奇异摄动理论研究在华东师范大学的发展

回顾了"奇异摄动'理论研究在华东师范大学数学系的兴起和发展,并反映了该研究在现代中国的历史.前辈科学家钱伟长、郭永怀、钱学森和林家翘等,在20世纪40-50年代, 做出了开创性贡献;因"文化大革命"使该领域刚起步的研究中断. 70年代末文革结束后,数学系微分方程教研室决定把奇异摄动理论作为研究方向.通过"走出去'"请进来'的方式, 向美国和俄罗斯学习先进的理论和方法. 到,90,年代初, 迎来了国内奇异摄动研究的高潮.以后一段时间因后继乏人等原因而逐步陷入低谷. 到了21世纪,随着国家大力实施科技兴国, 倪明康在俄罗斯苦学12年回国成为新一代的学术带头人, 奇异摄动理论研究在我校和我国开始了复兴之路.

Research of Singular Perturbation Theory in East China Normal University(Chinese)

The growth and development of the research in the singular perturbation theory in the Department of Mathematics at East China Normal University is reviewed, uncovering historical facts in this research area in China. Some outstanding Chinese scientists, such as QIAN Wei-chang, GUO Yong-huai, QIAN Xue-sen and LIN Jia-qiao, have made pioneer contributions in this area. The Chinese Culture Revolution interrupted the research. In the late 1970s, after the end of the Culture Revolution, the section on research and teaching of differential equations in the department of mathematics of ECNU decided to make the theory and application of singular perturbation as a research direction. In the early 1990s the research is thriving under the efforts of the mathematicians in China. After then, however, was a recession period because of the lack of new researchers. But now, as a result of Chinese Government's continuously supporting of scientific researches, and outstanding mathematicians such as Ni Ming-kang have returned from abroad, the research of singular perturbation is becoming active again at our university and in China.