# zbMATH — the first resource for mathematics

## Zhou, Xia

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 Author ID: zhou.xia Published as: Zhou, X.; Zhou, Xia
 Documents Indexed: 69 Publications since 1992
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#### Co-Authors

 2 single-authored 11 Zhong, Shou-Ming 8 Cai, Tianxin 4 Bradley, David M. 4 Fu, Xudan 3 Cheng, Jun 3 Wang, Fanggui 2 Cao, Jinde 2 Liu, Yonghong 2 Ren, Yong 2 Shen, Jiong 2 Yan, Rongfang 2 Zhao, Jianqiang 1 Chen, Ting 1 Fu, Tonglin 1 Guo, Qi 1 He, Guansheng 1 Hong, Bin 1 Jia, Huanyu 1 Kang, Wei 1 Li, Weijun 1 Li, Yiguo 1 Li, Ying 1 Li, Zong-Hai 1 Liu, Haiguo 1 Liu, Xinzhi 1 Liu, Yajuan 1 Luo, Mengzhuo 1 Mo, Yongxiang 1 Mu, Xueling 1 Park, Juhyun (Jessie) 1 Ren, Jiaojiao 1 Shao, Quan 1 Wang, Bo 1 Wang, Feifeng 1 Wang, Hailing 1 Wang, Hui 1 Wu, Hongwei 1 Wu, Yuyan 1 Xiao, Yang 1 Yang, Shuhua 1 Yao, Yunfei 1 Yu, Chenyan 1 Zeng, Deqiang 1 Zhang, Ruimei 1 Zhao, Xiaodong 1 Zheng, Xiaoping 1 Zhu, Hong
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#### Serials

 4 Journal of Sichuan Normal University. Natural Science 4 Advances in Difference Equations 3 Applied Mathematics and Computation 3 Mathematica Applicata 2 Journal of the Franklin Institute 2 Rocky Mountain Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Journal of Mathematics. Wuhan University 1 Physics Letters. B 1 Acta Arithmetica 1 Annales des Sciences Mathématiques du Québec 1 Tokyo Journal of Mathematics 1 Journal of Mathematical Research & Exposition 1 Journal of Lanzhou University. Natural Sciences 1 Mathematics in Practice and Theory 1 Journal of the Ramanujan Mathematical Society 1 Journal of Southeast University. English Edition 1 International Journal of Modern Physics D 1 Filomat 1 The Electronic Journal of Combinatorics 1 Abstract and Applied Analysis 1 Journal of Shanghai University 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Journal of Zhejiang University. Science Edition 1 Journal of Applied Mathematics 1 JP Journal of Algebra, Number Theory and Applications 1 Control and Decision 1 Journal of Zhejiang University. Science A 1 Acta Mathematica Sinica. Chinese Series 1 Communications in Theoretical Physics 1 Chinese Journal of Engineering Mathematics 1 Journal of Mathematics
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#### Fields

 15 Number theory (11-XX) 12 Systems theory; control (93-XX) 8 Probability theory and stochastic processes (60-XX) 5 Ordinary differential equations (34-XX) 4 Commutative algebra (13-XX) 4 Operations research, mathematical programming (90-XX) 3 Combinatorics (05-XX) 2 Special functions (33-XX) 2 Numerical analysis (65-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 114 times in 109 Documents Cited by Year
A generalization of a curious congruence on harmonic sums. Zbl 1115.11006
Zhou, Xia; Cai, Tianxin
2007
A saddle-point characterization of Pareto optima. Zbl 0822.90118
van Rooyen, M.; Zhou, X.; Zlobec, S.
1994
On Mordell-Tornheim sums and multiple zeta values. Zbl 1264.11079
2010
Signed $$q$$-analogs of Tornheim’s double series. Zbl 1204.11150
Zhou, Xia; Cai, Tianxin; Bradley, David M.
