许天周 - 北京理工大学 - 数学与统计学院

个人简介

Educational Background 09/1993--06/1996(Ph.D.), Dept. of Math., Nanjing University, Nanjing 09/1981--06/1988( B.Sc., M.Sc.), Dept. of Math., Shaanxi Normal University, Xian Working Experience 07/1996--present, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 07/1988--08/1993, Journal Editorial Department, Qinghai Normal University, Xining

研究领域

Research Projects 　· 01/2012--12/2015 National Natural Science Foundation of China (Grant No. 11171022). 　· 01/2006--12/2009 National Natural Science Foundation of China (Grant No. 10671013).

近期论文

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Publications [82] Shaojie Yang, Tian-Zhou Xu, Well-posedness and persistence property for a shallow water wave equation for waves of large Amplitude, Applicable Analysis, 2018, https://doi.org/ 10.1080/00036811.2017.1408079 [81] Jiao Wang, Tian-Zhou Xu, Yan-Qiao Wei, Jia-Quan Xie, Numerical simulation for coupled systems of nonlinear fractional order integro-differential equations via wavelets method, Applied Mathematics and Computation, 324(2018), 36-50. [80] Shaojie Yang, Tian-Zhou Xu, Symmetry, persistence properties and unique continuation for the cross-coupled Camassa-Holm system, Discrete and Continuous Dynamical Systems-Series A, 38(1)(2018), 329-341. [79] Shaojie Yang, Tian-Zhou Xu, Blow-up phenomena and persistence properties for an integrable two-component peakon system, Journal of Differential Equations, 263(9)(2017), 5787-5812. [78] Shaojie Yang, Tian-Zhou Xu, Steady bifurcation and solitary waves of modified equal width equation, Eur. Phys. J. Plus, 132(2017): 369. DOI 10.1140/ epjp/i2017-11567-8 [77] Shaojie Yang, Tian-Zhou Xu, Steady bifurcation and solitary waves of the perturbed PHI-four equation, Nonlinear Dynamics, 89(2017), 2227-2232. [76] Hui Gao, Tian-Zhou Xu, Shaojie Yang, Gangwei Wang, Analytical study of solitons for the variant Boussinesq equations, Nonlinear Dynamics, 88(2017) , 1139-1146. [75] Hui Gao, Tian-Zhou Xu, Tianyou Fan and Gangwei Wang, Analytic study of solutions for the Born-Infeld equation in nonlinear electrodynamics, Eur. Phys. J. Plus, 132(2017): 139. DOI 10.1140/epjp/i2017-11419-7 [74] Shaojie Yang, Tian-Zhou Xu, 1-Soliton and peaked solitary wave solutions of nonlinear longitudinal wave equation in magneto-electro-elastic circular rod, Nonlinear Dynamics, 87(2017), 2735-2739. [73] Chun Wang, Tian-Zhou Xu, Solution and Hyers-Ulam-Rassias stability of a mixed type quadratic-additive functional equation with a parameter in quasi-Banach spaces, Acta Math. Sci., 37A (5) (2017), 846-859. [72] Chun Wang, Tian-Zhou Xu, Stability of the nonlinear fractional differential equations with the right-sided Riemann-Liouville fractional derivative, Discrete and Continuous Dynamical Systems-Series S, 10(3)(2017), 505-521. [71] Tian-Zhou Xu, Yali Ding, John Michael Rassias, A fixed point approach to the stability of nonic functional equation in non-Archimedean spaces, Journal of Computational Analysis and Applications, 22(2017), 359-368. [70] Zhan-Peng Yang, Tian-Zhou Xu, A fixed point approach to the stability of functional equation on noncommutative spaces, Results in Mathematics, 72(4)(2017),1639-1651. [69] Min Qi, Zhan-Peng Yang, Tian-Zhou Xu, A reproducing kernel method for solving nonlocal fractional boundary value problems with uncertainty, Soft Computing, 21(14)(2017), 4019-4028. [68] Hui Gao, Tian-Zhou Xu, Shaojie Yang, Gangwei Wang, Exact solutions of a nonlocal nonlinear Schrödinger equation, Optoelectronics and Advanced Materials-Rapid Communications, 9-10 (2016), 651-657. [67] Chun Wang, Tian-Zhou Xu, Hyers–Ulam stability of differential operators on reproducing kernel function spaces, Complex Analysis and Operator Theory, 10 (2016), 795-813. [66] Zhan-Peng Yang, Tian-Zhou Xu, Min Qi, Ulam-Hyers stability for fractional differential equations in quaternionic analysis, Advances in Applied Clifford Algebras, 26 (2016), 469-478. [65] Zhan-Peng Yang, Tian-Zhou Xu, Min Qi, The Cauchy problem for quaternion