential equations with unbounded delay. Zbl 1249.34235
Wu, Fuke; Hu, Shigeng; Mao, Xuerong
2011
Moment exponential stability of random delay systems with two-time-scale Markovian switching. Zbl 1263.60062
Wu, Fuke; Yin, G.; Wang, Le Yi
2012
Stochastic Kolmogorov-type population dynamics with infinite distributed delays. Zbl 1196.34106
Hu, Yangzi; Wu, Fuke
2010
Stochastic suppression and stabilization of functional differential equations. Zbl 1217.93177
Wu, Fuke; Mao, Xuerong; Hu, Shigeng
2010
Conical vortices: A class of exact solutions of the Navier-Stokes equations. Zbl 0513.76024
Yih, C.-S.; Wu, F.; Garg, A. K.; Leibovich, S.
1982
A stochastic perturbation edge-based smoothed finite element method for the analysis of uncertain structural-acoustics problems with random variables. Zbl 1403.76052
Wu, F.; Yao, L. Y.; Hu, M.; He, Z. C.
2017
Almost sure exponential stability of the Euler-Maruyama approximations for stochastic functional differential equations. Zbl 1276.60063
Wu, Fuke; Mao, Xuerong; Kloeden, Peter E.
2011
3D coupled field in a transversely isotropic magneto-electro-elastic half space punched by an elliptic indenter. Zbl 1349.74125
Li, X.-Y.; Wu, F.; Jin, X.; Chen, W.-Q.
2015
Stochastic functional differential equations with infinite delay: existence and uniqueness of solutions, solution maps, Markov properties, and ergodicity. Zbl 1418.34151
Wu, Fuke; Yin, George; Mei, Hongwei
2017
Attraction, stability and robustness for stochastic functional differential equations with infinite delay. Zbl 1241.60028
Wu, Fuke; Hu, Shigeng
2011
Stochastic Lotka-Volterra system with infinite delay. Zbl 1205.34103
Xu, Yong; Wu, Fuke; Tan, Yimin
2009
Stability of a pure random delay system with two-time-scale Markovian switching. Zbl 1257.34064
Wu, Fuke; Yin, G. George; Wang, Le Yi
2012
Almost sure exponential stability of the $$\theta$$-method for stochastic differential equations. Zbl 1250.60030
Chen, Lin; Wu, Fuke
2012
Stochastic suppression and stabilization of delay differential systems. Zbl 1235.34213
Wu, Fuke; Hu, Shigeng
2011
Strong convergence of Monte Carlo simulations of the mean-reverting square root process with jump. Zbl 1151.65311
Wu, Fuke; Mao, Xuerong; Chen, Kan
2008
A generalized probabilistic edge-based smoothed finite element method for elastostatic analysis of Reissner-Mindlin plates. Zbl 07166428
Wu, F.; Zeng, W.; Yao, L. Y.; Liu, G. R.
2018
Convergence and stability of two classes of theta-Milstein schemes for stochastic differential equations. Zbl 1382.65026
Zong, Xiaofeng; Wu, Fuke; Xu, Guiping
2018
The LaSalle-type theorem for neutral stochastic functional differential equations with infinite delay. Zbl 1264.34159
Wu, Fuke; Hu, Shigeng
2012
Stochastic stability of a class of unbounded delay neutral stochastic differential equations with general decay rate. Zbl 1259.93128
Hu, Yangzi; Wu, Fuke; Huang, Chengming
2012
Almost sure exponential stability of the backward Euler-Maruyama scheme for stochastic delay differential equations with monotone-type condition. Zbl 1326.65018
Chen, Lin; Wu, Fuke
2015
A super-linear convergent gradient projection type algorithm for linearly constrained problems. Zbl 0557.90076
Wu, F.
1984
A note on the existence and asymptotic behavior of nonoscillatory solutions of fourth order quasilinear differential equations. Zbl 1048.34077
Naito, M.; Wu, F.
2004
Exponential stability of the exact and numerical solutions for neutral stochastic delay differential equations. Zbl 1443.34089
Zong, Xiaofeng; Wu, Fuke
2016
A note on order of convergence of numerical method for neutral stochastic functional differential equations. Zbl 1257.65005
Jiang, Feng; Shen, Yi; Wu, Fuke
2012
Convergence of numerical approximation for jump models involving delay and mean-reverting square root process. Zbl 1217.65012
Jiang, Feng; Shen, Yi; Wu, Fuke
2011
Asymptotic properties of stochastic functional Kolmogorov-type system. Zbl 1171.34055
Wu, Fuke; Hu, Yangzi
2009
Robust and gain-scheduling control of LFT systems through duality and conjugate Lyapunov functions. Zbl 1117.93022
Dong, K.; Wu, F.
