Sturm-Liouville Differential Equations Involving Kurzweil-Henstock Integrable Functions

被引：4

作者：

Sanchez-Perales, Salvador ^{[1
]}

Perez-Becerra, Tomas ^{[2
]}

Vazquez-Hipolito, Virgilio ^{[1
]}

Oliveros-Oliveros, Jose J. ^{[3
]}

机构：

[1] Univ Tecnol Mixteca, Inst Fis & Matemat, Km 2-5 Carretera Acatlima, Oaxaca 69000, Oaxaca, Mexico

[2] Univ Tecnol Mixteca, Div Estudios Postgrad, Km 2-5 Carretera Acatlima, Oaxaca 69000, Oaxaca, Mexico

[3] Benemerita Univ Autonoma Puebla, Fac Ciencias Fis Matemat, Rio Verde & Av San Claudio, Puebla 72570, Mexico

来源：

MATHEMATICS | 2021年 / 9卷 / 12期

关键词：

Kurzweil-Henstock integral; KH-Sobolev space; Sturm-Liouville equation; finite element method;

D O I：

10.3390/math9121403

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：20

共 15 条

[1]

Bartle RG., 2001, A modern theory of integration

[2] APPLICATIONS OF HENSTOCK-KURZWEIL INTEGRALS ON AN UNBOUNDED INTERVAL TO DIFFERENTIAL AND INTEGRAL EQUATIONS [J].