# zbMATH — the first resource for mathematics

## Xu, Tianzhou

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 Author ID: xu.tianzhou Published as: Xu, T.; Xu, T. Z.; Xu, Tian Zhou; Xu, Tian-Zhou; Xu, Tianzhou
 Documents Indexed: 81 Publications since 1990
all top 5

#### Co-Authors

 18 single-authored 18 Rassias, John Michael 13 Xu, Wanxin 9 Wang, Gangwei 7 Li, Bingzhao 7 Wang, Chun 7 Yang, Shaojie 7 Yang, Zhanpeng 4 Cheng, Wenguang 3 Qi, Min 2 Biswas, Anjan 2 Rassias, Matina John 2 Wang, Jiao 1 Abazari, Reza 1 Cai, Tao 1 Ciepliński, Krzysztof 1 Ding, Yali 1 Duan, Peichao 1 Ebadi, Ghodrat 1 Gao, Hui 1 Johnson, Stephen L. 1 Liu, Xiqiang 1 Liu, Xu 1 Qiao, Zhijun 1 Qiu, Deqin 1 Rassias, Themistocles Michael 1 Ren, Wenjuan 1 Strong, Andre J. 1 Tao, Ran 1 Triki, Houria 1 Wang, Yue 1 Wei, Yanqiao 1 Xie, Jiaquan 1 Zedan, Hassan A. 1 Zheng, Qinglin
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#### Serials

 5 Journal of Computational Analysis and Applications 4 Abstract and Applied Analysis 3 Journal of Beijing Institute of Technology. English Edition 3 Journal of Mathematical Physics 3 Applied Mathematics and Computation 3 Applied Mathematics Letters 3 Nonlinear Dynamics 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Differential Equations 2 Publicationes Mathematicae 2 Journal of Nanjing University. Mathematical Biquarterly 2 Journal of Systems Science and Mathematical Sciences 2 Advances in Applied Clifford Algebras 2 Mathematical Problems in Engineering 2 Journal of Inequalities and Applications 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Applicable Analysis 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 Information Sciences 1 Journal of Computational and Applied Mathematics 1 Kodai Mathematical Journal 1 Monatshefte für Mathematik 1 Results in Mathematics 1 Northeastern Mathematical Journal 1 Signal Processing 1 Applications of Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Baoji College of Arts and Science. Natural Science 1 Soft Computing 1 Chinese Quarterly Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 Acta Analysis Functionalis Applicata. AAFA 1 Nonlinear Analysis. Modelling and Control 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Intelligent and Fuzzy Systems 1 Fixed Point Theory and Applications 1 Iranian Journal of Fuzzy Systems 1 Carpathian Journal of Mathematics 1 Boundary Value Problems 1 Complex Analysis and Operator Theory 1 Acta Mathematica Sinica. Chinese Series 1 Journal of Mathematical Inequalities 1 European Journal of Pure and Applied Mathematics 1 Applied and Computational Mathematics 1 ISRN Mathematical Analysis 1 Journal of Function Spaces
all top 5

#### Fields

 26 Functional analysis (46-XX) 24 Difference and functional equations (39-XX) 20 Partial differential equations (35-XX) 9 Operator theory (47-XX) 7 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Numerical analysis (65-XX) 4 Information and communication theory, circuits (94-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 2 Topological groups, Lie groups (22-XX) 2 Fluid mechanics (76-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

54 Publications have been cited 284 times in 198 Documents Cited by Year
Invariant analysis and exact solutions of nonlinear time fractional Sharma-Tasso-Olver equation by Lie group analysis. Zbl 1319.35291
Wang, Gang-Wei; Xu, Tian-Zhou
2014
Singular solitons, shock waves, and other solutions to potential KdV equation. Zbl 1306.35116
Wang, Gang-Wei; Xu, Tian-Zhou; Ebadi, Ghodrat; Johnson, Stephen; Strong, Andre J.; Biswas, Anjan
2014
Stability of a general mixed additive-cubic functional equation in non-Archimedean fuzzy normed spaces. Zbl 1309.30029
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2010
Intuitionistic fuzzy stability of a general mixed additive-cubic equation. Zbl 1311.46066
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2010
