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We introduce the concept of the regular (nonoscillatory) halflinear second order differential equation (∗) ( r(t)Φ(x) ) ′ + c(t)Φ(x) = 0 , Φ(x) := |x|x , p > 1 and we show that if (*) is regular, a… (More)
We establish a Hartman type asymptotic formula for nonoscillatory solutions of the half-linear second order differential equation ( r(t)Φ(y′) )′ + c(t)Φ(y) = 0 , Φ(y) := |y|p−2y , p > 1 .
We study the generalized half-linear second order differential equation and the associated Riccati type differential equation. We introduce the concepts of minimal and principal solutions of these… (More)