AIMS Mathematics (Aug 2024)

Spectral parameter power series method for Kurzweil–Henstock integrable functions

  • Israel A. Cordero-Martínez,
  • Salvador Sánchez-Perales,
  • Francisco J. Mendoza-Torres

DOI
https://doi.org/10.3934/math.20241147
Journal volume & issue
Vol. 9, no. 9
pp. 23598 – 23616

Abstract

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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