fuzzy fractional differential equations, Journal of Intelligent & Fuzzy Systems 29 (2015), 451-461. [64] Chun Wang, Tian-Zhou Xu, Hyers-Ulam stability of a class of fractional linear differential equations, Kodai Mathematical Journal, 38(2015), 510-520. [63] Gang-Wei Wang, Tian-Zhou Xu, H.A. Zedan, R. Abazari, H. Triki, A. Biswas, Solitary waves, shock waves and other solutions to Nizhniki-Novikov-Veselov equation, Applied and Computational Mathematics an International Journal, 14(2015), 260-283. [62] Gang-Wei Wang, Tian-Zhou Xu, Invariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equation, Nonlinear Analysis: Modeling and Control, 20(2015), 570–584. [61] Zhan-Peng Yang, Tian-Zhou Xu, On new existence results for fractional differential equations in quaternionic analysis, Advances in Applied Clifford Algebras, 25(2015), 733-740. [60] Chun Wang, Tian-Zhou Xu, Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives, Applications of Mathematics, 60(2015), 383-393. [59] Gang-Wei Wang, Tian-Zhou Xu, Group analysis, explicit solutions and conservation laws of the Logarithmic-KdV equation, Journal of the Korean Physical Society, 66(2015), 1475-1481. [58] Gang-Wei Wang, Tian-Zhou Xu, Optical soliton of time fractional Schrödinger equations with He’s semi-inverse method, Laser Physics, 25(2015), 055402, 1-8. [57] Tian-Zhou Xu, Chun Wang, Themistocles M. Rassias, On the stability of multi-additive mappings in non-Archimedean normed spaces, Journal of Computational Analysis and Applications, 18(2015), 1102-1110. [56] Gang-Wei Wang, Tian-Zhou Xu, R. Abazari, Z. Jovanoski and A. Biswas, Shock waves and other solutions to the Benjamin-Bona-Mahoney-Burgers equation with dual Power-Law nonlinearity, Acta Physica Polonica A, 126(2014), 1221-1225. [55] Tian-Zhou Xu, On fuzzy approximately cubic type mapping in fuzzy Banach spaces, Information Sciences, 278(2014), 56-66. [54] Chun Wang, Tian-Zhou Xu, Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions, Journal of Function Spaces, 2014(2014), 398673, 1-6. [53] Gang-Wei Wang, Tian-Zhou Xu, The modified fractional sub-equation method and its applications to nonlinear fractional partial differential equations, Romanian Journal of Physics, 59(2014), 636–645. [52] Gang-Wei Wang, Tian-Zhou Xu, The improved fractional sub-equation method and its applications to nonlinear fractional partial differential equations, Romanian Reports in Physics, 66(2014), 595–602. [51] Gang-Wei Wang, Tian-Zhou Xu, Xi-Qiang Liu, New explicit solutions of the fifth-order KdV equation with variable coefficients, Bulletin of the Malaysian Mathematical Sciences Society, 37(2014), 769–778. [50] Gang-Wei Wang, Tian-Zhou Xu, Anjan Biswas, Topological solitons and conservation laws of the coupled Burgers equations, Romanian Reports in Physics, 66(2014), 274-285. [49] Gang-Wei Wang, Tian-Zhou Xu, Invariant analysis and exact solutions of nonlinear time fractional Sharma-Tasso-Olver equation by Lie group analysis, Nonlinear Dynamics, 76(2014), 571-580. [48] Gang-Wei Wang, Tian-Zhou Xu, Ghodrat Ebadi, Stephen Johnson, Andre J. Strong, Anjan Biswas, Singular solitons, shock waves, and other solutions to potential KdV equation, Nonlinear Dynamics, 76(2014), 1059-1068. [47] Gang-Wei Wang, Tian-Zhou Xu, Tao Feng, Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation, PLOS ONE, 9(2)(2014): e88336, 1-6. [46] Tian-Zhou Xu, Zhan-Peng Yang, John Michael Rassias, Direct and fixed point approaches to the stability of an AQ-functional equation in non-Archimedean normed spaces, Journal of Computational Analysis and Applications, 17(2014), 697-706. [45] Gang-Wei Wang, Tian-Zhou Xu, Stephen Johnson, Anjan Biswas, Solitons and Lie group analysis to an extended quantum Zakharov-Kuznetsov equation, Astrophysics and Space Science, 349(2014), 317-327. [44] Shuai-Shuai Fan, Bing-Zhao Li, Tian-Zhou Xu, A two-channel perfect reconstruction filter bank associated with the linear canonical transform, International Journal of Electronics Letters, 2(2014), 72-82. [43] Gang-Wei