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Title: Asymptotic behavior of positive solutions of the nonlinear differential equation t²u''= u{^n},1 < n
Authors: 李明融
Contributors: 應數系
Keywords: Nonlinear differential equation;Emden-Fowler equation;blow-up rate
Date: 2013.12
Issue Date: 2014-06-13 12:00:05 (UTC+8)
Abstract: In this article we study properties of positive solutions of the ordinary differential equation $t^2u''=u^n$ for $1<n\in\mathbb{N}$, we obtain conditions for their blow-up in finite time, and some properties for global solutions. Equations containing more general nonlinear terms are also considered.
Relation: Electronic journal of differential equations, 2013(250), 1-9
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Data Type: article
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