SPECTRAL PROBLEMS FOR STURM-LIOUVILLE OPERATORWITH NON-SEPARATED BOUNDARY CONDITIONLINEARLY DEPENDENT ON THE EIGENPARAMETER

The paper considers the Sturm-Liouville operator with separated and non-separated boundary conditions.The non-separated boundary condition contains a linear function of the spectral parameter.The properties of eigenvalues are studied, and a theorem of uniqueness of the solution of the inverse problem of recovering the corresponding boundary value problems from two spectra is proved.

Publication Details

Journal
Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan
Published
2025-01-01
DOI
https://doi.org/10.30546/2409-4994.2025.51.1.1021
Citations
1
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
3.69
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article

SPECTRAL PROBLEMS FOR STURM-LIOUVILLE OPERATORWITH NON-SEPARATED BOUNDARY CONDITIONLINEARLY DEPENDENT ON THE EIGENPARAMETER

1 citations
Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan
Spectral Theory in Mathematical Physics
3.69
article

SPECTRAL PROBLEMS FOR STURM-LIOUVILLE OPERATORWITH NON-SEPARATED BOUNDARY CONDITIONLINEARLY DEPENDENT ON THE EIGENPARAMETER

article en
1 citations

Abstract

The paper considers the Sturm-Liouville operator with separated and non-separated boundary conditions.The non-separated boundary condition contains a linear function of the spectral parameter.The properties of eigenvalues are studied, and a theorem of uniqueness of the solution of the inverse problem of recovering the corresponding boundary value problems from two spectra is proved.

Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan
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Spectral Theory in Mathematical Physics
3.69
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SPECTRAL PROBLEMS FOR STURM-LIOUVILLE OPERATORWITH NON-SEPARATED BOUNDARY CONDITIONLINEARLY DEPENDENT ON THE EIGENPARAMETER · Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan (2025) | TGRS Research Map | TGRS