A fixed point approach to the stability of quintic and sextic functional equations in quasi-$$\beta$$-normed spaces. Zbl 1219.39020
Xu, Tian Zhou; Rassias, John Michael; Rassias, Matina John; Xu, Wan Xin
2010
On the stability of multi-Jensen mappings in $$\beta$$-normed spaces. Zbl 1253.39035
Xu, Tian Zhou
2012
A generalized mixed quadratic-quartic functional equation. Zbl 1248.39019
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2012
A fixed point approach to the stability of a general mixed AQCQ-functional equation in non-Archimedean normed spaces. Zbl 1198.39041
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2010
Stability of multi-Jensen mappings in non-Archimedean normed spaces. Zbl 1275.47135
Xu, Tian Zhou
2012
Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces. Zbl 1258.39016
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2012
On the Hyers-Ulam stability of a general mixed additive and cubic functional equation in $$n$$-Banach spaces. Zbl 1237.39036
Xu, Tian Zhou; Rassias, John Michael
2012
Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives. Zbl 1363.34023
Wang, Chun; Xu, Tian-Zhou
2015
Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation. Zbl 1293.22006
Wang, Gangwei; Xu, Tianzhou
2013
Generalized Ulam-Hyers stability of a general mixed AQCQ-functional equation in multi-Banach spaces: a fixed point approach. Zbl 1213.39030
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2010
The Poisson sum formulae associated with the fractional Fourier transform. Zbl 1161.94339
Li, Bing-Zhao; Tao, Ran; Xu, Tian-Zhou; Wang, Yue
2009
Application of the combined boundary element and finite element method to slab and slab-on-girder bridges. Zbl 0925.73873
Ng, S. F.; Cheung, M. S.; Xu, T.
1990
On the stability of a general mixed additive-cubic functional equation in random normed spaces. Zbl 1198.39040
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2010
Approximation septic and octic mappings in quasi-$$\beta$$-normed spaces. Zbl 1279.39024
Xu, Tian Zhou; Rassias, John Michael
2013
Numerical simulation for coupled systems of nonlinear fractional order integro-differential equations via wavelets method. Zbl 1426.65119
Wang, Jiao; Xu, Tian-Zhou; Wei, Yan-Qiao; Xie, Jia-Quan
2018
New explicit solutions of the fifth-order KdV equation with variable coefficients. Zbl 1295.22028
Wang, Gang-Wei; Xu, Tian-Zhou; Liu, Xi-Qiang
2014
Direct and fixed point approaches to the stability of an AQ-functional equation in non-Archimedean normed spaces. Zbl 1297.39039
Xu, Tian Zhou; Yang, Zhanpeng; Rassias, John Michael
2014
Approximate multi-Jensen and multi-quadratic mappings in 2-Banach spaces. Zbl 1299.39023
Ciepliński, Krzysztof; Xu, Tian Zhou
2013
Spectral analysis of sampled signals in the linear canonical transform domain. Zbl 1264.94057
Li, Bing-Zhao; Xu, Tian-Zhou
2012
A fixed point approach to the intuitionistic fuzzy stability of quintic and sextic functional equations. Zbl 1260.39038
Xu, Tian Zhou; Rassias, Matina John; Xu, Wan Xin; Rassias, John Michael
2012
A generalized mixed additive-cubic functional equation. Zbl 1237.39020
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2011
Invariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equation. Zbl 1419.35229
Wang, Gangwei; Xu, Tianzhou
2015
On the stability of multi-additive mappings in non-Archimedean normed spaces. Zbl 1321.39036
Xu, Tian Zhou; Wang, Chun; Rassias, Themistocles M.
2015
Approximate multi-Jensen, multi-Euler-Lagrange additive and quadratic mappings in $$n$$-Banach spaces. Zbl 07095206
Xu, Tian Zhou
2013
Parseval relationship of samples in the fractional Fourier transform domain. Zbl 1252.42045
Li, Bing-Zhao; Xu, Tian-Zhou
2012
Particle image velocimetry measurements of the velocity profile in He II forced flow. Zbl 1182.76837
Xu, T.; Van Sciver, S. W.
2007
Robust estimator for correlated observations based on bifactor equivalent weights. Zbl 1158.86340
Yang, Y.; Song, L.; Xu, T.
