A class of sturm-liouville operators with eigenparameter dependent boundary and transmission conditions

Erdǒgan Şen; Serkan Araci; Mehmet Acikgoz; Kamil Oru̧cǒglu

doi:10.12732/ijpam.v84i1.11

A class of sturm-liouville operators with eigenparameter dependent boundary and transmission conditions

Erdǒgan Şen^*
, Serkan Araci
, Mehmet Acikgoz
, Kamil Oru̧cǒglu

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

1 Atıf (Scopus)

Özet

In this study, we investigate a Sturm-Liouville type problem with eigenparameter dependent boundary conditions and eigenparameter dependent transmission conditions. By establishing a new self-adjoint operator A associated with the problem, we construct fundamental solutions and obtain asymptotic formulae for its eigenvalues and fundamental solutions.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	149-157
Sayfa sayısı	9
Dergi	International Journal of Pure and Applied Mathematics
Hacim	84
Basın numarası	1
DOI'lar	https://doi.org/10.12732/ijpam.v84i1.11
Yayın durumu	Yayınlandı - 2013

Belgeye Erişim

10.12732/ijpam.v84i1.11

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "A class of sturm-liouville operators with eigenparameter dependent boundary and transmission conditions",

abstract = "In this study, we investigate a Sturm-Liouville type problem with eigenparameter dependent boundary conditions and eigenparameter dependent transmission conditions. By establishing a new self-adjoint operator A associated with the problem, we construct fundamental solutions and obtain asymptotic formulae for its eigenvalues and fundamental solutions.",

keywords = "Asymptotics of eigenvalues and eigenfunctions, Differential operator, Transmission conditions",

author = "Erdǒgan {\c S}en and Serkan Araci and Mehmet Acikgoz and Kamil Or{\c u}cǒglu",

year = "2013",

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T1 - A class of sturm-liouville operators with eigenparameter dependent boundary and transmission conditions

AU - Şen, Erdǒgan

AU - Araci, Serkan

AU - Acikgoz, Mehmet

AU - Oru̧cǒglu, Kamil

PY - 2013

Y1 - 2013

N2 - In this study, we investigate a Sturm-Liouville type problem with eigenparameter dependent boundary conditions and eigenparameter dependent transmission conditions. By establishing a new self-adjoint operator A associated with the problem, we construct fundamental solutions and obtain asymptotic formulae for its eigenvalues and fundamental solutions.

AB - In this study, we investigate a Sturm-Liouville type problem with eigenparameter dependent boundary conditions and eigenparameter dependent transmission conditions. By establishing a new self-adjoint operator A associated with the problem, we construct fundamental solutions and obtain asymptotic formulae for its eigenvalues and fundamental solutions.

KW - Asymptotics of eigenvalues and eigenfunctions

KW - Differential operator

KW - Transmission conditions

UR - https://www.scopus.com/pages/publications/84875823066

U2 - 10.12732/ijpam.v84i1.11

DO - 10.12732/ijpam.v84i1.11

M3 - Article

AN - SCOPUS:84875823066

SN - 1311-8080

VL - 84

SP - 149

EP - 157

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 1

ER -

A class of sturm-liouville operators with eigenparameter dependent boundary and transmission conditions

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

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Alıntı Yap