On asymptotic behavior of positive solutions of $\bm{x" = e^{\alpha \lambda t} x^{1 + \alpha \/}}$ with $\bm{\alpha < -1\/}$
Tsukamoto, Ichiro
Hiroshima Math. J., Tome 37 (2007) no. 1, p. 161-180 / Harvested from Project Euclid
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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.
Publié le : 2007-07-14
Classification:  Asymptotic behavior,  initial value problem,  first order rational differential equation,  2-dimensional dynamical system,  Briot-Bouquet differential equation,  34A12,  34A34 
@article{1187916317,
     author = {Tsukamoto, Ichiro},
     title = {On asymptotic behavior of positive solutions of $\bm{x" = e^{\alpha \lambda t} x^{1 + \alpha \/}}$ with $\bm{\alpha < -1\/}$},
     journal = {Hiroshima Math. J.},
     volume = {37},
     number = {1},
     year = {2007},
     pages = { 161-180},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1187916317}
}

Tsukamoto, Ichiro. On asymptotic behavior of positive solutions of $\bm{x" = e^{\alpha \lambda t} x^{1 + \alpha \/}}$ with $\bm{\alpha < -1\/}$. Hiroshima Math. J., Tome 37 (2007) no. 1, pp.  161-180. http://gdmltest.u-ga.fr/item/1187916317/