对B.M.Brown等人提出的开问题的探讨

The Discuss about B.M.Brown et al' Open Problem

利用对称Hamilton微分系统的极限点、极限圆分类理论,给出了复系数奇异SturmLiouville方程的Sims分类:极限点1型、极限点2型和极限圆型;并且对B.M.Brown等人提出的开问题进行了详细的讨论.

By using limit-point(circle) classification theory of symmetric Hamiltonian differential systems,the paper firstly gives the Sims-classification of singular Sturm-Liouville equations with complex coefficients:limit-point-1 case,limit-point-2 case and limit-circle case.Furthermore, the paper in detail gives a discussion to the open problem of B.M.Brown et al.