天津大学博士、硕士研究生指导教师信息表

 

李德生 教授,理学院数学专业
 
通讯地址 : 天津市南开区卫津路 92 邮  编 :300072
E-mail :
办公室电话 :
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研究方向一:

非线性微分方程

研究方向二:

动力系统, 随机动力系统

研究方向三:

控制系统的稳定性分析

毕业硕士生数:

毕业博士生数:
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学习与工作简历:

1998年6毕业于兰州大学数学系并获理学博士学位, 同年9月进入北京师范大学数学所做博士后研究。 2000年6月调入烟台大学数学与信息科学系,历任副教授、教授。2004年12月调入天津大学理学院数学系,教授。美国数学会《Math Review》、德国数学会《Zentralblatt Math》 评论员。

讲授主要课程:

参加学术团体、任何职务:

 
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代表性论文、论著:

1. 李德生、李清仪, Cahn-Hilliard 方程动力学稳定性,数学学报,2000,(1):127-134.
2. 李德生、王宗信、王志林, 一类非经典扩散方程整体解的存在唯一性及长时间行为, 应用 数学学报, 1998, (2): 267- 276.
3.Li Desheng and Zhong Chengkui, Global attractor for the Cahn-Hilliard system with fast growing nonlinearity, J. Differential Equations, 1998, 149 (2): 191-210. (SCI)
4. Li Desheng and Zhang Xiaoxian, Strongly positively invariant attractors for periodic processes, J. Math.. Anal.. Appl..,2000, 241:10-29. (SCI)
5. Li Desheng, Peano's theorem for implicit differential equations. J. Math. Anal. Appl.,2001, 258: 591-616. (SCI)
6. Li Desheng, On dynamical stability in general dynamical systems . J. Math. Anal. Appl.,2001, 263: 455-478. (SCI)
7. Li Desheng, Dichotomies of solutions for a class of second-order nonlinear differential equations, Glasgow Math. Journal, 2002, 44 (2): 339-348. (SCI)
8. Li Desheng and Huang Haiyang, Blow-up phenomena of second-order differential equations, J. Math. Anal. Appl., 2002, 276 (1): 184-195. (SCI)
9. Li Desheng and Xiaoxian Zhang, On the stability in general gynamical systems and differential inclusions, J. Math. Anal. Appl., 2002, 274 (2): 705. (SCI)
10. Li Desheng and Liang Yantang, Viscosity solutions method for periodic solutions of implicit first-order differential equations. Comm. On Applied Nonlinear Analysis, 2003, 10: 21-35.
11. Li Desheng and Liang Yantang, Existence of periodic solutions for fully nonlinear first-order differential equations, Nonlinear Anal。,TMA, 2003, 52: 1095-1109. (SCI)
12. Li Desheng and P. E. Kloeden, Equi-attraction and continuous dependence of attractors on parameters, Glasgow Math. Journal, 2004, 46: 1-11. (SCI)
13. Li Desheng and P. E. Kloeden, Equi-attraction and the continuous dependence of pullback attractors on parameters, Stochastics and Dynamics, 2004, 4: 373-384.
14. Zhong Chengkui, Li Desheng and P .E. Kloeden, Uniform attractors of periodic and asymptotically periodic dynamical systems, Discrete and Continuous Dyniamical systems, 2004, 11 (4). (SCI)
15. Wang Yejuan, Li Desheng and P. E. Kloeden, On the asymptotic behavior of nonautomous dynamical systems, Nonlinear Analysis,TMA, 2004, 59: 35-53. (SCI)
16. Li Desheng and P. E. Kloeden, Robustness of asymptotic stability to small time delays, Disc. and Cont. Dyn. Syst., 2005,13(4). (邀请论文) (SCI)
17. Li Desheng and P. E. Kloeden, Equi-attraction and continuous dependence of strong attractors of set-valued dynamical systems on parameters, Set-valued Analysis,to appear. (SCI )
18. Wang Suyun, Li Desheng and Zhong Chengkui, On the dynamics of a class of nonclassical parabolic equations, J. Math. Anal. Appl., to appear. (SCI )
19. Li Desheng and P. E. Kloeden, On the dynamics of nonautonomous periodic general dynamical systems and differential inclusions, J. Diff. Eqns., to appear. (SCI)

研究成果:

国家自然科学基金面上项目: 具经常干扰的非线性系统全局动力学行 为分析, 基金号: 10251002 (2003-2005)。 (主持人)
国家自然科学基金: 非线性椭圆型问题的爆炸解, 基金号: 10071066, (2001-2003)。(第二位)

荣誉和奖励:

非线性发展系统的动力学稳定性, 山东省高校科技进步二等奖, 2001, 独立.
非线性微分方程的动力学行为分析, 山东省高校科技进步二等奖, 2003,独立.
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其  它:

   
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