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.
Keywords: Superlinear Emden-Fowler differential equation, asymptotic behavior of solutions, asymptotic equivalence.
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/
@article{KJM_2016_40_1_a8,
author = {Marija Miki\'c},
title = {Note {About} {Asymptotic} {Behaviour} of {Positive} {Solutions} of {Superlinear} {Differential} {Equation} of {Emden-Fowler} {Type} at {Zero}},
journal = {Kragujevac Journal of Mathematics},
pages = {105 },
year = {2016},
volume = {40},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2016_40_1_a8/}
}
TY - JOUR AU - Marija Mikić TI - Note About Asymptotic Behaviour of Positive Solutions of Superlinear Differential Equation of Emden-Fowler Type at Zero JO - Kragujevac Journal of Mathematics PY - 2016 SP - 105 VL - 40 IS - 1 UR - http://geodesic.mathdoc.fr/item/KJM_2016_40_1_a8/ LA - en ID - KJM_2016_40_1_a8 ER -