# zbMATH — the first resource for mathematics

## Liu, Kai

Compute Distance To:
 Author ID: liu.kai Published as: Liu, K.; Liu, Kai Homepage: https://www.liverpool.ac.uk/mathematical-sciences/staff/kai-liu/ External Links: MGP · Wikidata
 Documents Indexed: 98 Publications since 1997, including 2 Books Reviewing Activity: 36 Reviews
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#### Co-Authors

 24 single-authored 5 Caraballo Garrido, Tomás 5 Chen, Anyue 5 Truman, Aubrey 3 Luo, Jiaowan 3 Mao, Xuerong 3 Xia, Xuewen 2 Li, Zhi 2 Shi, Yufeng 2 Zou, Jiezhong 1 Chow, Pao-Liu 1 Gu, Yanling 1 Hu, Liangjian 1 Rennolls, Keith 1 Taniguchi, Takeshi 1 Zhang, Hanjun 1 Zhang, Tusheng S.
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#### Serials

 10 Stochastic Analysis and Applications 6 Stochastic Processes and their Applications 3 Statistics & Probability Letters 2 Applied Mathematics Letters 2 Discrete and Continuous Dynamical Systems. Series B 1 Advances in Applied Probability 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Optimization 1 Journal of Applied Probability 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematics of Kyoto University 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Tohoku Mathematical Journal. Second Series 1 Systems & Control Letters 1 Advances in Mathematics 1 Journal of Theoretical Probability 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastics and Stochastics Reports 1 Potential Analysis 1 Abstract and Applied Analysis 1 Markov Processes and Related Fields 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Applied Mathematics 1 International Journal of Differential Equations and Applications
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#### Fields

 47 Probability theory and stochastic processes (60-XX) 19 Systems theory; control (93-XX) 17 Ordinary differential equations (34-XX) 7 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

64 Publications have been cited 658 times in 404 Documents Cited by Year
Existence, uniqueness, and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces. Zbl 1009.34074
Taniguchi, Takeshi; Liu, Kai; Truman, Aubrey
2002
Stability of infinite dimensional stochastic differential equations with applications. Zbl 1085.60003
Liu, Kai
2006
Exponential stability of mild solutions of stochastic partial differential equations with delays. Zbl 0943.60050
Caraballo, Tomás; Liu, Kai
1999
Comparison theorems of backward doubly stochastic differential equations and applications. Zbl 1067.60046
Shi, Yufeng; Gu, Yanling; Liu, Kai
2005
Stability of infinite dimensional stochastic evolution equations with memory and Markovian jumps. Zbl 1186.93070
Luo, Jiaowan; Liu, Kai
2008
On the exponential stability in mean square of neutral stochastic functional differential equations. Zbl 0948.93060
Liu, Kai; Xia, Xuewen
1999
Stochastic functional partial differential equations: Existence, uniqueness and asymptotic decay property. Zbl 0972.60053
Caraballo, Tomás; Liu, Kai; Truman, Aubrey
2000
Exponential stability of non-linear stochastic evolution equations. Zbl 0933.60072
Liu, Kai; Mao, Xuerong
1998
On exponential stability criteria of stochastic partial differential equations. Zbl 0997.60065
Caraballo, Tomás; Liu, Kai
1999
Lyapunov functionals and asymptotic stability of stochastic delay evolution equations. Zbl 0947.93037
Liu, Kai
1998