2002
$$N$$-th Bäcklund transformation and soliton-cnoidal wave interaction solution to the combined KdV-negative-order KdV equation. Zbl 1417.35165
Cheng, Wenguang; Xu, Tianzhou
2019
Well-posedness and persistence property for a shallow water wave equation for waves of large amplitude. Zbl 1414.35201
Yang, Shaojie; Xu, Tianzhou
2019
The Cauchy problem for quaternion fuzzy fractional differential equations. Zbl 1357.34006
Yang, Zhan-Peng; Xu, Tian-Zhou; Qi, Min
2015
Hyers-Ulam stability of a class of fractional linear differential equations. Zbl 1347.26037
Wang, Chun; Xu, Tian-Zhou
2015
Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions. Zbl 1433.39012
Wang, Chun; Xu, Tian-Zhou
2014
A fixed point approach to the stability of an AQ-functional equation on $$\beta$$-Banach modules. Zbl 1276.39022
Xu, Tian Zhou; Rassias, John Michael
2012
Local-in-space blow-up and symmetric waves for a generalized two-component Camassa-Holm system. Zbl 1428.35473
Yang, Shaojie; Xu, Tianzhou
2019
Numerical algorithm for time-fractional Sawada-Kotera equation and Itô equation with Bernstein polynomials. Zbl 1427.65306
Wang, Jiao; Xu, Tianzhou; Wang, Gangwei
2018
Symmetry analysis, persistence properties and unique continuation for the cross-coupled Camassa-Holm system. Zbl 1375.35089
Yang, Shaojie; Xu, Tianzhou
2018
A reproducing kernel method for solving nonlocal fractional boundary value problems with uncertainty. Zbl 1384.34004
Qi, Min; Yang, Zhan-Peng; Xu, Tian-Zhou
2017
A fixed point approach to the stability of functional equations on noncommutative spaces. Zbl 06832332
Xu, Tian-Zhou; Yang, Zhan-Peng
2017
Hyers-Ulam stability of differential operators on reproducing kernel function spaces. Zbl 1344.47019
Wang, Chun; Xu, Tian-Zhou
2016
Ulam-Hyers stability for fractional differential equations in quaternionic analysis. Zbl 1375.35620
Yang, Zhan-Peng; Xu, Tian-Zhou; Qi, Min
2016
Solitary waves, shock waves and other solutions to Nizhniki-Novikov-Veselov equation. Zbl 1329.35254
Wang, G. W.; Xu, T. Z.; Zedan, H. A.; Abazari, R.; Triki, H.; Biswas, A.
2015
On fuzzy approximately cubic type mapping in fuzzy Banach spaces. Zbl 06679893
Xu, Tian Zhou
2014
Group analysis and new explicit solutions of simplified modified Kawahara equation with variable coefficients. Zbl 1304.35041
Wang, Gang-Wei; Xu, Tian-Zhou
2013
A fixed point approach to the stability of a general mixed additive-cubic equation on Banach modules. Zbl 1274.39070
Xu, Tianzhou; Rassias, John Michael; Xu, Wanxin
2012
Xu, T. Z.; Rassias, J. M.; Xu, W. X.
