Asymptotic Properties of Eigenvalues and Eigenfunctions of A Sturm-Liouville Problem with Discontinuous Weight Function

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Küçük Resim

Tarih

2014

Dergi Başlığı

Dergi ISSN

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Yayıncı

Univ Miskolc Inst Math

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we extend some spectral properties of regular Sturm-Liouville problems to those which consist of a Sturm-Liouville equation with discontinuous weight at two interior points together with spectral parameter-dependent boundary conditions. By modifying some techniques of [C. T. Fulton, Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions, Proc. Roy. Soc. Edinburgh Sect. A 77 (1977) 293-308; O. Sh. Mukhtarov and M. Kadakal, Some spectral properties of one Sturm-Liouville type problem with discontinuous weight, Siberian Mathematical Journal, 46 (2005) 681-694], we give an operator-theoretic formulation for the considered problem and obtain asymptotic formulas for the eigenvalues and eigenfunctions.

Açıklama

Anahtar Kelimeler

Sturm-Liouville problem, eigenparameter, transmission conditions, asymptotics of eigenvalues and eigenfunctions, Boundary-Value Problem, Spectral Parameter

Kaynak

Miskolc Mathematical Notes

WoS Q Değeri

Q4

Scopus Q Değeri

Q3

Cilt

15

Sayı

1

Künye