Resolution of Singularities for a Family of Third-order Differential Systems with Small Meromorphic Solution Spaces

نویسنده

  • YUSUKE SASANO
چکیده

0. abstract Regarding the resolution of singularities for the differential equations of Painlevé type, there are important differences between the second-order Painlevé equations and those of higher order. Unlike the second-order case, in higher order 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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تاریخ انتشار 2005