On the asymptotic behavior of nonoscillatory solutions of second order quasilinear ordinary differential equations

被引：9

作者：

Naito, Manabu ^{[1
]}

机构：

[1] Ehime Univ, Fac Sci, Dept Math, Matsuyama, Ehime 7908577, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 381卷 / 01期

关键词：

Quasilinear ordinary differential equations; Asymptotic forms of solutions; OSCILLATION; THEOREMS;

D O I：

10.1016/j.jmaa.2011.04.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper second order quasilinear ordinary differential equations are considered, and a necessary and sufficient condition for the existence of a slowly growing positive solution is established. Moreover, the precise asymptotic forms as t -> infinity of slowly growing positive solutions and slowly decaying positive solutions are obtained. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：315 / 327

页数：13

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