两端奇异的左定Sturm-Liouville问题的谱函数与Weyl函数

Spectral Function and Weyl Function of Left-definiteSturm-Liouville Problems with Two Endpoint Singularity

研究了一类特殊边界条件下两端奇异的左定Sturm-Liouville问题,建立了左定Sturm-Liouville问题的谱矩阵ρ(λ)与Weyl矩阵M(λ),并给出了谱矩阵ρ(λ)的元素与Weyl矩阵M(λ)的元素之间的关系.

Leftdefinite singular SturmLiouville problems with special boundary conditions are studied.We construct the spectral matrix ρ(λ) and Weyl Matrix M(λ) of leftdefinite singular secondorder SturmLiouville equations,and also give the relationships between the elements of Weyl Matrix and the elements of spectral matrix.