A discontinuous Sturm–Liouville problem with boundary conditions rationally dependent on the eigenparameter

A discontinuous Sturm–Liouville problem with boundary conditions rationally dependent on the eigenparameter

Abstract The present paper deals with a class of discontinuous Sturm–Liouville problems with boundary conditions rationally dependent on the eigenparameter. Operator formulation is built and asymptotic formulas for eigenvalues and eigenfunctions are given. Moreover, the completeness of its eigenfunc...

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Bibliographic Details
Main Authors: Zhaowen Zheng, Jinming Cai, Kun Li, Maozhu Zhang
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Boundary Value Problems
Subjects:
Sturm–Liouville problem
Eigenparameter dependent boundary condition
Transmission condition
Asymptotic formulae of eigenvalue and eigenfunction
Completeness
Online Access:http://link.springer.com/article/10.1186/s13661-018-1023-x

Internet

http://link.springer.com/article/10.1186/s13661-018-1023-x

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