2011
Completely positive maps and Stinespring’s dilation theorem over $$\sigma$$-$$C^*$$-algebras. Zbl 1074.46510
Xu, Tianzhou; Zheng, Qinglin; Duan, Peichao; Li, Bingzhao
2004
Covariant completely positive maps. Zbl 1064.46055
Xu, Tianzhou
2003
Positive maps over $$\sigma$$-$$C^*$$-algebras. Zbl 0984.46036
Xu, Tianzhou
2001
Nonstable representable $$K$$-theory for $$\sigma$$-$$C^*$$-algebras. Zbl 0905.19004
Xu, Tianzhou
1997
Automatic continuity of derivations of Hilbert $$C^*$$-module. Zbl 0865.46033
Liu, Xu; Xu, Tianzhou
1995
$$N$$-th Bäcklund transformation and soliton-cnoidal wave interaction solution to the combined KdV-negative-order KdV equation. Zbl 1417.35165
Cheng, Wenguang; Xu, Tianzhou
2019
Well-posedness and persistence property for a shallow water wave equation for waves of large amplitude. Zbl 1414.35201
Yang, Shaojie; Xu, Tianzhou
2019
Local-in-space blow-up and symmetric waves for a generalized two-component Camassa-Holm system. Zbl 1428.35473
Yang, Shaojie; Xu, Tianzhou
2019
Numerical simulation for coupled systems of nonlinear fractional order integro-differential equations via wavelets method. Zbl 1426.65119
Wang, Jiao; Xu, Tian-Zhou; Wei, Yan-Qiao; Xie, Jia-Quan
2018
Numerical algorithm for time-fractional Sawada-Kotera equation and Itô equation with Bernstein polynomials. Zbl 1427.65306
Wang, Jiao; Xu, Tianzhou; Wang, Gangwei
2018
Symmetry analysis, persistence properties and unique continuation for the cross-coupled Camassa-Holm system. Zbl 1375.35089
Yang, Shaojie; Xu, Tianzhou
2018
A reproducing kernel method for solving nonlocal fractional boundary value problems with uncertainty. Zbl 1384.34004
Qi, Min; Yang, Zhan-Peng; Xu, Tian-Zhou
2017
A fixed point approach to the stability of functional equations on noncommutative spaces. Zbl 06832332
Xu, Tian-Zhou; Yang, Zhan-Peng
2017
Hyers-Ulam stability of differential operators on reproducing kernel function spaces. Zbl 1344.47019
Wang, Chun; Xu, Tian-Zhou
2016
Ulam-Hyers stability for fractional differential equations in quaternionic analysis. Zbl 1375.35620
Yang, Zhan-Peng; Xu, Tian-Zhou; Qi, Min
2016
Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives. Zbl 1363.34023
Wang, Chun; Xu, Tian-Zhou
2015
Invariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equation. Zbl 1419.35229
Wang, Gangwei; Xu, Tianzhou
2015
On the stability of multi-additive mappings in non-Archimedean normed spaces. Zbl 1321.39036
Xu, Tian Zhou; Wang, Chun; Rassias, Themistocles M.
2015
The Cauchy problem for quaternion fuzzy fractional differential equations. Zbl 1357.34006
Yang, Zhan-Peng; Xu, Tian-Zhou; Qi, Min
2015
Hyers-Ulam stability of a class of fractional linear differential equations. Zbl 1347.26037
Wang, Chun; Xu, Tian-Zhou
2015
Solitary waves, shock waves and other solutions to Nizhniki-Novikov-Veselov equation. Zbl 1329.35254
Wang, G. W.; Xu, T. Z.; Zedan, H. A.; Abazari, R.; Triki, H.; Biswas, A.
2015
Invariant analysis and exact solutions of nonlinear time fractional Sharma-Tasso-Olver equation by Lie group analysis. Zbl 1319.35291
Wang, Gang-Wei; Xu, Tian-Zhou
2014
Singular solitons, shock waves, and other solutions to potential KdV equation. Zbl 1306.35116
Wang, Gang-Wei; Xu, Tian-Zhou; Ebadi, Ghodrat; Johnson, Stephen; Strong, Andre J.; Biswas, Anjan
2014
New explicit solutions of the fifth-order KdV equation with variable coefficients. Zbl 1295.22028
Wang, Gang-Wei; Xu, Tian-Zhou; Liu, Xi-Qiang
2014
Direct and fixed point approaches to the stability of an AQ-functional equation in non-Archimedean normed spaces. Zbl 1297.39039
Xu, Tian Zhou; Yang, Zhanpeng; Rassias, John Michael
2014
Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions. Zbl 1433.39012
Wang, Chun; Xu, Tian-Zhou
2014
On fuzzy approximately cubic type mapping in fuzzy Banach spaces. Zbl 06679893
Xu, Tian Zhou
2014
Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation. Zbl 1293.22006
Wang, Gangwei; Xu, Tianzhou
2013
Approximation septic and octic mappings in quasi-$$\beta$$-normed spaces. Zbl 1279.39024
Xu, Tian Zhou; Rassias, John Michael
2013
Approximate multi-Jensen and multi-quadratic mappings in 2-Banach spaces. Zbl 1299.39023
