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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2013-11-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2013/250/abstr.html |
Summary: | 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. |
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ISSN: | 1072-6691 |