Geodesic
Branching solutions of nonlinear differential equations of $n$-th order
The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 1, pp. 92-103

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Analytical theory of branching solutions of nonlinear equations and theory of differential equations with singular point are employed for construction of solutions of differential equations of $n$-th order in the neighborhood of branching points.
Keywords: nonlinear differential equations, Newton diagram, Jordan forms, branching. 
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     title = {Branching solutions of nonlinear differential equations of $n$-th order},
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N. A. Sidorov; D. N. Sidorov. Branching solutions of nonlinear differential equations of $n$-th order. The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 1, pp. 92-103. http://geodesic.mathdoc.fr/item/IIGUM_2010_3_1_a9/