Note About Asymptotic Behaviour of Positive Solutions of Superlinear Differential Equation of Emden-Fowler Type at Zero

Marija Mikić

We study the asymptotic behavior of solutions of the differential equation of Emden-Fowler type $$y''- x^{a}y^{igma}=0,$$ where $a\in\mathbb{R}$, $\sigma>1$. We prove some of theorems on asymptotic properties of solutions and obtain asymptotic formulas for solutions near zero.