A note on almost sure exponential stability for stochastic partial functional differential equations. Zbl 0966.60059
Liu, Kai; Truman, Aubrey
2000
On stabilization of partial differential equations by noise. Zbl 0986.60058
Caraballo, Tomás; Liu, Kai; Mao, Xuerong
2001
On stability for a class of semilinear stochastic evolution equations. Zbl 0911.60049
Liu, Kai
1997
Large time decay behavior of dynamical equations with random perturbation features. Zbl 0997.93095
Liu, Kai; Mao, Xuerong
2001
The fundamental solution and its role in the optimal control of infinite dimensional neutral systems. Zbl 1211.49030
Liu, Kai
2009
Stochastic retarded evolution equations: Green operators, convolutions, and solutions. Zbl 1181.34086
Liu, Kai
2008
Uniform stability of autonomous linear stochastic functional differential equations in infinite dimensions. Zbl 1075.60078
Liu, Kai
2005
Razumikhin-type theorems of infinite dimensional stochastic functional differential equations. Zbl 1217.60055
Liu, Kai; Shi, Yufeng
2006
Moment decay rates of solutions of stochastic differential equations. Zbl 0997.93097
Liu, Kai; Chen, Anyue
2001
Stationary solutions of retarded Ornstein-Uhlenbeck processes in Hilbert spaces. Zbl 1154.60053
Liu, Kai
2008
Self-induced velocity correction for improved drag estimation in Euler-Lagrange point-particle simulations. Zbl 1416.76241
Balachandar, S.; Liu, Kai; Lakhote, Mandar
2019
On almost periodic mild solutions for neutral stochastic evolution equations with infinite delay. Zbl 1314.60129
Li, Zhi; Liu, Kai; Luo, Jiaowan
2014
A criterion for stationary solutions of retarded linear equations with additive noise. Zbl 1237.60051
Liu, Kai
2011
Retarded stationary Ornstein-Uhlenbeck processes driven by Lévy noise and operator self-decomposability. Zbl 1223.60030
Liu, Kai
2010
Positivity and explosion in mean $$L^p$$-norm of stochastic functional parabolic equations of retarded type. Zbl 1242.60062
Chow, Pao-Liu; Liu, Kai
2012
Birth-death processes with disaster and instantaneous resurrection. Zbl 1049.60066
Chen, Anyue; Zhang, Hanjun; Liu, Kai; Rennolls, Keith
2004
Carathéodory approximate solutions for a class of semilinear stochastic evolution equations with time delays. Zbl 0912.60073
Liu, Kai
1998
Moment and almost sure Lyapunov exponents of mild solutions of stochastic evolution equations with variable delays via approximation approaches. Zbl 1021.60048
Liu, Kai; Truman, Aubrey
2001
Nonlinear studies of tumor morphological stability using a two-fluid flow model. Zbl 1407.76031
Pham, Kara; Turian, Emma; Liu, Kai; Li, Shuwang; Lowengrub, John
2018
Sensitivity to small delays of pathwise stability for stochastic retarded evolution equations. Zbl 1404.60091
Liu, Kai
2018
Almost sure exponential stability sensitive to small time delay of stochastic neutral functional differential equations. Zbl 1388.60099
Liu, Kai
2018
On regularity property of retarded Ornstein-Uhlenbeck processes in Hilbert spaces. Zbl 1306.60091
Liu, Kai
2012
Analysis of monitoring and limiting of commercial cheating: a newsvendor model. Zbl 1084.90009
Liu, K.; Li, J.-A.; Lai, K. K.; Wu, Y.
2005
Lyapunov function approaches and asymptotic stability of stochastic evolution equations in Hilbert spaces: A survey of recent developments. Zbl 1013.60034
Liu, Kai; Truman, Aubrey
2002
Parallel multisplitting iterative methods for singular $$M$$-matrices. Zbl 1051.65034
Li, Wen; Sun, W.; Liu, K.