Ciepliński, Krzysztof; Xu, Tian Zhou
2013
Approximate multi-Jensen, multi-Euler-Lagrange additive and quadratic mappings in $$n$$-Banach spaces. Zbl 07095206
Xu, Tian Zhou
2013
Group analysis and new explicit solutions of simplified modified Kawahara equation with variable coefficients. Zbl 1304.35041
Wang, Gang-Wei; Xu, Tian-Zhou
2013
On the stability of multi-Jensen mappings in $$\beta$$-normed spaces. Zbl 1253.39035
Xu, Tian Zhou
2012
A generalized mixed quadratic-quartic functional equation. Zbl 1248.39019
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2012
Stability of multi-Jensen mappings in non-Archimedean normed spaces. Zbl 1275.47135
Xu, Tian Zhou
2012
Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces. Zbl 1258.39016
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2012
On the Hyers-Ulam stability of a general mixed additive and cubic functional equation in $$n$$-Banach spaces. Zbl 1237.39036
Xu, Tian Zhou; Rassias, John Michael
2012
Spectral analysis of sampled signals in the linear canonical transform domain. Zbl 1264.94057
Li, Bing-Zhao; Xu, Tian-Zhou
2012
A fixed point approach to the intuitionistic fuzzy stability of quintic and sextic functional equations. Zbl 1260.39038
Xu, Tian Zhou; Rassias, Matina John; Xu, Wan Xin; Rassias, John Michael
2012
Parseval relationship of samples in the fractional Fourier transform domain. Zbl 1252.42045
Li, Bing-Zhao; Xu, Tian-Zhou
2012
A fixed point approach to the stability of an AQ-functional equation on $$\beta$$-Banach modules. Zbl 1276.39022
Xu, Tian Zhou; Rassias, John Michael
2012
A fixed point approach to the stability of a general mixed additive-cubic equation on Banach modules. Zbl 1274.39070
Xu, Tianzhou; Rassias, John Michael; Xu, Wanxin
2012
A generalized mixed additive-cubic functional equation. Zbl 1237.39020
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2011
Xu, T. Z.; Rassias, J. M.; Xu, W. X.
2011
Stability of a general mixed additive-cubic functional equation in non-Archimedean fuzzy normed spaces. Zbl 1309.30029
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2010
Intuitionistic fuzzy stability of a general mixed additive-cubic equation. Zbl 1311.46066
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2010
A fixed point approach to the stability of quintic and sextic functional equations in quasi-$$\beta$$-normed spaces. Zbl 1219.39020
Xu, Tian Zhou; Rassias, John Michael; Rassias, Matina John; Xu, Wan Xin
2010
A fixed point approach to the stability of a general mixed AQCQ-functional equation in non-Archimedean normed spaces. Zbl 1198.39041
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2010
Generalized Ulam-Hyers stability of a general mixed AQCQ-functional equation in multi-Banach spaces: a fixed point approach. Zbl 1213.39030
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2010
On the stability of a general mixed additive-cubic functional equation in random normed spaces. Zbl 1198.39040
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2010
The Poisson sum formulae associated with the fractional Fourier transform. Zbl 1161.94339
Li, Bing-Zhao; Tao, Ran; Xu, Tian-Zhou; Wang, Yue
2009
Particle image velocimetry measurements of the velocity profile in He II forced flow. Zbl 1182.76837
Xu, T.; Van Sciver, S. W.
2007
Completely positive maps and Stinespring’s dilation theorem over $$\sigma$$-$$C^*$$-algebras. Zbl 1074.46510
Xu, Tianzhou; Zheng, Qinglin; Duan, Peichao; Li, Bingzhao
2004
Covariant completely positive maps. Zbl 1064.46055
Xu, Tianzhou
2003
Robust estimator for correlated observations based on bifactor equivalent weights. Zbl 1158.86340
Yang, Y.; Song, L.; Xu, T.
2002
Positive maps over $$\sigma$$-$$C^*$$-algebras. Zbl 0984.46036
Xu, Tianzhou
2001
Nonstable representable $$K$$-theory for $$\sigma$$-$$C^*$$-algebras. Zbl 0905.19004
Xu, Tianzhou
1997
Automatic continuity of derivations of Hilbert $$C^*$$-module. Zbl 0865.46033
Liu, Xu; Xu, Tianzhou
1995
Application of the combined boundary element and finite element method to slab and slab-on-girder bridges. Zbl 0925.73873
Ng, S. F.; Cheung, M. S.; Xu, T.
1990
all top 5