Solution of the inverse problem for Bessel operator on an interval [Formula: see text]

In this note, we solve the inverse nodal problem for Bessel-type p-Laplacian problem [Formula: see text] on a special interval. We obtain some nodal parameters like nodal points and nodal lengths. In addition, we reconstruct the potential function by nodal points. Results obtained in this paper are...

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Detalles Bibliográficos
Autores principales: Coskun, Mesut, Gulsen, Tuba, Koyunbakan, Hikmet
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5816779/
https://www.ncbi.nlm.nih.gov/pubmed/29497261
http://dx.doi.org/10.1186/s13660-018-1631-0
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author Coskun, Mesut
Gulsen, Tuba
Koyunbakan, Hikmet
author_facet Coskun, Mesut
Gulsen, Tuba
Koyunbakan, Hikmet
author_sort Coskun, Mesut
collection PubMed
description In this note, we solve the inverse nodal problem for Bessel-type p-Laplacian problem [Formula: see text] on a special interval. We obtain some nodal parameters like nodal points and nodal lengths. In addition, we reconstruct the potential function by nodal points. Results obtained in this paper are similar to the classical Sturm–Liouville problem. However, equations of this type are considered with the condition defined at the origin. We solve the problem on the interval [Formula: see text] , that problem is not singular.
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spelling pubmed-58167792018-02-27 Solution of the inverse problem for Bessel operator on an interval [Formula: see text] Coskun, Mesut Gulsen, Tuba Koyunbakan, Hikmet J Inequal Appl Research In this note, we solve the inverse nodal problem for Bessel-type p-Laplacian problem [Formula: see text] on a special interval. We obtain some nodal parameters like nodal points and nodal lengths. In addition, we reconstruct the potential function by nodal points. Results obtained in this paper are similar to the classical Sturm–Liouville problem. However, equations of this type are considered with the condition defined at the origin. We solve the problem on the interval [Formula: see text] , that problem is not singular. Springer International Publishing 2018-02-17 2018 /pmc/articles/PMC5816779/ /pubmed/29497261 http://dx.doi.org/10.1186/s13660-018-1631-0 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Coskun, Mesut
Gulsen, Tuba
Koyunbakan, Hikmet
Solution of the inverse problem for Bessel operator on an interval [Formula: see text]
title Solution of the inverse problem for Bessel operator on an interval [Formula: see text]
title_full Solution of the inverse problem for Bessel operator on an interval [Formula: see text]
title_fullStr Solution of the inverse problem for Bessel operator on an interval [Formula: see text]
title_full_unstemmed Solution of the inverse problem for Bessel operator on an interval [Formula: see text]
title_short Solution of the inverse problem for Bessel operator on an interval [Formula: see text]
title_sort solution of the inverse problem for bessel operator on an interval [formula: see text]
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5816779/
https://www.ncbi.nlm.nih.gov/pubmed/29497261
http://dx.doi.org/10.1186/s13660-018-1631-0
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AT gulsentuba solutionoftheinverseproblemforbesseloperatoronanintervalformulaseetext
AT koyunbakanhikmet solutionoftheinverseproblemforbesseloperatoronanintervalformulaseetext

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