Asymptotic Properties of Eigenvalues and Eigenfunctions of A Sturm-Liouville Problem with Discontinuous Weight Function
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Dosyalar
Tarih
2014
Yazarlar
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