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湖南大学数学学院导师教师师资介绍简介-舒小保
本站小编 Free考研考试/2021-08-18
学历:中山大学数学与计算科学,博士;
职称:湖南大学博士生导师, 副教授
一、发表的论文情况:
在国际国内核心期刊发表高质量论文30多篇,其中含全球数学领域ESI排名前0.1%的热点论文1篇,全球数学领域ESI排名前1%的高被引论文2篇
1. Shu, Xiao-Bao; Shi, Yajing A study on the mild solution of impulsive fractional evolution equations. Appl. Math. Comput. 273 (2016), 465–476.
2. Shu, Xiao-Bao; Xu, Fei; Shi, Yajing S-asymptotically ω-positive periodic solutions for a class of neutral fractional differential equations. Appl. Math. Comput. 270 (2015), 768–776.
3. Wang, Xiancun; Shu, Xiaobao The existence of positive mild solutions for fractional differential evolution equations with nonlocal conditions of order 1<α<2. Adv. Difference Equ. 2015, 2015:159, 15 pp.
4. Xu, Fei; Cressman, Ross; Shu, Xiao-Bao; Liu, Xinzhi A series of new chaotic attractors via switched linear integer order and fractional order differential equations. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 25 (2015), no. 1, **, 12 pp.
5. Shu, Xiao-Bao; Xu, Fei Upper and lower solution method for fractional evolution equations with order 1<α<2. J. Korean Math. Soc. 51 (2014), no. 6, 1123–1139.
6. Shu, Xiao Bao; Dai, Bin Xiang S-asymptotically ω-periodic solutions of semi-linear neutral fractional differential equations. (Chinese) Acta Math. Sci. Ser. A Chin. Ed. 34 (2014), no. 1, 16–26.
7 Shu, Xiao-Bao; Xu, Fei The existence of solutions for impulsive fractional partial neutral differential equations. J. Math. 2013, Art. ID 147193, 9 pp.
8 Shu, Xiao-Bao; Lai, Yongzeng; Xu, Fei Existence of infinitely many periodic subharmonic solutions for nonlinear non-autonomous neutral differential equations. Electron. J. Differential Equations 2013, No. 150, 21 pp.
9 Xu, Fei; Shu, Xiao-Bao; Cressman, Ross Chaos control and chaos synchronization of fractional order smooth Chua's system. Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 20 (2013), no. 1, 117–133.
10. Shu, Xiao-Bao; Wang, Qianqian The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order 1<α<2. Comput. Math. Appl. 64 (2012), no. 6, 2100–2110.
11. Shu, Xiao-Bao; Lai, Yongzeng; Xu, Fei Existence and uniqueness of mild solution for abstract fractional functional differential equations. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 19 (2012), no. 3, 371–382.
12. Shu, Xiao-Bao; Lai, Yongzeng; Xu, Fei Existence of subharmonic periodic solutions to a class of second-order non-autonomous neutral functional differential equations. Abstr. Appl. Anal. 2012, Art. ID 404928, 26 pp.
13.Shu, Xiao-Bao; Lai, Yongzeng; Chen, Yuming The existence of mild solutions for impulsive fractional partial differential equations. Nonlinear Anal. 74 (2011), no. 5, 2003–2011.
14. Zhu, Q. X.; Wang, H. C.; Shu, X. B. Strong n(n=?1,0)-discount optimality for continuous-time jump Markov decision processes. Southeast Asian Bull. Math. 34 (2010), no. 3, 563–578.
15. Shu, Xiao-Bao 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 (2009), no. 3-4, 291–300.
16. Shu, Xiao Bao; Huang, Li Hong; Xu, Yuan Tong An estimate for the number of multiple periodic solutions to a class of neutral differential equations. (Chinese) Acta Math. Appl. Sin. 31 (2008), no. 1, 35–43.
17. Shu, Xiao Bao; Wang, Mi Infinite subharmonic periodic solutions to a class of second-order neutral differential equations. (Chinese) Math. Appl. (Wuhan) 21 (2008), no. 3, 542–547.
18.Shu, Xiao Bao Infinitely many solutions of boundary value problems for a class of second-order ordinary differential equations. (Chinese) J. Systems Sci. Math. Sci. 28 (2008), no. 1, 91–98.
19.Shu, Xiao-Bao; Xu, Yuan-Tong; Huang, Lihong Infinite periodic solutions to a class of second-order Sturm-Liouville neutral differential equations. Nonlinear Anal. 68 (2008), no. 4, 905–911.
