Gevrey orders of solutions to the fourth Painlevé equation near infinity
We consider the fourth Painlevé equation and its formal power series solutions near infinity obtained if αβ ≠ 0. We obtain Gevrey orders of each power series solution using the methods of French and Japanese schools and compare these algorithms with algorithms of Power Geometry.
Painlevé equations, Gevrey order
Publication language:russian, pages:12
Mathematical problems and theory of numerical methods