2001
Some remarks on exponential stability of stochastic differential equations. Zbl 0976.93086
Liu, Kai
2001
A note on the periodicity of entire functions. Zbl 1425.30033
Liu, Kai; Yu, Peiyong
2019
A novel method for control performance assessment with fractional order signal processing and its application to semiconductor manufacturing. Zbl 07154074
Liu, Kai; Chen, Yangquan; Domański, Paweł D.; Zhang, Xi
2018
Stationary solutions of neutral stochastic partial differential equations with delays in the highest-order derivatives. Zbl 1404.60092
Liu, Kai
2018
Semi-parametric likelihood inference for Birnbaum-Saunders frailty model. Zbl 06890263
Balakrishnan, N.; Liu, Kai
2018
On stationarity of stochastic retarded linear equations with unbounded drift operators. Zbl 1342.60099
Liu, Kai
2016
Local fractional $$Z$$-transforms with applications to signals on Cantor sets. Zbl 07022798
Liu, Kai; Hu, Ren-Jie; Cattani, Carlo; Xie, Gong-Nan; Yang, Xiao-Jun; Zhao, Yang
2014
Quadratic control problem of neutral Ornstein-Uhlenbeck processes with control delays. Zbl 1401.60123
Liu, Kai
2013
Robustness of pathwise stability of semilinear perturbed stochastic evolution equations. Zbl 1067.60055
Liu, Kai; Zou, Jiezhong
2004
$$p$$-th moment growth bounds of infinite-dimensional stochastic evolution equations. Zbl 0899.60051
Liu, Kai
1998
Analysis of a special immersed finite volume method for elliptic interface problems. Zbl 1431.65200
Liu, Kai; Zou, Qingsong
2019
Morphological stability of an elastic tumor-host interface. Zbl 07085936
Turian, Emma; Liu, Kai; Lowengrub, John; Li, Shuwang
2019
Entire function sharing a small function with its mixed-operators. Zbl 1418.30028
Dong, Xianjing; Liu, Kai
2019
An optimized quantum representation for color digital images. Zbl 1414.81074
Liu, Kai; Zhang, Yi; Lu, Kai; Wang, Xiaoping; Wang, Xin
2018
The zeros on complex differential-difference polynomials of certain types. Zbl 1446.30049
Song, Changjiang; Liu, Kai; Ma, Lei
2018
Chiral Majorana fermion modes in a quantum anomalous Hall insulator-superconductor structure. Zbl 1404.81333
He, Qing Lin; Pan, Lei; Stern, Alexander L.; Burks, Edward; Che, Xiaoyu; Yin, Gen; Wang, Jing; Lian, Biao; Zhou, Quan; Choi, Eun Sang; Murata, Koichi; Kou, Xufeng; Nie, Tianxiao; Shao, Qiming; Fan, Yabin; Zhang, Shou-Cheng; Liu, Kai; Xia, Jing; Wang, Kang L.
2017
Nonlinear mechanics of non-rigid origami: an efficient computational approach! Zbl 1404.74105
Liu, K.; Paulino, G. H.
2017
Norm continuity of solution semigroups of a class of neutral functional differential equations with distributed delay. Zbl 1375.34112
Liu, Kai
2017
Global attracting set, exponential decay and stability in distribution of neutral SPDEs driven by additive $$\alpha$$-stable processes. Zbl 1354.60072
Liu, Kai; Li, Zhi
2016
A finite-difference scheme combining with finite-volume technique by using general quadrilateral cells. Zbl 1401.76101
Zhu, Zheming; Zeng, Ligang; Liu, Kai; Fu, Yangcheng
2014
A large deviation principle of retarded Ornstein-Uhlenbeck processes driven by Lévy noise. Zbl 1308.60029
Liu, Kai; Zhang, Tusheng
2014
Existence of invariant measures of stochastic systems with delay in the highest order partial derivatives. Zbl 1303.60057
Liu, Kai
2014
Stability property and essential spectrum of linear retarded functional differential equations. Zbl 1280.34073
Liu, Kai; Hu, Liangjian; Luo, Jiaowan
2013
Spectral properties and finite pole assignment of linear neutral systems in Banach spaces. Zbl 1204.34104
Xia, Xuewen; Liu, Kai
2010
Birth-death processes with an instantaneous reflection barrier. Zbl 1026.60092
Chen, Anyue; Liu, Kai
2003
Necessary and sufficient conditions for exponential stability and ultimate boundedness of systems governed by stochastic partial differential equations. Zbl 0960.60060
