Note About Asymptotic Behaviour of Positive Solutions of Superlinear Differential Equation of Emden-Fowler Type at Zero
Kragujevac Journal of Mathematics, Tome 40 (2016) no. 1, p. 105 .

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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.
Classification : 34E10 34C41
Keywords: Superlinear Emden-Fowler differential equation, asymptotic behavior of solutions, asymptotic equivalence.
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     author = {Marija Miki\'c},
     title = {Note {About} {Asymptotic} {Behaviour} of {Positive} {Solutions} of {Superlinear} {Differential} {Equation} of {Emden-Fowler} {Type} at {Zero}},
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Marija Mikić. Note About Asymptotic Behaviour of Positive Solutions of Superlinear Differential Equation of Emden-Fowler Type at Zero. Kragujevac Journal of Mathematics, Tome 40 (2016) no. 1, p. 105 . http://geodesic.mathdoc.fr/item/KJM_2016_40_1_a8/