Boundary value problems for hypergenic function vectors

This article mainly studies the boundary value problems for hypergenic function vectors in Clifford analysis. Firstly, some properties of hypergenic quasi-Cauchy type integrals are discussed. Then, by the Schauder fixed point theorem the existence of the solution to the nonlinear boundary value prob...

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Detalles Bibliográficos
Autores principales: Zhang, Guiling, Li, Chong, Xie, Yonghong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5999220/
https://www.ncbi.nlm.nih.gov/pubmed/29962821
http://dx.doi.org/10.1186/s13660-018-1725-8
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author Zhang, Guiling
Li, Chong
Xie, Yonghong
author_facet Zhang, Guiling
Li, Chong
Xie, Yonghong
author_sort Zhang, Guiling
collection PubMed
description This article mainly studies the boundary value problems for hypergenic function vectors in Clifford analysis. Firstly, some properties of hypergenic quasi-Cauchy type integrals are discussed. Then, by the Schauder fixed point theorem the existence of the solution to the nonlinear boundary value problem is proved. Finally, using the compression mapping principle the existence and uniqueness of the solution to the linear boundary value problem are proved.
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spelling pubmed-59992202018-06-28 Boundary value problems for hypergenic function vectors Zhang, Guiling Li, Chong Xie, Yonghong J Inequal Appl Research This article mainly studies the boundary value problems for hypergenic function vectors in Clifford analysis. Firstly, some properties of hypergenic quasi-Cauchy type integrals are discussed. Then, by the Schauder fixed point theorem the existence of the solution to the nonlinear boundary value problem is proved. Finally, using the compression mapping principle the existence and uniqueness of the solution to the linear boundary value problem are proved. Springer International Publishing 2018-06-13 2018 /pmc/articles/PMC5999220/ /pubmed/29962821 http://dx.doi.org/10.1186/s13660-018-1725-8 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Zhang, Guiling
Li, Chong
Xie, Yonghong
Boundary value problems for hypergenic function vectors
title Boundary value problems for hypergenic function vectors
title_full Boundary value problems for hypergenic function vectors
title_fullStr Boundary value problems for hypergenic function vectors
title_full_unstemmed Boundary value problems for hypergenic function vectors
title_short Boundary value problems for hypergenic function vectors
title_sort boundary value problems for hypergenic function vectors
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5999220/
https://www.ncbi.nlm.nih.gov/pubmed/29962821
http://dx.doi.org/10.1186/s13660-018-1725-8
work_keys_str_mv AT zhangguiling boundaryvalueproblemsforhypergenicfunctionvectors
AT lichong boundaryvalueproblemsforhypergenicfunctionvectors
AT xieyonghong boundaryvalueproblemsforhypergenicfunctionvectors

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