方程组研究生短课程

题目: Liapunov-Schmidt Method and Application
主讲： Prof. Wenzhang Huang
University of Alabama (http://ultra.math.uah.edu/~huang/)
时间： 2012年5月21-25,28日，下午1：00-3：00
地点： 华东师大闵行校区行政楼1202
摘要： In this series of lectures we will give a detailed introduction of a very powerful approach, the Liapunov – Schmidt method, in the analysis of bifurcation, structure stability, and continuation for nonlinear differential equations and dynamical systems. The topic is closely related to Liapunov – Schmidt method including the implicit function theorem in Banach spaces, space decomposition and Fredholm alternative. The application of Liapunov – Schmidt method, including the backward bifurcation in models of epidemiology, Hopf bifurcation and existence of bi-stable traveling wave solutions for reaction-diffusion systems, will be presented.

日程：
5月21日 (周一): Introduction to Liapunov – Schmidt method (I)
5月22日 (周二): The brief applications of Liapunov – Schmidt method in PFDEs(校级学术报告)
5月23日 (周三): Introduction to Liapunov – Schmidt method (II)
5月24日 (周四): Liapunov – Schmidt method(III)
5月25日 (周五): The application of Liapunov – Schmidt method (I)
5月28日 (周一): The application of Liapunov – Schmidt method (II)