Liu, Kai
2000
Stability and asymptotic growth rate of stochastic Navier-Stokes equations. Zbl 1171.60357
Xia, Xuewen; Liu, Kai
1999
Almost sure growth bounds of nonlinear stochastic evolution equations in Hilbert space. Zbl 0923.60068
Liu, Kai
1999
Stability with a general rate function for a class of stochastic evolution equations in infinite dimensional spaces. Zbl 0893.93030
Liu, Kai
1997
Self-induced velocity correction for improved drag estimation in Euler-Lagrange point-particle simulations. Zbl 1416.76241
Balachandar, S.; Liu, Kai; Lakhote, Mandar
2019
A note on the periodicity of entire functions. Zbl 1425.30033
Liu, Kai; Yu, Peiyong
2019
Analysis of a special immersed finite volume method for elliptic interface problems. Zbl 1431.65200
Liu, Kai; Zou, Qingsong
2019
Morphological stability of an elastic tumor-host interface. Zbl 07085936
Turian, Emma; Liu, Kai; Lowengrub, John; Li, Shuwang
2019
Entire function sharing a small function with its mixed-operators. Zbl 1418.30028
Dong, Xianjing; Liu, Kai
2019
Nonlinear studies of tumor morphological stability using a two-fluid flow model. Zbl 1407.76031
Pham, Kara; Turian, Emma; Liu, Kai; Li, Shuwang; Lowengrub, John
2018
Sensitivity to small delays of pathwise stability for stochastic retarded evolution equations. Zbl 1404.60091
Liu, Kai
2018
Almost sure exponential stability sensitive to small time delay of stochastic neutral functional differential equations. Zbl 1388.60099
Liu, Kai
2018
A novel method for control performance assessment with fractional order signal processing and its application to semiconductor manufacturing. Zbl 07154074
Liu, Kai; Chen, Yangquan; Domański, Paweł D.; Zhang, Xi
2018
Stationary solutions of neutral stochastic partial differential equations with delays in the highest-order derivatives. Zbl 1404.60092
Liu, Kai
2018
Semi-parametric likelihood inference for Birnbaum-Saunders frailty model. Zbl 06890263
Balakrishnan, N.; Liu, Kai
2018
An optimized quantum representation for color digital images. Zbl 1414.81074
Liu, Kai; Zhang, Yi; Lu, Kai; Wang, Xiaoping; Wang, Xin
2018
The zeros on complex differential-difference polynomials of certain types. Zbl 1446.30049
Song, Changjiang; Liu, Kai; Ma, Lei
2018
Chiral Majorana fermion modes in a quantum anomalous Hall insulator-superconductor structure. Zbl 1404.81333
He, Qing Lin; Pan, Lei; Stern, Alexander L.; Burks, Edward; Che, Xiaoyu; Yin, Gen; Wang, Jing; Lian, Biao; Zhou, Quan; Choi, Eun Sang; Murata, Koichi; Kou, Xufeng; Nie, Tianxiao; Shao, Qiming; Fan, Yabin; Zhang, Shou-Cheng; Liu, Kai; Xia, Jing; Wang, Kang L.
2017
Nonlinear mechanics of non-rigid origami: an efficient computational approach! Zbl 1404.74105
Liu, K.; Paulino, G. H.
2017
Norm continuity of solution semigroups of a class of neutral functional differential equations with distributed delay. Zbl 1375.34112
Liu, Kai
2017
On stationarity of stochastic retarded linear equations with unbounded drift operators. Zbl 1342.60099
Liu, Kai
2016
Global attracting set, exponential decay and stability in distribution of neutral SPDEs driven by additive $$\alpha$$-stable processes. Zbl 1354.60072
Liu, Kai; Li, Zhi
2016
On almost periodic mild solutions for neutral stochastic evolution equations with infinite delay. Zbl 1314.60129
Li, Zhi; Liu, Kai; Luo, Jiaowan
2014
Local fractional $$Z$$-transforms with applications to signals on Cantor sets. Zbl 07022798
Liu, Kai; Hu, Ren-Jie; Cattani, Carlo; Xie, Gong-Nan; Yang, Xiao-Jun; Zhao, Yang
2014
A finite-difference scheme combining with finite-volume technique by using general quadrilateral cells. Zbl 1401.76101
Zhu, Zheming; Zeng, Ligang; Liu, Kai; Fu, Yangcheng
2014
