Geodesic
An asymptotic formula for solutions of nonoscillatory half-linear differential equations
Archivum mathematicum, Tome 47 (2011) no. 1, pp. 69-75

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We establish a Hartman type asymptotic formula for nonoscillatory solutions of the half-linear second order differential equation \[ \left(r(t)\Phi (y^{\prime })\right)^{\prime }+c(t)\Phi (y)=0\,,\quad \Phi (y):=|y|^{p-2}y\,,\ p>1\,. \]
Classification : 34C10
Keywords: half-linear differential equation; asymptotic formula; principal solution 
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     author = {Do\v{s}l\'y, Ond\v{r}ej and \v{R}ezn{\'\i}\v{c}kov\'a, Jana},
     title = {An asymptotic formula for solutions of nonoscillatory half-linear differential equations},
     journal = {Archivum mathematicum},
     pages = {69--75},
     publisher = {mathdoc},
     volume = {47},
     number = {1},
     year = {2011},
     mrnumber = {2813547},
     zbl = {1240.34176},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2011__47_1_a5/}
}
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Došlý, Ondřej; Řezníčková, Jana. An asymptotic formula for solutions of nonoscillatory half-linear differential equations. Archivum mathematicum, Tome 47 (2011) no. 1, pp. 69-75. http://geodesic.mathdoc.fr/item/ARM_2011__47_1_a5/