Spectral Analysis of Discontinuous Boundary-Value Problems with Retarded Argument
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Dosyalar
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
B Verkin Inst Low Temperature Physics & Engineering
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the paper, we are concerned with spectral properties of discontinuous Sturm-Liouville type problems with retarded argument. We extend and generalize some approaches and results of the classical regular and discontinuous Sturm-Liouville problems. First, we study the spectral properties of a Sturm-Liouville problem on the half-axis and obtain lower bounds for the eigenvalues of this problem. Then we study spectral properties of a Sturm-Liouville problem with discontinuous weight function which contains a spectral parameter in the boundary conditions. We also obtain asymptotic formulas for eigenvalues and eigenfunctions of this problem and bounds for the distance between eigenvalues.
Açıklama
Anahtar Kelimeler
differential equation with retarded argument, eigenparameter, transmission conditions, asymptotics of eigenvalues, bounds for eigenvalues, Sturm-Liouville Problems, Transmission Conditions, Eigenvalue Parameter, Eigenfunctions
Kaynak
Journal of Mathematical Physics Analysis Geometry
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
14
Sayı
1
