A Singular Sturm-Liouville Problem with Limit Circle Endpoints and Eigenparameter Dependent Boundary Conditions

Jinming Cai and Zhaowen Zheng

Discrete Dynamics in Nature and Society, 2017, vol. 2017, 1-12

Abstract:

In this paper, we investigate a class of discontinuous singular Sturm-Liouville problems with limit circle endpoints and eigenparameter dependent boundary conditions. Operator formulation is constructed and asymptotic formulas for eigenvalues and fundamental solutions are given. Moreover, the completeness of eigenfunctions is discussed.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:9673846

DOI: 10.1155/2017/9673846

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