2007
Properties of stochastic integro-differential equations with infinite delay: regularity, ergodicity, weak sense Fokker-Planck equations. Zbl 1351.34098
Mei, Hongwei; Yin, George; Wu, Fuke
2016
On a class of nonlocal stochastic functional differential equations with infinite delay. Zbl 1229.60076
Wu, Fuke; Hu, Shigeng
2011
Ultimate boundedness of stochastic functional Kolmogorov-type systems. Zbl 1163.60313
Wu, Fuke; Hu, Yangzi
2009
Existence, uniqueness and asymptotic properties of a class of nonlinear stochastic differential delay equations with Markovian switching. Zbl 1181.60091
Wang, Lin; Wu, Fuke
2009
An averaging principle for two-time-scale stochastic functional differential equations. Zbl 1442.34127
Wu, Fuke; Yin, George
2020
The boundedness and exponential stability criterions for nonlinear hybrid neutral stochastic functional differential equations. Zbl 1304.34135
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2013
Stability and stochastic stabilization of numerical solutions of regime-switching jump diffusion systems. Zbl 1286.65013
Zong, Xiaofeng; Wu, Fuke; Tian, Tianhai
2013
Choice of $$\theta$$ and its effects on stability in the stochastic $$\theta$$-method of stochastic delay differential equations. Zbl 1258.65071
Chen, Lin; Wu, Fuke
2012
Robustness of hybrid neutral differential systems perturbed by noise. Zbl 1310.93077
Zhou, Shaobo; Xue, Minggao; Wu, Fuke
2014
Razumikhin-type theorems on moment exponential stability of functional differential equations involving two-time-scale Markovian switching. Zbl 1323.34091
Wu, Fuke; Yin, George; Wang, Le Yi
2015
The moment exponential stability criterion of nonlinear hybrid stochastic differential equations and its discrete approximations. Zbl 1356.60096
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2016
Environmental noise impact on regularity and extinction of population systems with infinite delay. Zbl 1329.92117
Wu, Fuke; Yin, G.
2012
Existence and uniqueness of global positive solutions to the stochastic functional Kolmogorov-type system. Zbl 1232.60047
Wu, Fuke; Hu, Yangzi
2010
Khasminskii-type theorems for neutral stochastic functional differential equations. Zbl 1174.34508
Wu, Fuke
2008
Pathwise estimation of the stochastic functional Kolmogorov-type system. Zbl 1166.93026
Wu, Fuke; Hu, Yangzi
2009
A study of a class of nonlinear stochastic delay differential equations. Zbl 1210.34113
Wu, Fuke; Hu, Shigeng
2010
General decay stability for stochastic functional differential equations with infinite delay. Zbl 1202.93167
Liu, Yue; Meng, Xuejing; Wu, Fuke
2010
Convolutions of $$\alpha$$-unimodal discrete distributions. Zbl 0935.60003
Wu, F.; Dharmadhikari, S.
1999
On Rosen’s gradient projection methods. Zbl 0704.90081
Du, Dingzhu; Wu, F.; Zhang, Xiangsun
1990
Stochastic interval analysis for structural natural frequencies based on stochastic hybrid perturbation edge-based smoothing finite element method. Zbl 1464.74217
Wu, F.; Hu, M.; Chen, K.; Yao, L. Y.; Ju, Z. G.; Sun, X.
2019
Smoothing technique based beta FEM $$(\beta$$FEM) for static and free vibration analyses of Reissner-Mindlin plates. Zbl 07124746
Wu, F.; Zeng, W.; Yao, L. Y.; Hu, M.; Chen, Y. J.; Li, M. S.
2020
Stochastic hybrid perturbation technique-based smoothed finite element-statistical energy method for mid-frequency analysis of structure-acoustic systems with parametric and nonparametric uncertainties. Zbl 1441.74282
Wu, F.; Chen, K.; Wang, T. Y.; Yao, L. Y.; Hu, M.
