Asymptotic behavior of positive solutions of the nonlinear differential equation t^2u''=u^n

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...

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Bibliographic Details
Main Authors: Meng-Rong Li, Hsin-Yu Yao, Yu-Tso Li
Format: Article
Language:English
Published: Texas State University 2013-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/250/abstr.html