Kneser Solutions of Higher-Order Quasilinear Ordinary Differential Equations

Abstract

In this paper we discuss the existence and asymptotic behavior of Kneser solutions of nth-order two term quasilinear ordinary differential equations which are generalizations of the Emden-Fowler equation. It will be shown that there is a simple and significant difference between the super-homogeneous case and the sub-homogeneous case for the existence and asymptotic behavior of Kneser solutions of these equations.