A large deviation principle of retarded Ornstein-Uhlenbeck processes driven by Lévy noise. Zbl 1308.60029
Liu, Kai; Zhang, Tusheng
2014
Existence of invariant measures of stochastic systems with delay in the highest order partial derivatives. Zbl 1303.60057
Liu, Kai
2014
Quadratic control problem of neutral Ornstein-Uhlenbeck processes with control delays. Zbl 1401.60123
Liu, Kai
2013
Stability property and essential spectrum of linear retarded functional differential equations. Zbl 1280.34073
Liu, Kai; Hu, Liangjian; Luo, Jiaowan
2013
Positivity and explosion in mean $$L^p$$-norm of stochastic functional parabolic equations of retarded type. Zbl 1242.60062
Chow, Pao-Liu; Liu, Kai
2012
On regularity property of retarded Ornstein-Uhlenbeck processes in Hilbert spaces. Zbl 1306.60091
Liu, Kai
2012
A criterion for stationary solutions of retarded linear equations with additive noise. Zbl 1237.60051
Liu, Kai
2011
Retarded stationary Ornstein-Uhlenbeck processes driven by Lévy noise and operator self-decomposability. Zbl 1223.60030
Liu, Kai
2010
Spectral properties and finite pole assignment of linear neutral systems in Banach spaces. Zbl 1204.34104
Xia, Xuewen; Liu, Kai
2010
The fundamental solution and its role in the optimal control of infinite dimensional neutral systems. Zbl 1211.49030
Liu, Kai
2009
Stability of infinite dimensional stochastic evolution equations with memory and Markovian jumps. Zbl 1186.93070
Luo, Jiaowan; Liu, Kai
2008
Stochastic retarded evolution equations: Green operators, convolutions, and solutions. Zbl 1181.34086
Liu, Kai
2008
Stationary solutions of retarded Ornstein-Uhlenbeck processes in Hilbert spaces. Zbl 1154.60053
Liu, Kai
2008
Stability of infinite dimensional stochastic differential equations with applications. Zbl 1085.60003
Liu, Kai
2006
Razumikhin-type theorems of infinite dimensional stochastic functional differential equations. Zbl 1217.60055
Liu, Kai; Shi, Yufeng
2006
Comparison theorems of backward doubly stochastic differential equations and applications. Zbl 1067.60046
Shi, Yufeng; Gu, Yanling; Liu, Kai
2005
Uniform stability of autonomous linear stochastic functional differential equations in infinite dimensions. Zbl 1075.60078
Liu, Kai
2005
Analysis of monitoring and limiting of commercial cheating: a newsvendor model. Zbl 1084.90009
Liu, K.; Li, J.-A.; Lai, K. K.; Wu, Y.
2005
Birth-death processes with disaster and instantaneous resurrection. Zbl 1049.60066
Chen, Anyue; Zhang, Hanjun; Liu, Kai; Rennolls, Keith
2004
Robustness of pathwise stability of semilinear perturbed stochastic evolution equations. Zbl 1067.60055
Liu, Kai; Zou, Jiezhong
2004
Birth-death processes with an instantaneous reflection barrier. Zbl 1026.60092
Chen, Anyue; Liu, Kai
2003
Existence, uniqueness, and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces. Zbl 1009.34074
Taniguchi, Takeshi; Liu, Kai; Truman, Aubrey
2002
Lyapunov function approaches and asymptotic stability of stochastic evolution equations in Hilbert spaces: A survey of recent developments. Zbl 1013.60034
Liu, Kai; Truman, Aubrey
2002
On stabilization of partial differential equations by noise. Zbl 0986.60058
Caraballo, Tomás; Liu, Kai; Mao, Xuerong
2001
Large time decay behavior of dynamical equations with random perturbation features. Zbl 0997.93095
Liu, Kai; Mao, Xuerong
2001
Moment decay rates of solutions of stochastic differential equations. Zbl 0997.93097
Liu, Kai; Chen, Anyue
2001
Moment and almost sure Lyapunov exponents of mild solutions of stochastic evolution equations with variable delays via approximation approaches. Zbl 1021.60048
Liu, Kai; Truman, Aubrey
2001
Parallel multisplitting iterative methods for singular $$M$$-matrices. Zbl 1051.65034
Li, Wen; Sun, W.; Liu, K.
