带有多项式谱参数边界条件的Sturm-Liouville问题的有限谱

Finite Spectrum of Sturm-Liouville Problems with Boundary Conditions Polynomially Dependent on the Eigenparameter

本文研究了一类带有多项式谱参数边界条件的Sturm—Liouville问题的谱分析．通过构造，证明了这类问题具有有限谱且所有谱都是特征值．

The spectral analysis of a kind of Sturm-Liouville problems with boundary conditions polynomially dependent on the eigenparameter is investigated. By construction we prove that this kind of problem has finite spectrum and all the spectrum are consist of eigenvalues.