一类右定Sturm-Liouville问题本征的渐近分析

Analysis of Asymptotic Behavior of A Regular Sturm-Liouville Problem

考虑[0,π]上一类带一般分离型边界条件的右定S-L问题本征的渐近表示,利用函数论方法,解决了其本征值的存在与分布,得出其本征的渐近表示.

In this paper, we considered the asymptotic expansion of eigenvalues for a regular Stirm-Liouville problem in [0,π]. By applying functional theory, we gave a detailed analysis of the eigenvalues and the eigenfunctions,and revealed the asymptotic hehavior of the problem.