一类参数边界条件的奇异Sturm-Liouville问题的自伴性

Self-adjointness of a Class of Singular Sturm-Liouville Problem with Eigenparameter Dependent Boundary Conditions

本文考虑两端为极限圆型的边界条件含有参数的奇异Sturm-Liouville问题,构造了一个新的空间,并得到了此问题对应于这个新空间上的一个自伴算子.

In this paper, singular Sturm-Liouville problem with limit circle endpoints and boundary conditions dependent on eigenvalue parameters is considered. A new space is constructed and this problem is related to a self-adjoint operator in this new Hilbert space.