Spectral parameter power series method for Kurzweil-Henstock integrable functions

被引:0
作者
Cordero-Martinez, Israel A. [2 ]
Sanchez-Perales, Salvador [1 ]
Mendoza-Torres, Francisco J. [3 ]
机构
[1] Univ Tecnol Mixteca, Inst Fis & Matemat, Oaxaca, Mexico
[2] Univ Tecnol Mixteca, Div Estudios Postgrad, Oaxaca, Mexico
[3] Benemerita Univ Autonoma Puebla, Fac Ciencias Fisico Matemat, Puebla, Mexico
来源
AIMS MATHEMATICS | 2024年 / 9卷 / 09期
关键词
Kurzweil-Henstock integral; Sturm-Liouville equation; spectral parameter power series;
D O I
10.3934/math.20241147
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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. ffi cients. Numerical simulations of some examples are also presented to validate the performance of the method.
引用
收藏
页码:23598 / 23616
页数:19
相关论文
共 12 条
  • [1] Bartle R G., 2001, MODERN THEORY INTEGR, DOI 10.1090/gsm/032
  • [2] Spectral parameter power series method for discontinuous coefficients
    Blancarte, Herminio
    Campos, Hugo M.
    Khmelnytskaya, Kira V.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (10) : 2000 - 2011
  • [3] Celidze VG., 1989, THEORY DENJOY INTEGR, DOI [10.1142/0935, DOI 10.1142/0935]
  • [4] Gordon R A., 1994, INTEGRALS LEBESGUE D
  • [5] A representation for solutions of the Sturm-Liouville equation
    Kravchenko, Vladislav V.
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2008, 53 (08) : 775 - 789
  • [6] Spectral parameter power series for Sturm-Liouville problems
    Kravchenko, Vladislav V.
    Michael Porter, R.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (04) : 459 - 468
  • [7] The HK-Sobolev space and applications to one-dimensional boundary value problems
    Perez-Becerra, T.
    Sanchez-Perales, S.
    Oliveros-Oliveros, J. J.
    [J]. JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2020, 32 (06) : 2790 - 2796
  • [8] Rudin W., 1976, Principles of Mathematical Analysis, V3
  • [9] Sanchez-Perales S., Sturm-Liouville differential equations with Kurzweil-Henstock integrable functions as coefficients
  • [10] Henstock-Kurzweil Fourier transforms
    Talvila, E
    [J]. ILLINOIS JOURNAL OF MATHEMATICS, 2002, 46 (04) : 1207 - 1226