2008
A multiple hierarchical structure strategy to quantized control of Markovian switching systems. Zbl 1433.93080
Wang, Bo; Cheng, Jun; Zhou, Xia
2020
Riccati equations and delay-dependent BIBO stabilization of stochastic systems with mixed delays and nonlinear perturbations. Zbl 1216.93108
Zhou, Xia; Zhong, Shouming
2010
Assessing toxicities in a clinical trial: Bayesian inference for ordinal data nested within categories. Zbl 1202.62156
Leon-Novelo, L. G.; Zhou, X.; Bekele, B. Nebiyou; Müller, Peter
2010
Large sample properties of mixture models with covariates for competing risks. Zbl 1098.62559
Choi, K. C.; Zhou, X.
2002
A simple constraint qualification in convex programming. Zbl 0805.90086
Zhou, X.; Mokhtarian, F. Sharifi; Zlobec, S.
1993
Centroidal frames in dynamical systems. I: Point vortices. Zbl 0782.76018
Kunin, I. A.; Hussain, F.; Zhou, X.; Prishepionok, S. J.
1992
On the robustness of the damped $$V$$-cycle of the wavelet frequency decomposition multigrid method. Zbl 0809.65118
Rieder, A.; Zhou, X.
1994
Evolving fuzzy classifiers using different model architectures. Zbl 1186.68404
Angelov, P.; Lughofer, E.; Zhou, X.
2008
Finite-rate chemistry in modelling of two-dimensional jet premixed CH$$_4/$$air flame. Zbl 0954.76531
Zhou, X.; Brenner, G.; Weber, T.; Durst, F.
1999
Numerical simulation of turbulent jet flow and combustion. Zbl 0969.76602
Zhou, X.; Sun, Z.; Durst, F.; Brenner, G.
1999
Dynamics of a pair of vortices in a rectangle. Zbl 0899.76092
Kunin, J. A.; Hussain, F.; Zhou, X.
1994
New approaches to stability analysis for time-varying delay systems. Zbl 1412.93088
Zhang, Ruimei; Zeng, Deqiang; Park, Ju H.; Zhong, Shouming; Liu, Yajuan; Zhou, Xia
2019
Stability of delayed impulsive stochastic differential equations driven by a fractional Brown motion with time-varying delay. Zbl 1419.60047
Zhou, Xia; Liu, Xinzhi; Zhong, Shouming
2016
Robust stability of uncertain Markovian jump neural networks with mode-dependent time-varying delays and nonlinear perturbations. Zbl 1419.93046
Ren, Jiaojiao; Zhu, Hong; Zhong, Shouming; Zhou, Xia
2016
A coupled finite difference material point method and its application in explosion simulation. Zbl 1356.80062
Cui, X. X.; Zhang, X.; Zhou, X.; Liu, Y.; Zhang, F.
2014
Witten multiple zeta values attached to $$\mathfrak {sl}(4)$$. Zbl 1239.11100
Zhao, Jianqiang; Zhou, Xia
2011
On matrices related with Fibonacci and Lucas numbers. Zbl 1143.15014
Fu, Xudan; Zhou, Xia
2008
BIBO stabilization of discrete-time stochastic control systems with mixed delays and nonlinear perturbations. Zbl 1421.93129
Zhou, Xia; Ren, Yong; Zhong, Shouming
2013
Delay-probability-distribution-dependent stability criteria for discrete-time stochastic neural networks with random delays. Zbl 1391.39028
Zhou, Xia; Zhong, Shouming; Ren, Yong
2013
Implication of entropy flow for the development of a system as suggested by the life cycle of a hurricane. Zbl 1195.86009
Liu, Chongjian; Luo, Z.; Liu, Ying; Yu, H.; Zhou, X.; Wang, D.; Ma, L.; Xu, H.
2010
Depth reduction of a class of Witten zeta functions. Zbl 1235.11083
Zhou, Xia; Bradley, David M.; Cai, Tianxin
2009
On $$e$$-power $$b$$-happy numbers. Zbl 1248.11006
Zhou, Xia; Cai, Tianxin
2009
On the heights of happy numbers. Zbl 1253.11009
Cai, Tianxin; Zhou, Xia
2008
A congruence involving the quotients of Euler and its applications. II. Zbl 1135.11002
Cai, Tianxin; Fu, X. D.; Zhou, X.
