On the Solutions of Okubo-Type Systems

Galina Filipuk, Alberto Lastra and Efthymios G. Tsionas

Journal of Mathematics, 2021, vol. 2021, 1-5

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).

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6690201

DOI: 10.1155/2021/6690201

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