On the behavior of Kneser solutions of nonlinear ordinary differential equations

Abstract

We obtain priory estimates and sufficient conditions for Kneser solutions of ordinary differential equations to vanish in a neighborhood of infinity.1991 Mathematics Subject Classification. 34A34, 34A40, 34C11, 34C41. Key words and phrases. Nonlinear ordinary differential equations; Kneser solutions; Singular solutions of the first kind.