2007
Hysteresis behavior and modeling of piezoceramic actuators. Zbl 1110.74804
2001
A modification of Lagrange interpolation. Zbl 1012.41001
Xie, T.; Zhou, X.
2001
Combustion modeling of turbulent jet diffusion H$$_2$$/air flame with detailed chemistry. Zbl 1094.76583
Zhou, X.; Sun, Z.; Brenner, G.; Durst, F.
2000
Stability of the four-vortex system. Zbl 0753.76037
Kunin, I. A.; Hussain, F.; Zhou, X.
1992
A multiple hierarchical structure strategy to quantized control of Markovian switching systems. Zbl 1433.93080
Wang, Bo; Cheng, Jun; Zhou, Xia
2020
New approaches to stability analysis for time-varying delay systems. Zbl 1412.93088
Zhang, Ruimei; Zeng, Deqiang; Park, Ju H.; Zhong, Shouming; Liu, Yajuan; Zhou, Xia
2019
Stability of delayed impulsive stochastic differential equations driven by a fractional Brown motion with time-varying delay. Zbl 1419.60047
Zhou, Xia; Liu, Xinzhi; Zhong, Shouming
2016
Robust stability of uncertain Markovian jump neural networks with mode-dependent time-varying delays and nonlinear perturbations. Zbl 1419.93046
Ren, Jiaojiao; Zhu, Hong; Zhong, Shouming; Zhou, Xia
2016
A coupled finite difference material point method and its application in explosion simulation. Zbl 1356.80062
Cui, X. X.; Zhang, X.; Zhou, X.; Liu, Y.; Zhang, F.
2014
BIBO stabilization of discrete-time stochastic control systems with mixed delays and nonlinear perturbations. Zbl 1421.93129
Zhou, Xia; Ren, Yong; Zhong, Shouming
2013
Delay-probability-distribution-dependent stability criteria for discrete-time stochastic neural networks with random delays. Zbl 1391.39028
Zhou, Xia; Zhong, Shouming; Ren, Yong
2013
Witten multiple zeta values attached to $$\mathfrak {sl}(4)$$. Zbl 1239.11100
Zhao, Jianqiang; Zhou, Xia
2011
On Mordell-Tornheim sums and multiple zeta values. Zbl 1264.11079
2010
Riccati equations and delay-dependent BIBO stabilization of stochastic systems with mixed delays and nonlinear perturbations. Zbl 1216.93108
Zhou, Xia; Zhong, Shouming
2010
Assessing toxicities in a clinical trial: Bayesian inference for ordinal data nested within categories. Zbl 1202.62156
Leon-Novelo, L. G.; Zhou, X.; Bekele, B. Nebiyou; Müller, Peter
2010
Implication of entropy flow for the development of a system as suggested by the life cycle of a hurricane. Zbl 1195.86009
Liu, Chongjian; Luo, Z.; Liu, Ying; Yu, H.; Zhou, X.; Wang, D.; Ma, L.; Xu, H.
2010
Depth reduction of a class of Witten zeta functions. Zbl 1235.11083
Zhou, Xia; Bradley, David M.; Cai, Tianxin
2009
On $$e$$-power $$b$$-happy numbers. Zbl 1248.11006
Zhou, Xia; Cai, Tianxin
2009
Signed $$q$$-analogs of Tornheim’s double series. Zbl 1204.11150
Zhou, Xia; Cai, Tianxin; Bradley, David M.
2008
Evolving fuzzy classifiers using different model architectures. Zbl 1186.68404
Angelov, P.; Lughofer, E.; Zhou, X.
