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Bulletin of Irkutsk State University. Series Mathematics, 2010, Volume 3, Issue 1, Pages 92–103 (Mi iigum148)  
This article is cited in 2 scientific papers (total in 2 papers)

Branching solutions of nonlinear differential equations of $n$-th order

N. A. Sidorova, D. N. Sidorovb

a Irkutsk State University, 1, K.Marks St., Irkutsk, 664003
b Energy Systems Institute SB RAS, 130, Lermontov Str., Irkutsk, 664033
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Abstract: 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.
Document Type: Article
UDC: 518.517
Language: Russian
Citation: N. A. Sidorov, D. N. Sidorov, “Branching solutions of nonlinear differential equations of $n$-th order”, Bulletin of Irkutsk State University. Series Mathematics, 3:1 (2010), 92–103
Citation in format AMSBIB
\Bibitem{SidSid10}
\by N.~A.~Sidorov, D.~N.~Sidorov
\paper Branching solutions of nonlinear differential equations of $n$-th order
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2010
\vol 3
\issue 1
\pages 92--103
\mathnet{http://mi.mathnet.ru/iigum148}
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