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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