On solutions of $x''=t^{\alpha\lambda-2}x^{1+\alpha}$ where $\alpha>0$ and $\lambda=0,-1$
TSUKAMOTO, Ichiro
Hokkaido Math. J., Tome 35 (2006) no. 1, p. 41-60 / Harvested from Project Euclid
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Here we investigate asymptotic behavior of positive solutions of an initial value problem of the second order nonlinear differential equation written in the title. This is done from obtaining analytical expressions of the solution valid in the neighborhoods of both end points of its domain.
Publié le : 2006-02-15
Classification:  asymptotic behavior,  an initial value problem,  a two dimensional autonomous system,  the Briot-Bouquet differential equation,  34A12,  34A34 
@article{1285766307,
     author = {TSUKAMOTO, Ichiro},
     title = {On solutions of $x''=t^{\alpha\lambda-2}x^{1+\alpha}$ where $\alpha>0$ and $\lambda=0,-1$},
     journal = {Hokkaido Math. J.},
     volume = {35},
     number = {1},
     year = {2006},
     pages = { 41-60},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285766307}
}

TSUKAMOTO, Ichiro. On solutions of $x''=t^{\alpha\lambda-2}x^{1+\alpha}$ where $\alpha>0$ and $\lambda=0,-1$. Hokkaido Math. J., Tome 35 (2006) no. 1, pp.  41-60. http://gdmltest.u-ga.fr/item/1285766307/