20. Li, Yongjin; Shu, Xiaobao; Xu, Yuantong A minimal estimate for number of multiple solutions for a class of second-order ordinary differential equations. Funct. Differ. Equ. 13 (2006), no. 3-4, 511–518.
21. Shu, Xiao Bao; Xu, Yuan Tong; Li, Yong Jin A minimal estimate for number of multiple solutions for a class of second-order ordinary differential equations. (Chinese) Acta Math. Appl. Sin. 29 (2006), no. 6, 1004–1016.
22. Shu, Xiao Bao; Xu, Yuan Tong Multiple periodic solutions to a class of second-order functional differential equations of mixed type. (Chinese) Acta Math. Appl. Sin. 29 (2006), no. 5, 821–831.
23. Zhu, Quan Xin; Shu, Xiao Bao Characteristic numbers and their probability meaning for two kinds of birth and death processes. (Chinese) Appl. Math. J. Chinese Univ. Ser. A 21 (2006), no. 3, 311–320.
24. Shu, Xiao Bao; Xu, Yuan Tong Existence of solutions for a class of state-dependent neutral differential equations. (Chinese) J. Math. Res. Exposition 26 (2006), no. 3, 576–582.
25. Li, Yongjin; Shu, Xiaobao; Xu, Yuantong Multiple solutions of boundary value problem. Tamkang J. Math. 37 (2006), no. 2, 149–154.
26. Shu, Xiao-Bao; Li-Hong, Huang; Li, Yong-Jin Triple positive solutions for a class of boundary value problems for second-order neutral functional differential equations. Nonlinear Anal. 65 (2006), no. 4, 825–840.
27. Shu, Xiao-Bao; Xu, Yuan-Tong Multiple periodic solutions for a class of second-order nonlinear neutral delay equations. Abstr. Appl. Anal. 2006, Art. ID 10252, 9 pp.
28. Shu, Xiao Bao; Zhu, Quan Xin Multiple solutions of boundary value problems for a class of second-order ordinary differential equations. (Chinese) Math. Appl. (Wuhan) 19 (2006), no. 1, 120–126.
29. Shu, Xiao Bao; Xu, Yuan Tong Triple positive solutions for a class of boundary value problems for second-order functional differential equations. (Chinese) Acta Math. Sinica (Chin. Ser.) 48 (2005), no. 6, 1113–1120.
30. Shu, Xiao Bao; Zhu, Quan Xin Three solutions of a class of boundary value problems for second-order ordinary differential equations. (Chinese) Acta Sci. Natur. Univ. Sunyatseni 44 (2005), no. 6, 5–7.
31.Shu, Xiao-Bao; Xu, Yuan-Tong Multiple periodic solutions to a class of second-order nonlinear mixed-type functional differential equations. Int. J. Math. Math. Sci. 2005, no. 17, 2689–2702.
32. Shu, Xiaobao; Xu, Yuantong Infinite periodic solutions to a class of second-order neutral differential equations. Ann. Differential Equations 21 (2005), no. 3, 397–402.
33. Li, Yongjin; Shu, Xiaobao; Xu, Yuantong Multiple solutions to nonlinear boundary value problems. Far East J. Appl. Math. 18 (2005), no. 1, 113–120.
34.Shu, Xiao-Bao; Xu, Yuan-Tong Triple positive solutions for a class of boundary value problem of second-order functional differential equations. Nonlinear Anal. 61 (2005), no. 8, 1401–1411.
二、科研项目
1、不变群指标和泛函微分系统的多重周期解,教育部博士点新教师基金,主持;
2、分数阶发展方程定性理论研究,湖南省自然科学基金,主持;
3、不变群指标和不动点理论在泛函微分系统的应用,湖南省科技厅项目,主持;
4、基于弱拓扑条件下的脉冲Riemann-Liouville分数阶微分方程解的动力行为研究,湖南省教育厅创新平台项目,主持;
5、作为主要成员,参与国家自然科学基金(第二完成人)三项,参与其他部厅级项目多项。
三、教学课程
任教的本科课程有:
数学分析、高等数学(A)、高等数学(B)、线性代数(A)、常微分方程、概率统计、微分几何、随机过程。
任教的研究生课程有:
微分流形、非线性泛函分析、度理论在微分方程中的应用、李群在微分方程中的应用、无穷维动力系统、泛函微分方程。
四、获奖情况
1、湖南大学优秀教师,2014年;
2、湖南大学教学标兵,2016年;
3、湖南省自然科学一等奖(排名第四),2017年。
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