Completeness of eigenfunctions of discontinuous Sturm-Liouville problems

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Küçük Resim

Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer International Publishing Ag

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this work we investigate the resolvent operator and completeness of eigenfunctions of a Sturm-Liouville problem with discontinuities at two points. The problem contains an eigenparameter in one of the boundary conditions. For operator-theoretic formulation of the considered problem we define an equivalent inner product in the Hilbert space L-2[-1, 1] circle plus C and suitable self-adjoint linear operator in it.

Açıklama

Anahtar Kelimeler

Sturm-Liouville problem, Eigenvalue, Eigenfunction, Resolvent operator, Transmission conditions, Boundary-Value-Problems, Eigenvalue Parameter

Kaynak

Iranian Journal of Science and Technology Transaction A-Science

WoS Q Değeri

Q4

Scopus Q Değeri

Q2

Cilt

40

Sayı

A1

Künye