广州大学——郭志明
个人简介
郭志明,1966年4月生,广州大学数学与信息科学学院教授,博士,硕士生导师。2001年,在中山大学数学与计算科学学院获理学博士学位。2003年9月,在湖南大学应用数学系博士后流动站出站。主要从事泛函微分方程与差分方程的理论与应用研究。
◆ 教学工作
主讲过多门数学系的专业基础课和选修课,如“数学分析”、“常微分方程”、“复变函数”、“偏微分方程”与“点集拓扑学”等课程以及应用数学专业硕士研究生的“拓扑学基础”、“常微分方程现代理论”、“泛函微分方程”“临界点理论与Hamilton系统”等课程。
◆ 近年来发表的主要论文:
1. 庾建设,郭志明,离散广义Emden-Fowler方程的边值问题,《中国科学》,2006, 36(7):721-732.
2. Jianshe Yu, Honghua Bin and Zhiming Guo, Periodic solutions for discrete convex Hamiltonian systems via Clarke duality, Discrete Continuous Dynamical Systems, 2006, 15(3):939-950.
3. Zhiming Guo and Jianshe Yu, Multiplicity results for Periodic Solutions to Delay Differential Equations via Critical Point Theory, Journal of Differential Equations, 218:15-35, 2005.
4. Jianshe Yu, Zhiming Guo and Xinfu Zou, Periodic Solutions of Second Order Self-Adjoint Difference Equations, J. London. Math. Soc., 71(2): 146-160, 2005.
5. Zhiming Guo and Jianshe Yu, Applications of Critical Point Theory to Difference Equations, Fields Institute Communications, Volume 42, 187-200, 2004.
6. Jianshe Yu, Yuhua Long and Zhiming Guo, Subharmonic Solutions with Prescribed Minimal Period of a Discrete Forced Pendulum Equation, Journal of Dynamics and Differential Equations, 16(2): 575-586, 2004.
7. 郭志明,庾建设,雷光龙,具有时滞的利率-流通量方程的建立及其应用,应用数学学报,27(4): 702-709, 2004.
8. Zhan Zhou, Jianshe Yu and Zhiming Guo, Periodic Solutions of Higher-Dimensional Discrete Systems,Proceedings of the Royal Society of Edinburgh, 134A, 1013-1022, 2004.
9. 郭志明,庾建设,二阶超线性差分方程周期解与次调和解的存在性,《中国科学》,2003, 33(3):226-235, Existence of periodic and subharmonic solutions for second-order superlinear difference equations, Science in China (Series A),2003, 46(4):506-515。
10. 庾建设,郭志明,非自治线性差分方程全局吸引性中的若干问题,《中国科学》,A辑,数学,2004,34(1):108-117, Some problems on the global attractivity of linear nonautonomous difference equations,Science in China(Series A),2003, 46(6):884-892。
11. Zhiming Guo and Jianshe Yu, The existence of periodic and subharmonic solutions to subquadratic second-order difference equations, J. London Math. Soc., 2003, 68(2), 419-430。
12. Zhiming Guo and Jianshe Yu, Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems, Nonlinear Analysis TMA, 2003, 55:669-683。
13. Zhiming Guo and Yuantong Xu, Existence of periodic solutions to a class of second-order neutral differential difference equations, 《应用泛函分析学报》,2003, 5(1):13-19。
14. Yuantong Xu and Zhiming Guo, Existence of periodic solutions to second--order Hamiltonian systems with potential indefinite in sign. Nonlinear Analysis TMA, 2002, 51: 1265-1275。
15. Yuantong Xu and Zhiming Guo, Applications of a Zp index theory to periodic solutions for a class of functional differential equations, J. Math. Anal. Appl.,2001, 257(1):189-205。
16. 徐远通,郭志明,一种几何指标理论在泛函微分方程中的应用,《数学学报》,2001, 44(6): 1027-1036。
17. 郭志明,徐远通,林壮鹏,一类时滞波动方程次调和解的存在性,《中山大学学报》,2000, 39(3): 6-10。
18. 徐远通,郭志明,On the existence of periodic solutions to generalized Hamiltonian systems, 《应用泛函分析学报》,2000,2(2):133-142。
19. 林壮鹏,徐远通,郭志明,一类有偏差变元的泛函微分方程的 周期解,《高校应用数学学报》,A辑, 2000,15(4):421-427。
20. Zhiming Guo, Yuantong Xu and Zhuangpeng Lin, A new Zp index theory and its applications,《Proceedings of the International Conference on Differential Equations and Computational Simulations》, Peter W. Bates, Kening Lu and Daoyi Xu (Eds), World Scientific Pub. Co., Singapore, 2000,383-388。