Spectral Properties of Discontinuous Sturm-Liouville Problems with a Finite Number of Transmission Conditions

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Küçük Resim

Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer Basel Ag

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper we investigate discontinuous two-point boundary value problems with eigenparameter in the boundary conditions and with transmission conditions at the finitely many points of discontinuity. A self-adjoint linear operator A is defined in a suitable Hilbert space H such that the eigenvalues of the considered problem coincide with those of A. We obtain asymptotic formulas for the eigenvalues and eigenfunctions. Also we show that the eigenelements of A are complete in H.

Açıklama

Anahtar Kelimeler

Sturm-Liouville problems, eigenparameter-dependent boundary conditions, transmission conditions, asymptotics of eigenvalues and eigenfunctions, completeness, spectrum, Boundary-Value Problem, Eigenvalue Parameter, Eigenfunctions

Kaynak

Mediterranean Journal of Mathematics

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

13

Sayı

1

Künye