[PDF][PDF] Sturm-Liouville differential equations with Kurzweil-Henstock integrable functions as coefficients

S SÁNCHEZ-PERALES… - J. Nonlinear …, 2024 - researchgate.net
This work is framed within the fusion of Sturm-Liouville theory with Kurzweil-Henstock
integration theory. We use the KH-Sobolev space to guarantee the existence and …

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 …