Dr. Xiao-Bao Shu

Professor
Hunan University, China

Highest Degree
Ph.D. in Mathematics from Sun Yat-sen University, China

My URL
https://livedna.org/86.10396

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Biography

Dr. Xiao-Bao Shu is currently working as Professor of Mathematics at Department of Mathematics, Hunan University, Changsha P. R. China. Dr Xiao received PhD degree from Sun Yat-sen University, P. R. China. Dr Xiao area of expertise includes, Functional Differential Equations, Dynamical Systems, Fractional Differential Equation, Chaos, Partial Differential Equations, Bifurcation Theory, and Biomathematics. Dr Xiao has published 36 articles in journals.

Area of Interest:

Mathematics
Applied Mathematics
Functional Differential Equations
Partial Differential Equations
Dynamical Systems

Selected Publications

  1. Wang, S., X.B. Shu and L. Shu, 2022. Existence of solutions to a class of damped random impulsive differential equations under Dirichlet boundary value conditions. AIMS Math., 7: 7685-7705.
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  2. Wang, L., X.B. Shu, Y. Cheng and R. Cui, 2021. Existence of periodic solutions of second-order nonlinear random impulsive differential equations via topological degree theory. Results Appl. Math., Vol. 12. 10.1016/j.rinam.2021.100215.
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  3. Shu, L., X.B. Shu, Q. Zhu and F. Xu, 2021. Existence and exponential stability of mild solutions for second-order neutral stochastic functional differential equation with random impulses. J. Appl. Anal. Comput., 11: 59-80.
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  4. Li, Z., X.B. Shu and T. Miao, 2021. The existence of solutions for Sturm-Liouville differential equation with random impulses and boundary value problems. Bound Value Probl., 10.1186/s13661-021-01574-x.
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  5. Liao, Y., Y. Zhou, F. Xu and X.B. Shu, 2020. A study on the complexity of a new chaotic financial system. Complexity, Vol. 2020. 10.1155/2020/8821156.
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  6. Xu, F., R. Cressman, X.B. Shu and X. Liu, 2015. A series of new chaotic attractors via switched linear integer order and fractional order differential equations. Int. J. Bifurcation Chaos, Vol. 25. 10.1142/S021812741550008X.
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  7. Shu, X.B. and F. Xu, 2014. Upper and lower solution method for fractional evolution equations with order 1< α< 2. J. Korean Math. Soc., 51: 1123-1139.
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  8. Shu, X.B. and B.X. Dai, 2014. S-asymptotically ω-periodic solutions of semi-linear neutral fractional differential equations. Acta Math. Sci. Ser. A Chin. Ed., 34: 16-26.

  9. Xu, F., X.B. Shu and R. Cressman, 2013. Chaos control and chaos synchronization of fractional order smooth Chua's system. Dyn. Continuous Discrete Impulsive Syst. Ser. B: Appl. Algorithm, 20: 117-133.

  10. Shu, X.B., Y. Lai and F. Xu, 2013. Existence of infinitely many periodic subharmonic solutions for nonlinear non-autonomous neutral differential equations. Electron. J. Differ. Equ., 2013: 1-21.

  11. Shu, X.B. and F. Xu, 2013. The existence of solutions for impulsive fractional partial neutral differential equations. J. Math., Vol. 2013. 10.1155/2013/147193.
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  12. Shu, X.B., Y. Lai and F. Xu, 2012. Existence of subharmonic periodic solutions to a class of second-order non-autonomous neutral functional differential equations. Abstr. Appl. Anal., Vol. 2012. 10.1155/2012/404928.
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  13. Shu, X.B., Y. Lai and F. Xu, 2012. Existence and uniqueness of mild solution for abstract fractional functional differential equations. Dyn. Continuous Discrete Impulsive Syst. Ser. A: Math. Anal., 19: 371-382.

  14. Shu, X.B. and Q. Wang, 2012. The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order 1< α< 2. Comput.Math. Appl., 64: 2100-2110.
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  15. Shu, X.B., Y. Lai and Y. Chen, 2011. The existence of mild solutions for impulsive fractional partial differential equations. Nonlinear Anal. Theory Methods Applic., 74: 2003-2011.
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  16. Zhu, Q.X., H.C. Wang and X.B. Shu, 2010. Strong n (n=-1, 0)-discount optimality for continuous-time jump markov decision processes. Southeast Asian Bull. Math., 34: 563-578.
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  17. Shu, X.B., 2009. Infinite periodic and subharmonic solutions to a class of second-order nonlinear non-autonomous neutral functional differential equations. Int. J. Dyn. Syst. Differ. Equ., 2: 291-300.
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  18. Shu, X.B., Y.T. Xu and L. Huang, 2008. Infinite periodic solutions to a class of second-order Sturm-Liouville neutral differential equations. Nonlinear Anal. Theory Methods Applic., 68: 905-911.
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  19. Shu, X.B., L.H. Huang, Y.T. Xu, 2008. An estimate for the number of multiple periodic solutions to a class of neutral differential equations. Acta Math. Appl. Sin., 31: 35-43.

