Real self-adjoint sturm–liouville problems

M. A. El-Gebeily; K. M. Furati

doi:10.1080/00036810310001637623

Real self-adjoint sturm–liouville problems

M. A. El-Gebeily^*
, K. M. Furati

^*Corresponding author for this work

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

10 Scopus citations

Abstract

In this article we give three characterizations of real self-adjoint operators associated with the singular Sturm–Liouville expressions (Formula presented.) The first characterization is based on the construction of extensions of the domain of the minimal operator associated with ℓ, the second is based on the behavior of certain functions in their domain near the endpoints and the third is based on the boundary conditions satisfied by such extensions.

Original language	English
Pages (from-to)	377-387
Number of pages	11
Journal	Applicable Analysis
Volume	83
Issue number	4
DOIs	https://doi.org/10.1080/00036810310001637623
State	Published - Apr 2004

Keywords

Real extensions
Self-adjoint operators
Singular Sturm–Liouville problems

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036810310001637623

Cite this

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title = "Real self-adjoint sturm–liouville problems",

abstract = "In this article we give three characterizations of real self-adjoint operators associated with the singular Sturm–Liouville expressions (Formula presented.) The first characterization is based on the construction of extensions of the domain of the minimal operator associated with ℓ, the second is based on the behavior of certain functions in their domain near the endpoints and the third is based on the boundary conditions satisfied by such extensions.",

keywords = "Real extensions, Self-adjoint operators, Singular Sturm–Liouville problems",

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AU - Furati, K. M.

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N2 - In this article we give three characterizations of real self-adjoint operators associated with the singular Sturm–Liouville expressions (Formula presented.) The first characterization is based on the construction of extensions of the domain of the minimal operator associated with ℓ, the second is based on the behavior of certain functions in their domain near the endpoints and the third is based on the boundary conditions satisfied by such extensions.

AB - In this article we give three characterizations of real self-adjoint operators associated with the singular Sturm–Liouville expressions (Formula presented.) The first characterization is based on the construction of extensions of the domain of the minimal operator associated with ℓ, the second is based on the behavior of certain functions in their domain near the endpoints and the third is based on the boundary conditions satisfied by such extensions.

KW - Real extensions

KW - Self-adjoint operators

KW - Singular Sturm–Liouville problems

UR - https://www.scopus.com/pages/publications/34249337787

U2 - 10.1080/00036810310001637623

DO - 10.1080/00036810310001637623

M3 - Article

AN - SCOPUS:34249337787

SN - 0003-6811

VL - 83

SP - 377

EP - 387

JO - Applicable Analysis

JF - Applicable Analysis

IS - 4

ER -

Real self-adjoint sturm–liouville problems

Abstract

Keywords

ASJC Scopus subject areas

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