2019
General decay pathwise stability of neutral stochastic differential equations with unbounded delay. Zbl 1227.60074
Hu, Yang Zi; Wu, Fu Ke; Huang, Cheng Ming
2011
Jump systems with the mean-reverting $$\gamma$$-process and convergence of the numerical approximation. Zbl 1246.65015
Jiang, Feng; Shen, Yi; Wu, Fuke
2012
The asymptotic properties of the suppressed system by Brownian noise. Zbl 1417.93299
Yin, Rongcheng; Wu, Fuke; Shen, Yi
2012
A class of stochastic differential equations with expectations in the coefficients. Zbl 1261.34064
Hu, Yangzi; Wu, Fuke
2013
Generalized stochastic delay Lotka-Volterra systems. Zbl 1173.60330
Yin, Juliang; Mao, Xuerong; Wu, Fuke
2009
Stochastic Lotka-Volterra system with unbounded distributed delay. Zbl 1242.34143
Wu, Fuke; Hu, Yangzi
2010
A class of stochastic functional differential equations with Markovian switching. Zbl 1220.60033
Hu, Yangzi; Wu, Fuke
2011
Stochastic Kolmogorov-type population dynamics with variable delay. Zbl 1159.60332
Wu, Fuke; Hu, Shigeng
2009
Unbounded delay stochastic functional Kolmogorov-type system. Zbl 1225.60098
Wu, Fuke
2010
Stability in distribution of stochastic functional differential equations. Zbl 1425.93299
Wang, Ya; Wu, Fuke; Mao, Xuerong
2019
The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients. Zbl 07126160
Yang, Hao; Wu, Fuke; Kloeden, Peter E.; Mao, Xuerong
2020
The development of hybrid ES-FE-SEA method for mid-frequency vibration analysis of complex built-up structure. Zbl 07183292
Wu, F.; Chen, Y. J.; Yao, L. Y.; Hu, M.
2018
A modified stochastic perturbation method for stochastic hyperbolic heat conduction problems. Zbl 1425.74021
Wu, F.; Zhong, W. X.
2016
Existence and approximation of strong solutions of SDEs with fractional diffusion coefficients. Zbl 1420.60076
Yang, Hao; Wu, Fuke; Kloeden, Peter E.
2019
Discrete Razumikhin-type stability theorems for stochastic discrete-time delay systems. Zbl 1402.93233
Zong, Xiaofeng; Lei, Dongxia; Wu, Fuke
2018
Kolmogorov-type systems with regime-switching jump diffusion perturbations. Zbl 1347.60073
Wu, Fuke; Yin, George; Jin, Zhuo
2016
Khasminskii-type theorems for stochastic functional differential equations with infinite delay. Zbl 1230.34069
Wu, Fuke; Hu, Shigeng
2011
On the pathwise growth rates of large fluctuations of stochastic population systems with infinite delay. Zbl 1417.92157
Wu, Fuke; Hu, Shigeng
2011
Exponential extinction of a stochastic Lotka-Volterra model with expectations in coefficients. Zbl 1330.92108
Hu, Yangzi; Wu, Fuke
2015
High precision interval analysis of the frequency response of structural-acoustic systems with uncertain-but-bounded parameters. Zbl 1464.74216
Wu, F.; Gong, M. Q.; Yao, L. Y.; Hu, M.; Jie, J.
2020
An averaging principle for two-time-scale stochastic functional differential equations. Zbl 1442.34127
Wu, Fuke; Yin, George
2020
Smoothing technique based beta FEM $$(\beta$$FEM) for static and free vibration analyses of Reissner-Mindlin plates. Zbl 07124746
Wu, F.; Zeng, W.; Yao, L. Y.; Hu, M.; Chen, Y. J.; Li, M. S.
2020
The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients. Zbl 07126160
Yang, Hao; Wu, Fuke; Kloeden, Peter E.; Mao, Xuerong
2020
High precision interval analysis of the frequency response of structural-acoustic systems with uncertain-but-bounded parameters. Zbl 1464.74216
Wu, F.; Gong, M. Q.; Yao, L. Y.; Hu, M.; Jie, J.
2020
Stochastic interval analysis for structural natural frequencies based on stochastic hybrid perturbation edge-based smoothing finite element method. Zbl 1464.74217
Wu, F.; Hu, M.; Chen, K.; Yao, L. Y.; Ju, Z. G.; Sun, X.
2019
Stochastic hybrid perturbation technique-based smoothed finite element-statistical energy method for mid-frequency analysis of structure-acoustic systems with parametric and nonparametric uncertainties. Zbl 1441.74282
Wu, F.; Chen, K.; Wang, T. Y.; Yao, L. Y.; Hu, M.
2019
Stability in distribution of stochastic functional differential equations. Zbl 1425.93299
Wang, Ya; Wu, Fuke; Mao, Xuerong
2019
Existence and approximation of strong solutions of SDEs with fractional diffusion coefficients. Zbl 1420.60076
Yang, Hao; Wu, Fuke; Kloeden, Peter E.
2019
Pathwise upper semi-continuity of random pullback attractors along the time axis. Zbl 1392.37042
Cui, Hongyong; Kloeden, Peter E.; Wu, Fuke
2018
A generalized probabilistic edge-based smoothed finite element method for elastostatic analysis of Reissner-Mindlin plates. Zbl 07166428
Wu, F.; Zeng, W.; Yao, L. Y.; Liu, G. R.
2018
Convergence and stability of two classes of theta-Milstein schemes for stochastic differential equations. Zbl 1382.65026
Zong, Xiaofeng; Wu, Fuke; Xu, Guiping
2018
The development of hybrid ES-FE-SEA method for mid-frequency vibration analysis of complex built-up structure. Zbl 07183292
Wu, F.; Chen, Y. J.; Yao, L. Y.; Hu, M.
2018
Discrete Razumikhin-type stability theorems for stochastic discrete-time delay systems. Zbl 1402.93233
Zong, Xiaofeng; Lei, Dongxia; Wu, Fuke
2018
A stochastic perturbation edge-based smoothed finite element method for the analysis of uncertain structural-acoustics problems with random variables. Zbl 1403.76052
Wu, F.; Yao, L. Y.; Hu, M.; He, Z. C.
2017
Stochastic functional differential equations with infinite delay: existence and uniqueness of solutions, solution maps, Markov properties, and ergodicity. Zbl 1418.34151
Wu, Fuke; Yin, George; Mei, Hongwei
2017
Exponential stability of the exact and numerical solutions for neutral stochastic delay differential equations. Zbl 1443.34089
Zong, Xiaofeng; Wu, Fuke
2016
Properties of stochastic integro-differential equations with infinite delay: regularity, ergodicity, weak sense Fokker-Planck equations. Zbl 1351.34098
Mei, Hongwei; Yin, George; Wu, Fuke
2016
The moment exponential stability criterion of nonlinear hybrid stochastic differential equations and its discrete approximations. Zbl 1356.60096
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2016
A modified stochastic perturbation method for stochastic hyperbolic heat conduction problems. Zbl 1425.74021
Wu, F.; Zhong, W. X.
2016
Kolmogorov-type systems with regime-switching jump diffusion perturbations. Zbl 1347.60073
Wu, Fuke; Yin, George; Jin, Zhuo
2016
Theta schemes for SDDEs with non-globally Lipschitz continuous coefficients. Zbl 1306.65011
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2015
Exponential mean square stability of the theta approximations for neutral stochastic differential delay equations. Zbl 1320.34111
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2015
3D coupled field in a transversely isotropic magneto-electro-elastic half space punched by an elliptic indenter. Zbl 1349.74125
Li, X.-Y.; Wu, F.; Jin, X.; Chen, W.-Q.
2015
Almost sure exponential stability of the backward Euler-Maruyama scheme for stochastic delay differential equations with monotone-type condition. Zbl 1326.65018
Chen, Lin; Wu, Fuke
2015
Razumikhin-type theorems on moment exponential stability of functional differential equations involving two-time-scale Markovian switching. Zbl 1323.34091
Wu, Fuke; Yin, George; Wang, Le Yi
2015
Exponential extinction of a stochastic Lotka-Volterra model with expectations in coefficients. Zbl 1330.92108
Hu, Yangzi; Wu, Fuke
2015
Choice of $${\theta}$$ and mean-square exponential stability in the stochastic theta method of stochastic differential equations. Zbl 1291.65028
Zong, Xiaofeng; Wu, Fuke
2014
Convergence and stability of the semi-tamed Euler scheme for stochastic differential equations with non-Lipschitz continuous coefficients. Zbl 1364.65020
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2014
Multi-agent consensus with relative-state-dependent measurement noises. Zbl 1360.93033
Li, Tao; Wu, Fuke; Zhang, Ji-Feng
2014
Almost sure and $$p$$th-moment stability and stabilization of regime-switching jump diffusion systems. Zbl 1390.34230
Zong, Xiaofeng; Wu, Fuke; Yin, George; Jin, Zhuo
2014
Preserving exponential mean square stability and decay rates in two classes of theta approximations of stochastic differential equations. Zbl 1291.60143
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2014
Robustness of hybrid neutral differential systems perturbed by noise. Zbl 1310.93077
Zhou, Shaobo; Xue, Minggao; Wu, Fuke
2014
Mean-square random attractors of stochastic delay differential equations with random delay. Zbl 1316.34083
Wu, Fuke; Kloeden, Peter E.
