This article is cited in 9 papers

Uniform estimates for positive solutions of quasi-linear ordinary differential equations

I. V. Astashova

Moscow State University of Economics, Statistics and Informatics

Abstract: We obtain uniform estimates for positive solutions of higher-order quasi-linear differential equations that have a common domain and depend on estimates for the coefficients of the equation but not on the coefficients themselves.

Keywords: quasi-linear differential equation, positive solutions.

UDC: 517.925.54

MSC: 34C10, 34A30

Received: 28.03.2007

DOI: 10.4213/im2644

 English version: Izvestiya: Mathematics, 2008, 72:6, 1141–1160

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