Spectral properties of an impulsive Sturm–Liouville operator

This work is devoted to discuss some spectral properties and the scattering function of the impulsive operator generated by the Sturm–Liouville equation. We present a different method to investigate the spectral singularities and eigenvalues of the mentioned operator. We also obtain the finiteness o...

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Detalles Bibliográficos
Autores principales: Bairamov, Elgiz, Erdal, Ibrahim, Yardimci, Seyhmus
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6063334/
https://www.ncbi.nlm.nih.gov/pubmed/30137919
http://dx.doi.org/10.1186/s13660-018-1781-0
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author Bairamov, Elgiz
Erdal, Ibrahim
Yardimci, Seyhmus
author_facet Bairamov, Elgiz
Erdal, Ibrahim
Yardimci, Seyhmus
author_sort Bairamov, Elgiz
collection PubMed
description This work is devoted to discuss some spectral properties and the scattering function of the impulsive operator generated by the Sturm–Liouville equation. We present a different method to investigate the spectral singularities and eigenvalues of the mentioned operator. We also obtain the finiteness of eigenvalues and spectral singularities with finite multiplicities under some certain conditions. Finally, we illustrate our results by a detailed example.
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spelling pubmed-60633342018-08-09 Spectral properties of an impulsive Sturm–Liouville operator Bairamov, Elgiz Erdal, Ibrahim Yardimci, Seyhmus J Inequal Appl Research This work is devoted to discuss some spectral properties and the scattering function of the impulsive operator generated by the Sturm–Liouville equation. We present a different method to investigate the spectral singularities and eigenvalues of the mentioned operator. We also obtain the finiteness of eigenvalues and spectral singularities with finite multiplicities under some certain conditions. Finally, we illustrate our results by a detailed example. Springer International Publishing 2018-07-27 2018 /pmc/articles/PMC6063334/ /pubmed/30137919 http://dx.doi.org/10.1186/s13660-018-1781-0 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
Bairamov, Elgiz
Erdal, Ibrahim
Yardimci, Seyhmus
Spectral properties of an impulsive Sturm–Liouville operator
title Spectral properties of an impulsive Sturm–Liouville operator
title_full Spectral properties of an impulsive Sturm–Liouville operator
title_fullStr Spectral properties of an impulsive Sturm–Liouville operator
title_full_unstemmed Spectral properties of an impulsive Sturm–Liouville operator
title_short Spectral properties of an impulsive Sturm–Liouville operator
title_sort spectral properties of an impulsive sturm–liouville operator
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6063334/
https://www.ncbi.nlm.nih.gov/pubmed/30137919
http://dx.doi.org/10.1186/s13660-018-1781-0
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