2013
Optimal reinsurance strategies in regime-switching jump diffusion models: stochastic differential game formulation and numerical methods. Zbl 1290.91090
Jin, Zhuo; Yin, G.; Wu, Fuke
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
The boundedness and exponential stability criterions for nonlinear hybrid neutral stochastic functional differential equations. Zbl 1304.34135
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2013
Stability and stochastic stabilization of numerical solutions of regime-switching jump diffusion systems. Zbl 1286.65013
Zong, Xiaofeng; Wu, Fuke; Tian, Tianhai
2013
A class of stochastic differential equations with expectations in the coefficients. Zbl 1261.34064
Hu, Yangzi; Wu, Fuke
2013
Razumikhin-type theorems on general decay stability and robustness for stochastic functional differential equations. Zbl 1276.93081
Wu, Fuke; Hu, Shigeng
2012
Regularization and stabilization of randomly switching dynamic systems. Zbl 1272.34076
Yin, G.; Zhao, Guangliang; Wu, Fuke
2012
Moment exponential stability of random delay systems with two-time-scale Markovian switching. Zbl 1263.60062
Wu, Fuke; Yin, G.; Wang, Le Yi
2012
Stability of a pure random delay system with two-time-scale Markovian switching. Zbl 1257.34064
Wu, Fuke; Yin, G. George; Wang, Le Yi
2012
Almost sure exponential stability of the $$\theta$$-method for stochastic differential equations. Zbl 1250.60030
Chen, Lin; Wu, Fuke
2012
The LaSalle-type theorem for neutral stochastic functional differential equations with infinite delay. Zbl 1264.34159
Wu, Fuke; Hu, Shigeng
2012
Stochastic stability of a class of unbounded delay neutral stochastic differential equations with general decay rate. Zbl 1259.93128
Hu, Yangzi; Wu, Fuke; Huang, Chengming
2012
A note on order of convergence of numerical method for neutral stochastic functional differential equations. Zbl 1257.65005
Jiang, Feng; Shen, Yi; Wu, Fuke
2012
Choice of $$\theta$$ and its effects on stability in the stochastic $$\theta$$-method of stochastic delay differential equations. Zbl 1258.65071
Chen, Lin; Wu, Fuke
2012
Environmental noise impact on regularity and extinction of population systems with infinite delay. Zbl 1329.92117
Wu, Fuke; Yin, G.
2012
Jump systems with the mean-reverting $$\gamma$$-process and convergence of the numerical approximation. Zbl 1246.65015
Jiang, Feng; Shen, Yi; Wu, Fuke
2012
The asymptotic properties of the suppressed system by Brownian noise. Zbl 1417.93299
Yin, Rongcheng; Wu, Fuke; Shen, Yi
2012
Stochastic Lotka-Volterra models with multiple delays. Zbl 1245.92063
Hu, Yangzi; Wu, Fuke; Huang, Chengming
2011
A Razumikhin-type theorem for neutral stochastic functional differential equations with unbounded delay. Zbl 1249.34235
Wu, Fuke; Hu, Shigeng; Mao, Xuerong
2011
Almost sure exponential stability of the Euler-Maruyama approximations for stochastic functional differential equations. Zbl 1276.60063
Wu, Fuke; Mao, Xuerong; Kloeden, Peter E.
