Find in Library
Search millions of books, articles, and more
Indexed Open Access Databases
Spectral analysis of discontinuous Sturm-Liouville operators with Herglotzs transmission
oleh: Gaofeng Du, Chenghua Gao, Jingjing Wang
Format: | Article |
---|---|
Diterbitkan: | AIMS Press 2023-02-01 |
Deskripsi
In this paper, we study the spectral properties of the Sturm-Liouville operator with eigenparameter-dependent boundary conditions and transmission conditions. In details, we introduce a Hilbert space formula, so that the problem we consider can be interpreted as an eigenvalue problem of an self-adjoint operator. Moreover, the Green's function and the resolvent of the related linear operator are obtained.