2001
Some remarks on exponential stability of stochastic differential equations. Zbl 0976.93086
Liu, Kai
2001
Stochastic functional partial differential equations: Existence, uniqueness and asymptotic decay property. Zbl 0972.60053
Caraballo, Tomás; Liu, Kai; Truman, Aubrey
2000
A note on almost sure exponential stability for stochastic partial functional differential equations. Zbl 0966.60059
Liu, Kai; Truman, Aubrey
2000
Necessary and sufficient conditions for exponential stability and ultimate boundedness of systems governed by stochastic partial differential equations. Zbl 0960.60060
Liu, Kai
2000
Exponential stability of mild solutions of stochastic partial differential equations with delays. Zbl 0943.60050
Caraballo, Tomás; Liu, Kai
1999
On the exponential stability in mean square of neutral stochastic functional differential equations. Zbl 0948.93060
Liu, Kai; Xia, Xuewen
1999
On exponential stability criteria of stochastic partial differential equations. Zbl 0997.60065
Caraballo, Tomás; Liu, Kai
1999
Stability and asymptotic growth rate of stochastic Navier-Stokes equations. Zbl 1171.60357
Xia, Xuewen; Liu, Kai
1999
Almost sure growth bounds of nonlinear stochastic evolution equations in Hilbert space. Zbl 0923.60068
Liu, Kai
1999
Exponential stability of non-linear stochastic evolution equations. Zbl 0933.60072
Liu, Kai; Mao, Xuerong
1998
Lyapunov functionals and asymptotic stability of stochastic delay evolution equations. Zbl 0947.93037
Liu, Kai
1998
Carathéodory approximate solutions for a class of semilinear stochastic evolution equations with time delays. Zbl 0912.60073
Liu, Kai
1998
$$p$$-th moment growth bounds of infinite-dimensional stochastic evolution equations. Zbl 0899.60051
Liu, Kai
1998
On stability for a class of semilinear stochastic evolution equations. Zbl 0911.60049
Liu, Kai
1997
Stability with a general rate function for a class of stochastic evolution equations in infinite dimensional spaces. Zbl 0893.93030
Liu, Kai
1997
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#### Cited by 522 Authors

 24 Liu, Kai 18 Caraballo Garrido, Tomás 15 Luo, Jiaowan 13 Mao, Xuerong 11 Diop, Mamadou Abdoul 10 Li, Zhi 10 Yuan, Chenggui 9 Bao, Jianhai 8 Garrido-Atienza, María José 7 Hu, Liangjian 7 Jiang, Feng 7 Ren, Yong 7 Sakthivel, Rathinasamy 7 Taniguchi, Takeshi 6 Chen, Huabin 6 Ezzinbi, Khalil 6 Govindan, T. E. 6 Janković, Svetlana 6 Owo, Jean-Marc 6 Real Anguas, José 6 Yan, Litan 5 Balasubramaniam, Pagavathigounder 5 Fu, Xianlong 5 Mao, Wei 5 Xu, Daoyi 5 Xu, Liping 5 Yang, Hua 4 Appleby, John A. D. 4 Cui, Jing 4 Hammami, Mohamed Ali 4 Lin, Qian 4 Mahmudov, Nazim Idrisoglu 4 Shi, Yufeng 4 Zhang, Qimin 4 Zhu, Quanxin 3 Arthi, Ganesan 3 Bao, Haibo 3 Boufoussi, Brahim 3 Cao, Jinde 3 Chala, Adel 3 Chen, Anyue 3 Chen, Pengyu 3 Hajji, Salah 3 Hou, Zhenting 3 Jahanipur, Ruhollah 3 Lan, Guangqiang 3 Li, Dingshi 3 Li, Shuwang 3 Li, Yongxiang 3 Lo, Modou 3 Long, Shujun 3 Mchiri, Lassaad 3 N’Zi, Modeste 3 Pavlović, Gorica 3 Pei, Bin 3 Sow, Ahmadou Bamba 3 Vas’kovskii, M. M. 3 Wen, Jiaqiang 3 Xu, Yong 3 Yan, Zuomao 3 Yang, Zhiguo 3 Zhang, Xuping 2 Ali, Harouna Souley 2 Alsaadi, Fuad Eid S. 2 Aman, Auguste 2 Anguraj, Annamalai 2 Balachandran, Krishnan 2 Balakrishnan, Narayanaswamy 2 Barbata, Asma 2 Cao, Junfei 2 Cao, Wanrong 2 Chen, Guiling 2 Chen, Zhang 2 Chow, Pao-Liu 2 Cung The Anh 2 Di Crescenzo, Antonio 2 Dieye, Moustapha 2 Do, Khac Duc 2 Domański, Paweł D. 2 Duan, Pengju 2 Giorno, Virginia 2 Górajski, Mariusz 2 Gupta, Umesh C. 2 Han, Chongzhao 2 Huang, Chengming 2 Huang, Zaitang 2 Jiang, Daqing 2 Jovanović, Miljana 2 Kumar, Nitin 2 Kundu, Debasis 2 Langa, Jose’ Antonio 2 Lattanzi, Aaron M. 2 Li, Junping 2 Li, Kexue 2 Li, Ronghua 2 Li, Xiaodi 2 Lin, Wei 2 Liu, Bing 2 Liu, Chun 2 Liu, Kai ...and 422 more Authors
all top 5

