Geodesic
Hille-Wintner type comparison kriteria for half-linear second order differential equations
Archivum mathematicum, Tome 42 (2006) no. 2, pp. 185-194 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We establish Hille-Wintner type comparison criteria for the half-linear second order differential equation \[ \left(r(t)\Phi (x^{\prime })\right)^{\prime }+c(t)\Phi (x)=0,\quad \Phi (x)=|x|^{p-2}x\,,\ p>1\,, \] where this equation is viewed as a perturbation of another equation of the same form.
We establish Hille-Wintner type comparison criteria for the half-linear second order differential equation \[ \left(r(t)\Phi (x^{\prime })\right)^{\prime }+c(t)\Phi (x)=0,\quad \Phi (x)=|x|^{p-2}x\,,\ p>1\,, \] where this equation is viewed as a perturbation of another equation of the same form.
Classification : 34C10, 34C15
Keywords: half-linear differential equation; Hille-Wintner comparison criterion; Riccati equation; principal solution 
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Došlý, Ondřej; Pátíková, Zuzana. Hille-Wintner type comparison kriteria for half-linear second order differential equations. Archivum mathematicum, Tome 42 (2006) no. 2, pp. 185-194. http://geodesic.mathdoc.fr/item/ARM_2006_42_2_a9/

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