Analysis of dipolar sources in the solution of the Electroencephalographic Inverse Problem

MM Morín-Castillo, J Arriaga-Hernández… - Mathematics, 2022 - mdpi.com
In this work, we propose a solution to the problem of identification of sources in the brain
from measurements of the electrical potential, recorded on the scalp EEG …

Stable identification of sources located on interface of nonhomogeneous media

JJ Conde Mones, ER Estrada Aguayo… - Mathematics, 2021 - mdpi.com
This paper presents a stable method for the identification of sources located on the
separation interface of two homogeneous media (where one of them is contained by the …

[HTML][HTML] The HK-Sobolev space and applications to one-dimensional boundary value problems

T Pérez-Becerra, S Sánchez-Perales… - Journal of King Saud …, 2020 - Elsevier
In this paper, we introduce the HK-Sobolev space and establish a fundamental theorem of
calculus and an integration by parts formula, then we give sufficient conditions for the …

On the convergence of the linear tracking differentiator for signals with KH-integrable derivatives

S Sánchez-Perales, JC Felipe-Figueroa… - Mathematics of Control …, 2024 - Springer
In this paper, the convergence proof of the second-order linear tracking differentiator,
proposed by Han, is performed for signals with Kurzweil–Henstock integrable derivatives …

Role of the Harnack Extension Principle in the Kurzweil-Stieltjes Integral

UM Hanung - arXiv preprint arXiv:2207.04426, 2022 - arxiv.org
Various kinds of Stieltjes integrals using gauge integration have become highly popular in
the field of differential equations and other applications. In the theories of integration and of …

Sturm–Liouville Differential Equations Involving Kurzweil–Henstock Integrable Functions

S Sánchez-Perales, T Pérez-Becerra… - Mathematics, 2021 - mdpi.com
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 …

Solving Poisson Equation by Distributional HK‐Integral: Prospects and Limitations

AJ Maldeniya, NC Ganegoda… - … of Mathematics and …, 2021 - Wiley Online Library
In this paper, we present some properties of integrable distributions which are continuous
linear functional on the space of test function D ℝ 2. Here, it uses two‐dimensional Henstock …

Why we need Non absolute integral in place of Lebesgue integral?

H Kalita, B Hazarika - Dera Natung Government College Research …, 2021 - dngc.ac.in
In this survey note we discuss about non absolute integrable functions and we put our view
about the question: Why we need Non absolute integral in place of Lebesgue integral …

[PDF][PDF] Research Article Solving Poisson Equation by Distributional HK-Integral: Prospects and Limitations

AJ Maldeniya, NC Ganegoda, K De Silva… - 2021 - academia.edu
In this paper, we find an integrable distributional solution for Poisson's equation in the upper
half space. Poisson's equation is a second-order elliptic partial differential equation which …

[PDF][PDF] Sturm–Liouville Differential Equations Involving Kurzweil–Henstock Integrable Functions. Mathematics 2021, 9, 1403

S Sánchez-Perales, T Pérez-Becerra, VH Vázquez… - 2021 - academia.edu
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 …