2011
Attraction, stability and robustness for stochastic functional differential equations with infinite delay. Zbl 1241.60028
Wu, Fuke; Hu, Shigeng
2011
Stochastic suppression and stabilization of delay differential systems. Zbl 1235.34213
Wu, Fuke; Hu, Shigeng
2011
Convergence of numerical approximation for jump models involving delay and mean-reverting square root process. Zbl 1217.65012
Jiang, Feng; Shen, Yi; Wu, Fuke
2011
On a class of nonlocal stochastic functional differential equations with infinite delay. Zbl 1229.60076
Wu, Fuke; Hu, Shigeng
2011
General decay pathwise stability of neutral stochastic differential equations with unbounded delay. Zbl 1227.60074
Hu, Yang Zi; Wu, Fu Ke; Huang, Cheng Ming
2011
A class of stochastic functional differential equations with Markovian switching. Zbl 1220.60033
Hu, Yangzi; Wu, Fuke
2011
Khasminskii-type theorems for stochastic functional differential equations with infinite delay. Zbl 1230.34069
Wu, Fuke; Hu, Shigeng
2011
On the pathwise growth rates of large fluctuations of stochastic population systems with infinite delay. Zbl 1417.92157
Wu, Fuke; Hu, Shigeng
2011
Almost sure exponential stability of numerical solutions for stochastic delay differential equations. Zbl 1193.65009
Wu, Fuke; Mao, Xuerong; Szpruch, Lukas
2010
Robustness of general decay stability of nonlinear neutral stochastic functional differential equations with infinite delay. Zbl 1223.93096
Wu, Fuke; Hu, Shigeng; Huang, Chengming
2010
Positive solution and its asymptotic behaviour of stochastic functional Kolmogorov-type system. Zbl 1198.34181
Wu, Fuke; Hu, Shigeng; Liu, Yue
2010
Stochastic Kolmogorov-type population dynamics with infinite distributed delays. Zbl 1196.34106
Hu, Yangzi; Wu, Fuke
2010
Stochastic suppression and stabilization of functional differential equations. Zbl 1217.93177
Wu, Fuke; Mao, Xuerong; Hu, Shigeng
2010
Existence and uniqueness of global positive solutions to the stochastic functional Kolmogorov-type system. Zbl 1232.60047
Wu, Fuke; Hu, Yangzi
2010
A study of a class of nonlinear stochastic delay differential equations. Zbl 1210.34113
Wu, Fuke; Hu, Shigeng
2010
General decay stability for stochastic functional differential equations with infinite delay. Zbl 1202.93167
Liu, Yue; Meng, Xuejing; Wu, Fuke
2010
Stochastic Lotka-Volterra system with unbounded distributed delay. Zbl 1242.34143
Wu, Fuke; Hu, Yangzi
2010
Unbounded delay stochastic functional Kolmogorov-type system. Zbl 1225.60098
Wu, Fuke
2010
Convergence of numerical solutions to neutral stochastic delay differential equations with Markovian switching. Zbl 1168.65007
Zhou, Shaobo; Wu, Fuke
2009
Stochastic Lotka-Volterra population dynamics with infinite delay. Zbl 1197.34164
Wu, Fuke; Xu, Yong
2009
Suppression and stabilisation of noise. Zbl 1175.93234
Wu, Fuke; Hu, Shigeng
2009
The Cox-Ingersoll-Ross model with delay and strong convergence of its Euler-Maruyama approximate solutions. Zbl 1172.65009
Wu, Fuke; Mao, Xuerong; Chen, Kan
2009
Robustness of exponential stability of a class of stochastic functional differential equations with infinite delay. Zbl 1368.93765
Hu, Yangzi; Wu, Fuke; Huang, Chengming
2009
Stochastic Lotka-Volterra system with infinite delay. Zbl 1205.34103
Xu, Yong; Wu, Fuke; Tan, Yimin
2009
Asymptotic properties of stochastic functional Kolmogorov-type system. Zbl 1171.34055
Wu, Fuke; Hu, Yangzi
2009
Ultimate boundedness of stochastic functional Kolmogorov-type systems. Zbl 1163.60313
Wu, Fuke; Hu, Yangzi
2009
Existence, uniqueness and asymptotic properties of a class of nonlinear stochastic differential delay equations with Markovian switching. Zbl 1181.60091
Wang, Lin; Wu, Fuke
2009
Pathwise estimation of the stochastic functional Kolmogorov-type system. Zbl 1166.93026
Wu, Fuke; Hu, Yangzi
2009
Generalized stochastic delay Lotka-Volterra systems. Zbl 1173.60330
Yin, Juliang; Mao, Xuerong; Wu, Fuke
2009
Stochastic Kolmogorov-type population dynamics with variable delay. Zbl 1159.60332
Wu, Fuke; Hu, Shigeng
2009
Numerical solutions of neutral stochastic functional differential equations. Zbl 1173.65004
Wu, Fuke; Mao, Xuerong
2008
Stochastic functional Kolmogorov-type population dynamics. Zbl 1158.60024
Wu, Fuke; Hu, Shigeng
2008
A highly sensitive mean-reverting process in finance and the Euler-Maruyama approximations. Zbl 1158.60033
Wu, Fuke; Mao, Xuerong; Chen, Kan
2008
Strong convergence of Monte Carlo simulations of the mean-reverting square root process with jump. Zbl 1151.65311
Wu, Fuke; Mao, Xuerong; Chen, Kan
2008
Khasminskii-type theorems for neutral stochastic functional differential equations. Zbl 1174.34508
Wu, Fuke
2008
Robust and gain-scheduling control of LFT systems through duality and conjugate Lyapunov functions. Zbl 1117.93022
Dong, K.; Wu, F.
