This article is cited in 6 papers

On Solutions of Emden–Fawler-type Equations

V. S. Samovol

National Research University "Higher School of Economics", Moscow

Abstract: The paper deals with solutions to Emden–Fawler-type equations of any arbitrary order. The asymptotic properties of solutions to these equations are studied, and a systematic survey of numerous uncoordinated results of analysis of continuable and noncontinuable solutions is given.

Keywords: Emden–Fawler-type equation, continuable solution, noncontinuable solution, oscillating solution.

UDC: 517.91

Received: 28.05.2013

DOI: 10.4213/mzm10445

 English version: Mathematical Notes, 2014, 95:5, 708–720

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