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.
"Algebrization of Nonautonomous Differential Equations." J. Appl. Math. 2015 1 - 10, 2015. https://doi.org/10.1155/2015/632150