Open Access
July 2007 On asymptotic behavior of positive solutions of $\bm{x" = e^{\alpha \lambda t} x^{1 + \alpha \/}}$ with $\bm{\alpha < -1\/}$
Ichiro Tsukamoto
Hiroshima Math. J. 37(2): 161-180 (July 2007). DOI: 10.32917/hmj/1187916317

Abstract

In this paper we shall show asymptotic behavior of all positive solutions of the second order nonlinear di¤erential equation written in the title. It will complete this task to obtain an analytical expression or an asymptotic form of every solution valid in a neighborhood of an end of its domain.

Citation

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Ichiro Tsukamoto. "On asymptotic behavior of positive solutions of $\bm{x" = e^{\alpha \lambda t} x^{1 + \alpha \/}}$ with $\bm{\alpha < -1\/}$." Hiroshima Math. J. 37 (2) 161 - 180, July 2007. https://doi.org/10.32917/hmj/1187916317

Information

Published: July 2007
First available in Project Euclid: 24 August 2007

zbMATH: 1141.34031
MathSciNet: MR2345366
Digital Object Identifier: 10.32917/hmj/1187916317

Subjects:
Primary: 34A12
Secondary: 34A34

Keywords: 2-dimensional dynamical system , asymptotic behavior , Briot-Bouquet differential equation , first order rational differential equation , Initial value problem

Rights: Copyright © 2007 Hiroshima University, Mathematics Program

Vol.37 • No. 2 • July 2007
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