On the Solutions of Okubo-Type Systems-Reference-Cited by-同舟云学术

On the Solutions of Okubo-Type Systems

Published:2021-02-08 Issue: Volume:2021 Page:1-5
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Filipuk Galina¹,Lastra Alberto²^ORCID

Affiliation:

1. University of Warsaw, Faculty of Mathematics, Informatics and Mechanics, Banacha 2, 02–097 Warsaw, Poland

2. University of Alcalá, Departamento de Física y Matemáticas, Ap. de Correos 20, E-28871 Alcalá de Henares (Madrid), Spain

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 can be expressed in two ways. It solves a Volterra integral equation with the kernel expressed in terms of the solutions of a reduced Okubo-type system of smaller dimension. It is also expressed as a power series about the origin with coefficients satisfying certain recurrence relation. This extends the results in (W. Balser, C. Röscheisen, J. Differential Equations, 2009).

Funder

Narodowe Centrum Nauki

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/6690201.pdf

Reference17 articles.

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