2007
SOS-based solution approach to polynomial LPV system analysis and synthesis problems. Zbl 1125.93353
Wu, F.; Prajna, S.
2005
A note on the existence and asymptotic behavior of nonoscillatory solutions of fourth order quasilinear differential equations. Zbl 1048.34077
Naito, M.; Wu, F.
2004
Convolutions of $$\alpha$$-unimodal discrete distributions. Zbl 0935.60003
Wu, F.; Dharmadhikari, S.
1999
On Rosen’s gradient projection methods. Zbl 0704.90081
Du, Dingzhu; Wu, F.; Zhang, Xiangsun
1990
A super-linear convergent gradient projection type algorithm for linearly constrained problems. Zbl 0557.90076
Wu, F.
1984
Conical vortices: A class of exact solutions of the Navier-Stokes equations. Zbl 0513.76024
Yih, C.-S.; Wu, F.; Garg, A. K.; Leibovich, S.
1982
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#### Cited by 568 Authors

 42 Wu, Fuke 34 Mao, Xuerong 19 Huang, Chengming 17 Yin, George Gang 15 Deng, Feiqi 14 Hu, Shigeng 14 Zhou, Shaobo 14 Zong, Xiaofeng 11 Li, Yangrong 10 Mao, Wei 10 Milošević, Marija 10 Yuan, Chenggui 10 Zhu, Quanxin 9 Gan, Siqing 9 Liu, Meng 8 Guo, Qian 8 Hu, Yangzi 8 Jin, Zhuo 8 Li, Xiaoyue 8 Liu, Wei 7 Ding, Xiaohua 7 Feng, Lichao 7 Hu, Liangjian 7 Kloeden, Peter Eris 7 Liu, Linna 7 Yin, Gang George 6 Lan, Guangqiang 6 Wang, Xiaojie 5 Guo, Ping 5 Jiang, Feng 5 Shen, Yi 5 Wang, Ke 5 Yang, Shuang 5 Yu, Zhanhua 5 Yue, Chao 5 Zhang, Qimin 5 Zhao, Xueyan 4 Bao, Jianhai 4 Cao, Jinde 4 Hu, Junhao 4 Jiang, Daqing 4 Li, Chongjun 4 Li, Fuzhi 4 Li, Shoumei 4 Liu, Mingzhu 4 Lu, Chun 4 Ma, Qiang 4 Mo, Haoyi 4 Pham Huu Anh Ngoc 4 Rathinasamy, Anandaraman 4 Song, Minghui 4 Wang, Bixiang 4 Wang, Leyi 4 Xie, Yongqin 4 Zhang, Qiangheng 4 Zhu, Kaixuan 3 Chen, Huabin 3 Cong, Fuzhong 3 Huo, Xiaoming 3 Ji, Chunyan 3 Jin, Hai 3 Leung, Ping-kei 3 Li, Haihong 3 Li, Mei 3 Li, Qiyong 3 Li, Renfu 3 Li, Tao 3 Mirzaee, Farshid 3 Obradović, Maja 3 Pang, Wankai 3 Qian, Linyi 3 Song, Yinfang 3 Tan, Jianguo 3 Tan, Li 3 Wang, Desheng 3 Wang, Xiaohu 3 Xia, Fang 3 Xue, Minggao 3 Yang, Hua 3 Yang, Li 3 Yi, Yulian 3 Yin, Rongcheng 3 Zhang, Jifeng 3 Zhang, Yuanyuan 3 Zhao, Jingjun 3 Zhou, Feng 3 Zhu, Chao 3 Zhu, Song 2 Alipour, Sahar 2 Cao, Wanrong 2 Caraballo Garrido, Tomás 2 Chen, Lv 2 Chen, Pengyu 2 Chen, Qingmei 2 Chen, Zhang 2 Chen, Ziheng 2 Cheng, Pei 2 Cui, Yanliang 2 Eissa, Mahmoud A. 2 Fan, Zhencheng ...and 468 more Authors
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#### Cited in 105 Serials

 50 Applied Mathematics and Computation 50 Journal of Computational and Applied Mathematics 21 Discrete and Continuous Dynamical Systems. Series B 19 Journal of Mathematical Analysis and Applications 17 Journal of the Franklin Institute 17 Abstract and Applied Analysis 16 Advances in Difference Equations 13 Systems & Control Letters 9 Automatica 9 Insurance Mathematics & Economics 8 Applied Numerical Mathematics 8 Journal of Applied Mathematics and Computing 8 Nonlinear Analysis. Hybrid Systems 7 Numerical Algorithms 6 International Journal of Control 6 SIAM Journal on Control and Optimization 6 International Journal of Computer Mathematics 6 Mathematical Problems in Engineering 6 Discrete Dynamics in Nature and Society 5 Journal of Differential Equations 5 Stochastic Analysis and Applications 5 International Journal of