演讲人: Yi, Li, Wright State University, Dayton, Ohio

讲座时间: 2014年10月22日，10:00-11:00am

讲座地点: 中国人民大学环境学院316房间

讲座内容: We consider positive solutions of the Dirichlet problem which depending on a positive parameter . Each solution u(x) is an even function, and hence it is uniquely identi.ed by u(0). We present a formula, which allows to compute all u(0) where a turn may occur, and then we give another formula, which allows to compute the direction of the turn. As an application, we present a

1. computer assisted rigious proof of the exact bifurcation diagram in case f(u) is any cubic with real and distinct roots. Another application is a

2. computer assisted rigious proof of a conjecture on S-bifurcation related to gas combustion.

3.computer assisted rigious proof of some pitchfork bifurcation in dynamical systems