Algebrization of Nonautonomous Differential Equations

María Aracelia Alcorta-García, Martín Eduardo Frías-Armenta, María Esther Grimaldo-Reyna and Elifalet López-González

Journal of Applied Mathematics, 2015, vol. 2015, 1-10

Abstract:

Given a planar system of nonautonomous ordinary differential equations, , conditions are given for the existence of an associative commutative unital algebra with unit and a function on an open set such that and the maps and are Lorch differentiable with respect to for all , where and represent variables in . Under these conditions the solutions of the differential equation over define solutions of the planar system.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:632150

DOI: 10.1155/2015/632150

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