A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus

In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some algebraic structures. Then, some asymptotic estimates...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Sertac Goktas
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/3c4c8d3a0fc0474392e0a9f7d459da36
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:3c4c8d3a0fc0474392e0a9f7d459da36
record_format	dspace
spelling	oai:doaj.org-article:3c4c8d3a0fc0474392e0a9f7d459da362021-11-08T02:36:08ZA New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus2314-888810.1155/2021/5203939https://doaj.org/article/3c4c8d3a0fc0474392e0a9f7d459da362021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5203939https://doaj.org/toc/2314-8888In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some algebraic structures. Then, some asymptotic estimates for eigenfunctions of the multiplicative Sturm-Liouville problem are obtained by some techniques. Finally, some basic spectral properties of this multiplicative problem are examined in detail.Sertac GoktasHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Sertac Goktas A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus
description	In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some algebraic structures. Then, some asymptotic estimates for eigenfunctions of the multiplicative Sturm-Liouville problem are obtained by some techniques. Finally, some basic spectral properties of this multiplicative problem are examined in detail.
format	article
author	Sertac Goktas
author_facet	Sertac Goktas
author_sort	Sertac Goktas
title	A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus
title_short	A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus
title_full	A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus
title_fullStr	A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus
title_full_unstemmed	A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus
title_sort	new type of sturm-liouville equation in the non-newtonian calculus
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/3c4c8d3a0fc0474392e0a9f7d459da36
work_keys_str_mv	AT sertacgoktas anewtypeofsturmliouvilleequationinthenonnewtoniancalculus AT sertacgoktas newtypeofsturmliouvilleequationinthenonnewtoniancalculus
_version_	1718443175959330816

A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus

Ejemplares similares