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The Distributional Henstock-Kurzweil Integral and Applications: A Survey |
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| Authors: | Guoju Ye & Wei Liu |
| 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. |
| Keywords: | Distributional Henstock-Kurzweil integral Banach lattice convergence theorem cone fixed point theorem integral and differential equations |
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