Spectral problems for Sturm-Liouville operator with boundary and jump conditions linearly dependent on the eigenparameter

In this study, a boundary-value problem is considered, which is generated by Sturm-Liouville differential equation, parameter-dependent boundary conditions and discontinuity (or jump) conditions. The properties of the eigenvalues of this problem are investigated. Uniqueness theorems for the solution...

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Bibliographic Details
Published inInverse problems in science and engineering Vol. 20; no. 6; pp. 799 - 808
Main Authors Ozkan, A.S., Keskin, B.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.09.2012
Subjects
Boundaries
Differential equations
Discontinuity
eigenparameter dependent-boundary conditions
Eigenvalues
inverse problem
Inverse problems
jump conditions
Mathematical analysis
Spectra
Sturm-Liouville operator
Uniqueness theorems
Weyl function
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Summary:In this study, a boundary-value problem is considered, which is generated by Sturm-Liouville differential equation, parameter-dependent boundary conditions and discontinuity (or jump) conditions. The properties of the eigenvalues of this problem are investigated. Uniqueness theorems for the solution of inverse problem according to the Weyl function and spectral data are proven.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1741-5977
1741-5985
DOI:10.1080/17415977.2011.652957