2008
On matrices related with Fibonacci and Lucas numbers. Zbl 1143.15014
Fu, Xudan; Zhou, Xia
2008
On the heights of happy numbers. Zbl 1253.11009
Cai, Tianxin; Zhou, Xia
2008
A generalization of a curious congruence on harmonic sums. Zbl 1115.11006
Zhou, Xia; Cai, Tianxin
2007
A congruence involving the quotients of Euler and its applications. II. Zbl 1135.11002
Cai, Tianxin; Fu, X. D.; Zhou, X.
2007
Large sample properties of mixture models with covariates for competing risks. Zbl 1098.62559
Choi, K. C.; Zhou, X.
2002
Hysteresis behavior and modeling of piezoceramic actuators. Zbl 1110.74804
2001
A modification of Lagrange interpolation. Zbl 1012.41001
Xie, T.; Zhou, X.
2001
Combustion modeling of turbulent jet diffusion H$$_2$$/air flame with detailed chemistry. Zbl 1094.76583
Zhou, X.; Sun, Z.; Brenner, G.; Durst, F.
2000
Finite-rate chemistry in modelling of two-dimensional jet premixed CH$$_4/$$air flame. Zbl 0954.76531
Zhou, X.; Brenner, G.; Weber, T.; Durst, F.
1999
Numerical simulation of turbulent jet flow and combustion. Zbl 0969.76602
Zhou, X.; Sun, Z.; Durst, F.; Brenner, G.
1999
A saddle-point characterization of Pareto optima. Zbl 0822.90118
van Rooyen, M.; Zhou, X.; Zlobec, S.
1994
On the robustness of the damped $$V$$-cycle of the wavelet frequency decomposition multigrid method. Zbl 0809.65118
Rieder, A.; Zhou, X.
1994
Dynamics of a pair of vortices in a rectangle. Zbl 0899.76092
Kunin, J. A.; Hussain, F.; Zhou, X.
1994
A simple constraint qualification in convex programming. Zbl 0805.90086
Zhou, X.; Mokhtarian, F. Sharifi; Zlobec, S.
1993
Centroidal frames in dynamical systems. I: Point vortices. Zbl 0782.76018
Kunin, I. A.; Hussain, F.; Zhou, X.; Prishepionok, S. J.
1992
Stability of the four-vortex system. Zbl 0753.76037
Kunin, I. A.; Hussain, F.; Zhou, X.
1992
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#### Cited by 226 Authors

 4 Cai, Tianxin 4 Cheng, Jun 4 Galperin, Efim A. 4 Ko, Jeonghwan 4 Kurdila, Andrew J. 4 Meštrović, Romeo 4 Zhong, Shou-Ming 4 Zhou, Xia 4 Zlobec, Sanjo 3 Bailey, David Harold 3 Borwein, Jonathan Michael 3 Cao, Jinde 3 Kunin, I. 3 Nakamura, Takashi 3 Wang, Liuquan 3 Zhao, Jianqiang 2 Bhatia, Davinder 2 Bubnovich, Valeri I. 2 Cheung, Siu Hung 2 Dupuy, Jean-François 2 Escarela, Gabriel 2 Gupta, Anjana 2 Lian, Yanping 2 Lu, Tongyu 2 Mehra, Aparna 2 Moraga, Nelson O. 2 Murahara, Hideki 2 Onozuka, Tomokazu 2 Park, Juhyun (Jessie) 2 Pilant, Michael S. 2 Poon, Wai-Yin 2 Rao, Ruofeng 2 Rosas, César E. 2 Seki, Shin-ichiro 2 Tasaka, Koji 2 Wang, Xiongrui 1 Adam, Maria 1 Angelov, Plamen Parvanov 1 Antczak, Tadeusz 1 Ashbee, T. L. 1 Assimakis, Nicholas D. 1 Attal, N. 1 Balabel, Ashraf 1 Barros, Ana Isabel 1 Cai, Chao 1 Canale, Antonio 1 Cao, Huiqin 1 Carmona, Christian 1 Cha, Eunjong 1 Chen, Shaoshi 1 Chen, Yen-Liang 1 Cheng, Luhua 1 Chernykh, German A. 1 Coppenbarger, Matthew E. 1 Cosgrave, John B. 1 Crandall, Richard E. 1 de Souza, Robert 1 Dilcher, Karl 1 Dong, Shiyu 1 Ehrgott, Matthias 1 El-Askary, Wageeh A. 1 Esler, J. G. 1 Faghani, Ehsan 1 Faghani, Pedram 1 Falcon, Sergio 1 Farhanieh, Bijan 1 Frenk, Johannes B. G. 1 Gao, Dongdong 1 Goh, Mark 1 Gord, James R. 1 Grama, P. 1 Graña Drummond, L. M. 1 Grotta Ragazzo, Clodoaldo 