Spectral Properties of Discontinuous Sturm-Liouville Problems with a Finite Number of Transmission Conditions
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Dosyalar
Tarih
2016
Yazarlar
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