  20. Shu, X.B., 2008. Infinitely many solutions of boundary value problems for a class of second-order ordinary differential equations. J. Syst. Sci. Math. Sci., 28: 91-98.

  21. Shu, X.B. and M. Wang, 2008. Infinite subharmonic periodic solutions to a class of second-order neutral differential equations. Math. Applic., 21: 542-547.
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  22. Zhu, Q.X. and X.B. Shu, 2006. Characteristic numbers and their probability meaning for two kinds of birth and death processes. Appl. Math. J. Chin. Univ. Ser. A, 21: 311-320.

  23. Xiaobao, S. and X. Yuantong, 2006. Existence of solutions for a class of state-dependent neutral differential equations. J. Math. Res. Exposition, 26: 576-582.

  24. Shu, X.B., Y.T. Xu and Y.J. Li, 2006. A minimal estimate for number of multiple solutions for a class of second-order ordinary differential equations. Acta Math. Appl. Sin., 29: 1004-1016.

  25. Shu, X.B., H. Li-Hong and Y.J. Li, 2006. Triple positive solutions for a class of boundary value problems for second-order neutral functional differential equations. Nonlinear Anal. Theory Methods Appl., 65: 825-840.
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  26. Shu, X.B. and Y.T. Xu, 2006. Multiple periodic solutions to a class of second-order functional differential equations of mixed type. Acta Math. Appl. Sin., 29: 821-831.

  27. Shu, X.B. and Y.T. Xu, 2006. Multiple periodic solutions for a class of second-order nonlinear neutral delay equations. Abstr. Appl. Anal., Vol. 2006. 10.1155/AAA/2006/10252.
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  28. Shu, X.B. and Q.X. Zhu, 2006. Multiple solutions of boundary value problems for a class of second-order ordinary differential equations. Math. Applic., 19: 120-126.
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  29. Li, Y., X.B. Shu and Y. Xu, 2006. Multiple solutions of boundary value problem. Tamkang J. Math., 37: 149-154.

  30. Xiaobao, S. and X. Yuantong, 2005. Infinite periodic solutions to a class of second-order neutral differential equations. Ann. Differ. Equ., 21: 397-402.

  31. Shu, X.B. and Y.T. Xu, 2005. Triple positive solutions for a class of boundary value problems of second-order functional differential equations. Acta Math. Sin. Chin. Ed., 48: 1113-1120.

  32. Shu, X.B. and Y.T. Xu, 2005. Triple positive solutions for a class of boundary value problem of second-order functional differential equations. Nonlinear Anal., 61: 1401-1411.

  33. Shu, X.B. and Y.T. Xu, 2005. Multiple periodic solutions to a class of second-order nonlinear mixed-type functional differential equations. Int. J. Math. Math. Sci., 2005: 2689-2702.
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  34. Shu, X.B. and Q.X. Zhu, 2005. Three solutions of a class of boundary value problems for second-order ordinary differential equations. Acta Sci. Nat. Univ. Sunyatseni, 44: 5-7.

  35. Li, Y., X.B. Shu and Y. Xu, 2005. Multiple solutions to nonlinear boundary value problems. Far East J. Appl. Math., 18: 113-120.

  36. Shu, X.B., 2004. Periodic solutions for neutral higher dimensional periodic differential systems. Funct. Differ. Equ., 11: 511-526.
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  37. Shu, X.B. and Y.T. Xu, 2004. Existence of multiple solutions for a class of second-order ordinary differential equations. Electron. J. Differ. Equ., 2004: 1-14.
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  38. Li, Y., X. Shu and Y. Xu, 2004. A minimal estimate for number of multiple solutions for a class of second-order ordinary differential equations. Funct. Differ. Equ., 13: 511-518.

  39. Yongjin, L. and S. Xiaobao, 2003. The convergence of Ishikawa iterative sequence with errors for K-subaccretive operators in Banach spaces. Far East J. Math. Sci., 10: 75-86.

  40. Shu, X. and Y. Li, 2003. Ishikawa iterative process for constructing solutions of k-subaccretive operator equations. Far East J. Math. Sci., 11: 215-228.

  41. Li, Y.J. and X.B. Shu, 2002. K-weak convexity and K-weak smoothness. Acta Sci. Nat. Univ. Sunyatseni, 41: 8-10.
Member since July, 2015