Sturm–Liouville Differential Equations Involving Kurzweil–Henstock Integrable Functions

Salvador Sánchez-Perales, Tomás Pérez-Becerra, Virgilio Vázquez-Hipólito and José J. Oliveros-Oliveros
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Salvador Sánchez-Perales: Instituto de Física y Matemáticas, Universidad Tecnológica de la Mixteca, Km. 2.5 Carretera a Acatlima, Oaxaca 69000, Mexico
Tomás Pérez-Becerra: División de Estudios de Postgrado, Universidad Tecnológica de la Mixteca, Km. 2.5 Carretera a Acatlima, Oaxaca 69000, Mexico
Virgilio Vázquez-Hipólito: Instituto de Física y Matemáticas, Universidad Tecnológica de la Mixteca, Km. 2.5 Carretera a Acatlima, Oaxaca 69000, Mexico
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

Mathematics, 2021, vol. 9, issue 12, 1-20

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.

Keywords: Kurzweil–Henstock integral; KH–Sobolev space; Sturm–Liouville equation; finite element method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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