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

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	149-157
Number of pages	9
Journal	International Journal of Pure and Applied Mathematics
Volume	84
Issue number	1
DOIs	https://doi.org/10.12732/ijpam.v84i1.11
Publication status	Published - 2013

Keywords

Asymptotics of eigenvalues and eigenfunctions
Differential operator
Transmission conditions

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10.12732/ijpam.v84i1.11

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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",

doi = "10.12732/ijpam.v84i1.11",

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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

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Keywords

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