MMN-2019
Note on asymptotical behavior of solutions of Emden-Fowler equation and the existence and uniqueness of solution of some Cauchy problem
Dorde Krtinic; Marija Mikic;Abstract
We study differential equation of Emden-Fowler type
$$y'' - x^{a}y^{\sigma}=0,\quad\mbox{for $a\in\mathbb{R}$ and $\sigma<0$.}$$
We describe the conditions on parameters $a$ and $\sigma$ which
assure that this equation has infinitely many solutions defined in
some neighborhood of zero and the conditions which guarantee
existence of infinitely solutions with certain asymptotic
behavior.
Vol. 18 (2017), No. 1, pp. 285-294