On the solutions of Okubo-type systems

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Authors
Filipuk, Galina; Lastra Sedano, AlbertoUniversity of Alcalá Author
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/49330
DOI: 10.1155/2021/6690201
ISSN: 2314-4629
Publisher
Hindawi
Date
2021-02-09
Academic Departments
Universidad de Alcalá. Departamento de Física y Matemáticas
Teaching unit
Unidad Docente Matemáticas
Funders
Agencia Estatal de Investigación
Universidad de Alcalá
Bibliographic citation
Filipuk, G. & Lastra, A. 2021, "On the solutions of Okubo-type systems", Journal of Mathematics, vol. 2021, Article ID 6690201.
Project
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105621GB-I00/ES/METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOS/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105621GB-I00/ES/METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOS/
info:eu-repo/grantAgreement/UAH//CM-JIN-2019-010
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/publishedVersion
Publisher's version
https://doi.org/10.1155/2021/6690201
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Access rights
info:eu-repo/semantics/openAccess
Abstract
We show that for certain systems of Okubo type we can find a solution vector, all components of which are expressed in terms of the first one. This first component solves a Volterra integral equation with the kernel expressed in terms of the solutions of reduced Okubo-type systems of smaller dimension. Such a solution is also expressed as a power series about the origin with coefficients satisfying certain recurrence relation. This extends results in [W. Balser, C. Röscheisen, J. Differential Equations, 2009].

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Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
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