Spectral parameter power series method for Kurzweil–Henstock integrable functions-Reference-Cited by-同舟云学术

Spectral parameter power series method for Kurzweil–Henstock integrable functions

Published:2024 Issue:9 Volume:9 Page:23598-23616
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Cordero-Martínez Israel A.¹,Sánchez-Perales Salvador²,Mendoza-Torres Francisco J.³

Affiliation:

1. División de Estudios de Postgrado, Universidad Tecnológica de la Mixteca, Oaxaca, Mexico

2. Instituto de Física y Matemáticas, Universidad Tecnológica de la Mixteca, Oaxaca, Mexico

3. Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Puebla, Mexico

Abstract

<p>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.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference12 articles.

1. V. V. Kravchenko, A representation for solutions of the Sturm–Liouville equation, Complex Var. Elliptic, 53 (2008), 775–789. https://doi.org/10.1080/17476930802102894

2. V. V. Kravchenko, R. M. Porter, Spectral parameter power series for Sturm–Liouville problems, Math. Method. Appl. Sci., 33 (2010), 459–468. https://doi.org/10.1002/mma.1205

3. H. Blancarte, H. M. Campos, K. V. Khmelnytskaya, Spectral parameter power series method for discontinuous coefficients, Math. Method. Appl. Sci., 38 (2015), 2000–2011. https://doi.org/10.1002/mma.3282

4. E. Talvila, Henstock–Kurzweil Fourier transforms, Illinois J. Math., 46 (2002), 1207–1226. https://doi.org/10.1215/ijm/1258138475

5. R. G. Bartle, A modern theory of integration, Providence: American Mathematical Society, 2001. https://doi.org/10.1090/gsm/032