Wang, Tian-Zhou Xu, Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation, Boundary Value Problems, 2013(2013), 232, 1-13. [42] Gang-Wei Wang, Tian-Zhou Xu, Group analysis and new explicit solutions of simplified modified Kawahara equation with variable coefficients, Abstract and Applied Analysis, 2013(2013), 139160, 1-8. [41] Tian-Zhou Xu, Approximate multi-Jensen, multi-Euler-Lagrange additive and quadratic mappings in n-Banach spaces, Abstract and Applied Analysis, 2013(2013), 648709, 1-12. [40] Tian-Zhou Xu, On the Mazur-Ulam theorem in non-Archimedean fuzzy n-normed spaces, ISRN Mathematical Analysis, 2013(2013), 814067, 1-7. [39] Krzysztof Cieplinski, Tian-Zhou Xu, Approximate multi-Jensen and multi-quadratic mappings in 2-Banach spaces, Carpathian Journal of Mathematics, 29(2013), 159–166. [38] Tian-Zhou Xu, John Michael Rassias, Approximate septic and octic mappings in quasi-β-normed spaces, Journal of Computational Analysis and Applications, 15(2013), 1110-1119. [37] Tian-Zhou Xu, Matina John Rassias, Wanxin Xu, and John Michael Rassias, A fixed point approach to the intuitionistic fuzzy stability of quintic and sextic functional equations, Iranian Journal of Fuzzy Systems, 9(2012), 21-40. [36] Tian-Zhou Xu, On the stability of multi-Jensen mappings in β-normed spaces, Applied Mathematics Letters, 25(11) (2012), 1866-1870. [35] Tian-Zhou Xu, Stability of multi-Jensen mappings in non-Archimedean normed spaces, Journal of Mathematical Physics, 53(2012), 023507, 1-9. [34] Tian-Zhou Xu, John Michael Rassias, A fixed point approach to the Hyers-Ulam stability of an AQ functional equation on β-Banach modules, Journal of Inequalities and Applications, 2012(2012), 204, 1-18. [33] Tian-Zhou Xu, John Michael Rassias, On the Hyers-Ulam stability of a general mixed additive and cubic functional equation in n-Banach spaces, Abstract and Applied Analysis, 2012(2012), 926390, 1-23. [32] Tian-Zhou Xu, John Michael Rassias, A fixed point approach to the stability of an AQ-functional equation on β-Banach modules, Fixed Point Theory and Applications, 2012(2012), 32, 1-14. [31] Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces, Acta Mathematica Sinica-English Series, 28(2012), 529–560. [30] Tian-Zhou Xu, John Michael Rassias, Stability of general multi-Euler-Lagrange quadratic functional equations in non-Archimedean fuzzy normed spaces, Advances in Difference Equations, 2012(2012), 119, 1-19. [29] Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, Stability of a general mixed additive-cubic equation in F-spaces, Journal of Computational Analysis and Applications, 14(2012), 1026-1037. [28] Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, A generalized mixed quadratic-quartic functional equation, Bulletin of the Malaysian Mathematical Sciences Society, 35(2012), 633–649. [27] Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, A fixed point approach to the stability of a general mixed additive-cubic equation on Banach modules, Acta Mathematica Scientia, 32B(3)(2012), 866-892. [26] Cui-Ping Li, Bing-Zhao Li, Tian-Zhou Xu, Approximating bandlimited signals associated with the LCT domain from nonuniform samples at unknown locations, Signal Processing, 92(7)(2012), 1658-1664. [25] Tian-Wen Che, Bing-Zhao Li, Tian-Zhou Xu, The ambiguity function associated with the linear canonical transform, EURASIP Journal on Advances in Signal Processing, 2012(2012), 138, 1-14. [24] Bing-Zhao Li, Tian-Zhou Xu, Spectral analysis of sampled signals in the linear canonical transform domain, Mathematical Problems in Engineering, 2012(2012), 536464, 1-19. [23] Bing-Zhao Li, Tian-Zhou Xu, Sampling in the linear canonical transform domain, Mathematical Problems in Engineering, 2012(2012), 504580, 1-13. [22] Bing-Zhao Li, Tian-Zhou Xu, Parseval relationship of Samples in the fractional Fourier transform domain, Journal of Applied Mathematics, 2012(2012), 428142, 1-11. [21] Tian-Zhou Xu, Completely dissipative maps and Stinespring's dilation-type theorem on σ-C*-algebras, Abstract