Completeness of eigenfunctions of discontinuous Sturm-Liouville problems

E. Sen; O. Sh Mukhtarov; K. Orucoglu

doi:10.1007/s40995-016-0003-1

Completeness of eigenfunctions of discontinuous Sturm-Liouville problems

E. Sen^*, O. Sh Mukhtarov, K. Orucoglu

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

1 Atıf (Scopus)

Özet

In this work we investigate the resolvent operator and completeness of eigenfunctions of a Sturm- Liouville problem with discontinuities at two points. The problem contains an eigenparameter in one of the boundary conditions. For operator-theoretic formulation of the considered problem we define an equivalent inner product in the Hilbert space L₂[-1, 1] ⊕ C and suitable self-adjoint linear operator in it.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1-8
Sayfa sayısı	8
Dergi	Iranian Journal of Science and Technology, Transaction A: Science
Hacim	40
Basın numarası	1
DOI'lar	https://doi.org/10.1007/s40995-016-0003-1
Yayın durumu	Yayınlandı - Mar 2016

Bibliyografik not

Publisher Copyright:
© Shiraz University 2016.

Belgeye Erişim

10.1007/s40995-016-0003-1

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Completeness of eigenfunctions of discontinuous Sturm-Liouville problems",

abstract = "In this work we investigate the resolvent operator and completeness of eigenfunctions of a Sturm- Liouville problem with discontinuities at two points. The problem contains an eigenparameter in one of the boundary conditions. For operator-theoretic formulation of the considered problem we define an equivalent inner product in the Hilbert space L2[-1, 1] ⊕ C and suitable self-adjoint linear operator in it.",

keywords = "Eigenfunction, Eigenvalue, Resolvent operator, Sturm-liouville problem, Transmission conditions",

author = "E. Sen and Mukhtarov, {O. Sh} and K. Orucoglu",

note = "Publisher Copyright: {\textcopyright} Shiraz University 2016.",

year = "2016",

month = mar,

doi = "10.1007/s40995-016-0003-1",

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T1 - Completeness of eigenfunctions of discontinuous Sturm-Liouville problems

AU - Sen, E.

AU - Mukhtarov, O. Sh

AU - Orucoglu, K.

N1 - Publisher Copyright: © Shiraz University 2016.

PY - 2016/3

Y1 - 2016/3

N2 - In this work we investigate the resolvent operator and completeness of eigenfunctions of a Sturm- Liouville problem with discontinuities at two points. The problem contains an eigenparameter in one of the boundary conditions. For operator-theoretic formulation of the considered problem we define an equivalent inner product in the Hilbert space L2[-1, 1] ⊕ C and suitable self-adjoint linear operator in it.

AB - In this work we investigate the resolvent operator and completeness of eigenfunctions of a Sturm- Liouville problem with discontinuities at two points. The problem contains an eigenparameter in one of the boundary conditions. For operator-theoretic formulation of the considered problem we define an equivalent inner product in the Hilbert space L2[-1, 1] ⊕ C and suitable self-adjoint linear operator in it.

KW - Eigenfunction

KW - Eigenvalue

KW - Resolvent operator

KW - Sturm-liouville problem

KW - Transmission conditions

UR - http://www.scopus.com/inward/record.url?scp=84971393401&partnerID=8YFLogxK

U2 - 10.1007/s40995-016-0003-1

DO - 10.1007/s40995-016-0003-1

M3 - Article

AN - SCOPUS:84971393401

SN - 1028-6276

VL - 40

SP - 1

EP - 8

JO - Iranian Journal of Science and Technology, Transaction A: Science

JF - Iranian Journal of Science and Technology, Transaction A: Science

IS - 1

ER -

Completeness of eigenfunctions of discontinuous Sturm-Liouville problems

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap