The Distributional Henstock-Kurzweil Integral and Applications: A Survey

Authors

  • Guoju Ye College of Science, Hohai University, Nanjing 210098, P. R. China
  • Wei Liu College of Science, Hohai University, Nanjing 210098, P. R. China

DOI:

https://doi.org/10.4208/jms.v49n4.16.06

Keywords:

Distributional Henstock-Kurzweil integral, Banach lattice, convergence theorem, cone, fixed point theorem, integral and differential equations.

Abstract

This study presents a summary of the current state of research on the distributional Henstock-Kurzweil integral. Basic properties such as integration by parts, Hake theorem, inner product, Hölder inequality, second mean value theorem, orderings, Banach lattice, convergence theorems, fixed point theorems, are shown. This study also summarizes its applications in integral and differential equations.

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Published

2021-11-08

Issue

Vol. 49 No. 4 (2016)

Section

Articles