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Uniqueness of the Hadamard-type integral equations

The goal of this paper is to study the uniqueness of solutions of several Hadamard-type integral equations and a related coupled system in Banach spaces. The results obtained are new and based on Babenko’s approach and Banach’s contraction principle. We also present several examples for illustration...

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Detalles Bibliográficos
Autor principal: Li, Chenkuan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7796889/
https://www.ncbi.nlm.nih.gov/pubmed/33479567
http://dx.doi.org/10.1186/s13662-020-03205-8
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author Li, Chenkuan
author_facet Li, Chenkuan
author_sort Li, Chenkuan
collection PubMed
description The goal of this paper is to study the uniqueness of solutions of several Hadamard-type integral equations and a related coupled system in Banach spaces. The results obtained are new and based on Babenko’s approach and Banach’s contraction principle. We also present several examples for illustration of the main theorems.
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spelling pubmed-77968892021-01-19 Uniqueness of the Hadamard-type integral equations Li, Chenkuan Adv Differ Equ Research The goal of this paper is to study the uniqueness of solutions of several Hadamard-type integral equations and a related coupled system in Banach spaces. The results obtained are new and based on Babenko’s approach and Banach’s contraction principle. We also present several examples for illustration of the main theorems. Springer International Publishing 2021-01-09 2021 /pmc/articles/PMC7796889/ /pubmed/33479567 http://dx.doi.org/10.1186/s13662-020-03205-8 Text en © The Author(s) 2021 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Research
Li, Chenkuan
Uniqueness of the Hadamard-type integral equations
title Uniqueness of the Hadamard-type integral equations
title_full Uniqueness of the Hadamard-type integral equations
title_fullStr Uniqueness of the Hadamard-type integral equations
title_full_unstemmed Uniqueness of the Hadamard-type integral equations
title_short Uniqueness of the Hadamard-type integral equations
title_sort uniqueness of the hadamard-type integral equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7796889/
https://www.ncbi.nlm.nih.gov/pubmed/33479567
http://dx.doi.org/10.1186/s13662-020-03205-8
work_keys_str_mv AT lichenkuan uniquenessofthehadamardtypeintegralequations