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Sturm–Liouville Differential Equations Involving Kurzweil–Henstock Integrable Functions

Author

Listed:
  • Salvador Sánchez-Perales

    (Instituto de Física y Matemáticas, Universidad Tecnológica de la Mixteca, Km. 2.5 Carretera a Acatlima, Oaxaca 69000, Mexico
    These authors contributed equally to this work.)

  • Tomás Pérez-Becerra

    (División de Estudios de Postgrado, Universidad Tecnológica de la Mixteca, Km. 2.5 Carretera a Acatlima, Oaxaca 69000, Mexico
    These authors contributed equally to this work.)

  • Virgilio Vázquez-Hipólito

    (Instituto de Física y Matemáticas, Universidad Tecnológica de la Mixteca, Km. 2.5 Carretera a Acatlima, Oaxaca 69000, Mexico
    These authors contributed equally to this work.)

  • José J. Oliveros-Oliveros

    (Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Río Verde y Av. San Claudio, San Manuel, Puebla 72570, Mexico
    These authors contributed equally to this work.)

Abstract

In this paper, we give sufficient conditions for the existence and uniqueness of the solution of Sturm–Liouville equations subject to Dirichlet boundary value conditions and involving Kurzweil–Henstock integrable functions on unbounded intervals. We also present a finite element method scheme for Kurzweil–Henstock integrable functions.

Suggested Citation

  • Salvador Sánchez-Perales & Tomás Pérez-Becerra & Virgilio Vázquez-Hipólito & José J. Oliveros-Oliveros, 2021. "Sturm–Liouville Differential Equations Involving Kurzweil–Henstock Integrable Functions," Mathematics, MDPI, vol. 9(12), pages 1-20, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1403-:d:576469
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    References listed on IDEAS

    as
    1. Salvador Sánchez-Perales & Francisco J. Mendoza Torres & Juan A. Escamilla Reyna, 2012. "Henstock-Kurzweil Integral Transforms," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-11, October.
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