Abstract
AbstractWe discuss sublinear differential equations of the Emden–Fowler type $x''=q(t) x^{\gamma }$
x
″
=
q
(
t
)
x
γ
under the assumption that the coefficient q is a rapidly varying function. We show that all of their strongly decreasing and strongly increasing solutions are rapidly varying functions and are in the asymptotic equivalence relation with a precisely defined function determined by the coefficient q.
Publisher
Springer Science and Business Media LLC