and Applied Analysis, 2011(2011), 702989, 1-13. [20] Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, A generalized mixed type of quartic-cubic-quadratic-additive functional equations, Ukrainian Mathematical Journal, 63(2011), 461-479. [19] Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, A generalized mixed additive-cubic functional equation, Journal of Computational Analysis and Applications, 13(2011), 1273-1282. [18] Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, A fixed point approach to the stability of a general mixed additive-cubic functional equation in quasi fuzzy normed spaces, International Journal of the Physical Sciences, 6(2)(2011), 313-324. [17] Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, Stability of a general mixed additive-cubic functional equation in non-Archimedean fuzzy normed spaces, Journal of Mathematical Physics, 51(2010), 093508, 1-19. [16] Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, Intuitionistic fuzzy stability of a general mixed additive-cubic equation, Journal of Mathematical Physics, 51(2010), 06351, 1-21. [15] Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, On the stability of a general mixed additive-cubic functional equation in random normed spaces, Journal of Inequalities and Applications, 2010(2010), 328473, 1-16. [14] Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, A fixed point approach to the stability of a general mixed AQCQ-functional equation in non-Archimedean normed spaces, Discrete Dynamics in Nature and Society, 2010 (2010), 812545, 1-24. [13] Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, Generalized Ulam-Hyers stability of a general mixed AQCQ-functional equation in multi-Banach spaces: a fixed point approach, Eurpean Journal of Pure and Applied Mathematics, 3(6)(2010), 1032-1047. [12] Tian-Zhou Xu, John Michael Rassias, Matina John Rassias, Wanxin Xu, A fixed point approach to the stability of quintic and sextic functional equations in quasi-β-normed spaces, Journal of Inequalities and Applications, 2010(2010), 423231, 1-23. [11] Bing-Zhao Li, Ran Tao, Tian-Zhou Xu, Yue Wang, The Poisson sum formulae associated with the fractional Fourier transform, Signal Processing, 89(2009), 851-856. [10] Tian-Zhou Xu, Covariant projective representation for covariant completely multi-positive linear maps, Acta Mathematica Sinica Chinese Series, 51(2) (2008), 357-364. [9] Tian-Zhou Xu, Qinglin Zheng, Peichao Duan, Bing-Zhao Li, Completely positive maps and Stinespring's dilation theorem over σ-C*-algebras, Journal of System Science and Mathematical Science Chinese Series, 24(2004), 169-178. [8] Tian-Zhou Xu, Covariant completely positive maps, Indian Journal of Pure and Applied Mathematics, 34(2003), 1131-1140. [7] Tian-Zhou Xu, Peichao Duan, Qinglin Zheng, Completely positive definite maps on σ-C*-algebras, Advances in Mathematics (China), 32(2003), 241-242. [6] Tian-Zhou Xu, Bing-Zhao Li, Yugeng Zhao, Amenability and nuclearity for Pro-C*-algebras, Advances in Mathematics (China), 32(3) (2003), 334-340. [5] Tian-Zhou Xu, Jie Liang, Covariant projective extensions, Advances in Mathematics (China), 32(4) (2003), 506-508. [4] Tian-Zhou Xu, Positive maps over σ-C*-algebras, Journal of System Science and Mathematical Science Chinese Series, 21(2001), 1-8. [3] Tian-Zhou Xu, The weak topology for SG-primitive ideals, Publicationes Math. Debrecen, 52(1998), 103-119. [2] Tian-Zhou Xu, Modules over operator algebras and its module maps, Indian Journal of Pure and Applied Mathematics, 28(1997), 877-886. [1] Tian-Zhou Xu, Nonstable representable K-theory for σ-C*-algebras, Publicationes Math. Debrecen, 51(1997), 225-240. Books [1] Tian-Zhou Xu, Bing-Zhao Li, Linear Canonical Transform and Its Applications (in Chinese), Science Press, Beijing, 2013. [2] Tian-Zhou Xu, Bing-Zhao Li, Foundation of Modern Mathematics (in Chinese), Beijing Institute of Technology Press, Beijing, 2009. [3] Tian Zhou Xu, Applied Functional Analysis (in Chinese), Science Press, Beijing, 2002.