CAJ | 학술논문

研究了一类具有转换条件且在一个边界条件中带谱参数的奇异Sturm-Liouville问题.将上述问题的特征值与特征函数的渐近分析,转化为考虑定义在适当的Hilbert空间H中的一个线性算子A的特征值与特征函数的渐近分析.同时,推导出该奇异的Sturm-Liouville算子A的特征值与特征函数的渐近式。
연구료일류구유전환조건차재일개변계조건중대보삼수적기이Sturm-Liouville문제.장상술문제적특정치여특정함수적점근분석,전화위고필정의재괄당적Hilbert공간H중적일개선성산자A적특정치여특정함수적점근분석.동시,추도출해기이적Sturm-Liouville산자A적특정치여특정함수적점근식。
This paper investigates a class of singular Sturm-Liouviile problems with transmission conditions and spectral-parameter in one boundary condition, defining a self-adjoint linear operator A in a suitable Hilbert space H such that the eigenvalues and eigenfunctions of such problem are transformed into those of operator A, meanwhile, it also deduces the asymptotic formulae of the eigenvalues and eigenfunctions of the singular Sturm-Liouville operator A.