#### Cited in 134 Serials

 28 Statistics & Probability Letters 26 Stochastic Analysis and Applications 19 Journal of Mathematical Analysis and Applications 18 Applied Mathematics and Computation 15 Advances in Difference Equations 13 Stochastics and Dynamics 10 Journal of Computational and Applied Mathematics 9 Journal of the Franklin Institute 8 International Journal of Control 8 Journal of Differential Equations 8 Systems & Control Letters 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Abstract and Applied Analysis 6 Computers & Mathematics with Applications 6 Journal of Mathematical Physics 6 Stochastic Processes and their Applications 6 Random Operators and Stochastic Equations 6 Mathematical Problems in Engineering 5 Journal of Fluid Mechanics 5 Journal of Theoretical Probability 5 Applied Mathematics Letters 5 Acta Mathematica Sinica. English Series 5 Differential Equations 5 Communications on Pure and Applied Analysis 5 Afrika Matematika 4 Proceedings of the American Mathematical Society 4 Journal of Inequalities and Applications 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Applied Mathematics 4 Stochastics 4 Journal of Nonlinear Science and Applications 3 Mathematical Methods in the Applied Sciences 3 Automatica 3 Acta Applicandae Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 Probability Theory and Related Fields 3 Discrete and Continuous Dynamical Systems 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Science China. Mathematics 3 Asian Journal of Control 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society 2 International Journal of Theoretical Physics 2 Applied Mathematics and Optimization 2 Collectanea Mathematica 2 Results in Mathematics 2 Semigroup Forum 2 Mathematical and Computer Modelling 2 Journal of Mathematical Sciences (New York) 2 Communications in Nonlinear Science and Numerical Simulation 2 Applied Stochastic Models in Business and Industry 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Frontiers of Mathematics in China 2 Nonlinear Analysis. Hybrid Systems 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 Modern Physics Letters B 1 Advances in Applied Probability 1 Computers and Fluids 1 International Journal of Engineering Science 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Systems Science 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics 1 Reports on Mathematical Physics 1 Transport Theory and Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Fuzzy Sets and Systems 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Mathematika 1 Nagoya Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Tohoku Mathematical Journal. Second Series 1 Applied Mathematics and Mechanics. (English Edition) 1 Physica D 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Applied Mathematics and Stochastic Analysis 1 Annals of Operations Research 1 The Annals of Applied Probability 1 Applied Mathematical Modelling 1 Communications in Statistics. Theory and Methods 1 European Journal of Operational Research 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 International Journal of Robust and Nonlinear Control 1 Potential Analysis 1 Numerical Linear Algebra with Applications 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations ...and 34 more Serials
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#### Cited in 28 Fields

 302 Probability theory and stochastic processes (60-XX) 107 Ordinary differential equations (34-XX) 105 Systems theory; control (93-XX) 99 Partial differential equations (35-XX) 29 Numerical analysis (65-XX) 28 Operator theory (47-XX) 15 Biology and other natural sciences (92-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Integral equations (45-XX) 9 Fluid mechanics (76-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Real functions (26-XX) 5 Mechanics of deformable solids (74-XX) 4 Functions of a complex variable (30-XX) 4 Difference and functional equations (39-XX) 4 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX)

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