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Research Article | Open Access

Spectral parameter power series method for Kurzweil–Henstock integrable functions

Israel A. Cordero-Martínez2, Salvador Sánchez-Perales1( ), Francisco J. Mendoza-Torres3
Instituto de Física y Matemáticas, Universidad Tecnológica de la Mixteca, Oaxaca, Mexico
División de Estudios de Postgrado, Universidad Tecnológica de la Mixteca, Oaxaca, Mexico
Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Puebla, Mexico
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Abstract

In this paper, the convergence of the spectral parameter power series method, proposed by Kravchenko, is performed for the Sturm–Liouville equation with Kurzweil–Henstock integrable coefficients. Numerical simulations of some examples are also presented to validate the performance of the method.

Keywords

Kurzweil–Henstock integralSturm–Liouville equationspectral parameter power series
CLC number: 26A39, 34B24, 34L16, 41A58, 65L10

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 23598-23616
DOI: 10.3934/math.20241147

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Cordero-Martínez IA, Sánchez-Perales S, Mendoza-Torres FJ. Spectral parameter power series method for Kurzweil–Henstock integrable functions. AIMS Mathematics, 2024, 9(9): 23598-23616. https://doi.org/10.3934/math.20241147

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Received: 18 May 2024
Revised: 25 July 2024
Accepted: 30 July 2024
Published: 15 September 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)