Advanced Search

Asymptotic forms of solutions of half-linear ordinary differential equation $\left(\right|u^{\text{'}}{|}^{\alpha -1}{u}^{\text{'}}{)}^{\text{'}}=\alpha (1+b\left(t\right)){\left|u\right|}^{\alpha -1}u$ are investigated under a smallness condition and some signum conditions on $b\left(t\right)$. When $\alpha =1$, our results reduce to well-known ones for linear ordinary differential equations.