TY - JOUR
T1 - The Distributional Henstock-Kurzweil Integral and Applications: A Survey
AU - Ye , Guoju
AU - Liu , Wei
JO - Journal of Mathematical Study
VL - 4
SP - 433
EP - 448
PY - 2016
DA - 2016/12
SN - 49
DO - http://doi.org/10.4208/jms.v49n4.16.06
UR - https://global-sci.org/intro/article_detail/jms/10121.html
KW - Distributional Henstock-Kurzweil integral, Banach lattice, convergence theorem, cone, fixed point theorem, integral and differential equations.
AB - <p style="text-align: justify;">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.</p>