Abstract

Comparing the resolution of singularities for differential equations of Painleve type, there are important differences between the second-order Painleve equations and those of higher order. Unlike the second-order case, in higherorder cases there may exist some meromorphic solution spaces with codimension 2. In this paper, we will give an explicit global resolution of singularities for a 3-parameter family of third-order differential systems with meromorphic solution spaces of codimension 2.

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