1 Guo, Li 1 Hayter, Anthony J. 1 Hernandez-Quintero, Angelica 1 Hessami Pilehrood, Khodabakhsh 1 Hessami Pilehrood, Tatiana 1 Hirose, Minoru 1 Hossain, J. 1 Hsu, Wu-Hsien 1 Huang, Pengcheng 1 Huang, Tony Cheng-Kui 1 Hussain, Fawad 1 Hyppolite, Judex 1 Iglesias, José Antonio 1 Iusem, Alfredo Noel 1 Jeong, Kyung Ho 1 Jeyakumar, Vaithilingam 1 Jia, Lirui 1 Jimenez Guerra, Pedro 1 Kadota, Shin-Ya 1 Kamano, Ken 1 Kang, Wei 1 Kangin, Dmitry 1 Karimi, Hamid Reza 1 Karkhanis, V. 1 Kiatsupaibul, Seksan 1 Kidambi, Rangachari 1 Kim, Daeyeoul ...and 126 more Authors
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#### Cited in 68 Serials

 7 International Journal of Number Theory 5 Journal of Number Theory 5 Advances in Difference Equations 4 International Journal of Engineering Science 4 Journal of Global Optimization 3 Journal of the Franklin Institute 3 Applied Mathematics and Computation 3 Tokyo Journal of Mathematics 3 Mathematical and Computer Modelling 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Heat and Mass Transfer 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Fuzzy Sets and Systems 2 Journal of Approximation Theory 2 Numerical Functional Analysis and Optimization 2 Computational Mechanics 2 Mathematical Programming. Series A. Series B 2 Abstract and Applied Analysis 1 Computers and Fluids 1 Journal of Fluid Mechanics 1 Psychometrika 1 Acta Arithmetica 1 Annals of the Institute of Statistical Mathematics 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Illinois Journal of Mathematics 1 Information Sciences 1 Journal of Algebra 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Mathematica Scandinavica 1 Osaka Journal of Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Dynamics and Stability of Systems 1 Applications of Mathematics 1 International Journal of Computer Mathematics 1 Computational Statistics and Data Analysis 1 Archive of Applied Mechanics 1 Journal of Nonlinear Science 1 Communications in Numerical Methods in Engineering 1 Journal de Théorie des Nombres de Bordeaux 1 Physics of Fluids 1 Lifetime Data Analysis 1 Complexity 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Journal of Integer Sequences 1 European Journal of Mechanics. B. Fluids 1 Applied Mathematics E-Notes 1 Journal of Applied Mathematics 1 Entropy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Proceedings of the Steklov Institute of Mathematics 1 Advances in Data Analysis and Classification. ADAC 1 Journal of Statistical Theory and Practice 1 Journal of Applied Mathematics & Informatics 1 ISRN Discrete Mathematics 1 Bayesian Analysis 1 ISRN Combinatorics 1 Journal of Statistical Distributions and Applications
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#### Cited in 33 Fields

 38 Number theory (11-XX) 16 Operations research, mathematical programming (90-XX) 13 Systems theory; control (93-XX) 12 Statistics (62-XX) 11 Fluid mechanics (76-XX) 7 Combinatorics (05-XX) 7 Special functions (33-XX) 7 Ordinary differential equations (34-XX) 6 Numerical analysis (65-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Nonassociative rings and algebras (17-XX) 2 Sequences, series, summability (40-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)