Robust and Nonlinear Control 5 Communications in Nonlinear Science and Numerical Simulation 5 International Journal of Biomathematics 4 Statistics & Probability Letters 4 Acta Applicandae Mathematicae 4 Stochastic Processes and their Applications 4 Journal of Difference Equations and Applications 4 Mathematical Control and Related Fields 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 BIT 3 Calcolo 3 Mathematics and Computers in Simulation 3 Applied Mathematics Letters 3 Journal of Inequalities and Applications 3 Acta Mathematica Sinica. English Series 3 Journal of Applied Mathematics 3 Journal of Nonlinear Science and Applications 3 Asian Journal of Control 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Computers & Mathematics with Applications 2 Journal of Mathematical Biology 2 Mathematics of Computation 2 Applied Mathematics and Optimization 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Mathematical and Computer Modelling 2 MCSS. Mathematics of Control, Signals, and Systems 2 SIAM Journal on Applied Mathematics 2 Journal of Nonlinear Science 2 Computational and Applied Mathematics 2 Vietnam Journal of Mathematics 2 Qualitative Theory of Dynamical Systems 2 Journal of Systems Science and Complexity 2 Stochastic Models 2 Stochastics and Dynamics 2 SIAM Journal on Applied Dynamical Systems 2 Stochastics 2 Frontiers of Mathematics in China 1 Nonlinearity 1 Physica A 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Information Sciences 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 SIAM Journal on Numerical Analysis 1 Operations Research Letters 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Dynamics and Differential Equations 1 Topological Methods in Nonlinear Analysis 1 Filomat 1 Random Operators and Stochastic Equations 1 Complexity 1 Electronic Communications in Probability 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Taiwanese Journal of Mathematics 1 Revista Matemática Complutense 1 Journal of Dynamical and Control Systems 1 Methodology and Computing in Applied Probability 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Analysis. Modelling and Control 1 Communications on Pure and Applied Analysis 1 ASTIN Bulletin 1 International Journal of Computational Methods 1 Mediterranean Journal of Mathematics 1 International Journal of Differential Equations 1 Science China. Mathematics 1 International Journal of Stochastic Analysis 1 Bulletin of Mathematical Sciences 1 Journal of Applied Analysis and Computation 1 Evolution Equations and Control Theory 1 Journal of Mathematics ...and 5 more Serials
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#### Cited in 20 Fields

 314 Probability theory and stochastic processes (60-XX) 176 Ordinary differential equations (34-XX) 168 Numerical analysis (65-XX) 114 Systems theory; control (93-XX) 64 Biology and other natural sciences (92-XX) 34 Dynamical systems and ergodic theory (37-XX) 29 Partial differential equations (35-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Integral equations (45-XX) 7 Computer science (68-XX) 5 Operator theory (47-XX) 4 Difference and functional equations (39-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 4 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Functional analysis (46-XX)