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An asymptotic formula for solutions of nonoscillatory half-linear differential equations
Archivum mathematicum, Tome 47 (2011) no. 1, pp. 69-75 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We establish a Hartman type asymptotic formula for nonoscillatory solutions of the half-linear second order differential equation \[ \left(r(t)\Phi (y^{\prime })\right)^{\prime }+c(t)\Phi (y)=0\,,\quad \Phi (y):=|y|^{p-2}y\,,\ p>1\,. \]
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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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/

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