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IMCS/Publications/BASM/Issues/BASM n1(107), 2025/

About the Laplace transform on ${{L}^{1}}\left( \mathbb{R^+} \right)$

Authors: N.A. Boboyarova, J. Sh. Abdullayev
Keywords: Laplace transformation, space $ ~L^1(\mathbb R^+) ~$, Banach spaces

Abstract

In the paper some preliminaries are stated, including the basic properties of $~ \mathscr{L}L^1(\mathbb{R}^+)$. As the appropriate conditions for $g\in ~ \mathscr{L}L^1(\mathbb{R}^+),~$ we attempted to take those ones formulated in the paper.

Boboyarova Nargiza Ashurovna
Urgench technological university RANCH, house 26
Khanka street, Urgench city, 220100, Uzbekistan
E-mail:

Abdullayev Jonibek Shokirovich
Urgench State University, 14, Kh.Alimdjan str, Urgench
city, 220100, Uzbekistan
E-mail:

DOI

https://doi.org/10.56415/basm.y2025.i1.p43

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