Sturm-Liouville problem with moving discontinuity points

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Tarih

2015

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer International Publishing

Erişim Hakkı

Attribution 4.0 International (CC BY 4.0)
info:eu-repo/semantics/openAccess

Özet

In this paper, we present a new discontinuous Sturm-Liouville problem with symmetrically located discontinuities which are defined depending on a parameter in the neighborhood of an interior point in the interval. Also the problem contains an eigenparameter in a boundary condition. We investigate some spectral properties of the eigenvalues, obtain asymptotic formulae for the eigenvalues and the corresponding eigenfunctions and construct Green’s function for the problem. We give an illustrative example with tables and figures at the end of the paper. © 2015, Hıra and Altınışık.

Açıklama

Anahtar Kelimeler

Eigenvalue and Eigenfunction, Green’s Function, Moving Discontinuity Point, Sturm-Liouville Problem

Kaynak

Boundary Value Problems

WoS Q Değeri

N/A

Scopus Q Değeri

Q1

Cilt

2015

Sayı

1

Künye

Hıra, F., Altınışık, N. (2015). Sturm-Liouville problem with moving discontinuity points. Boundary Value Problems, 2015(1), 237.