Hill-type and Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem
主 题: Hill-type and Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem
报告人: Professor Xijun Hu (Shangdong University)
时 间: 2015-03-27 15:00 - 16:00
地 点: 理科一号楼 1114(数学所活动）
We consider the standard Sturm-Liouville eigenvalue problem. Based on works of the Hill-type formula, we get a trace formula which can be considered as a generations of Krein’s work in 1950’s, from it, the sum of inverse of the eigenvalues could expressed by the monodromy matrix. Some applications for the stability problem in n-body problem is given. This is based on joint works with Yuwei Ou and Penghui Wang.