On properties of solutions of a class of nonlinear ordinary differential equations

被引：0
|
作者：
Kon'kov A.A.
机构：
来源：
Journal of Mathematical Sciences | 2007年 / 143卷 / 4期
关键词：
Positive Integer; Real Number; Asymptotic Property; Nontrivial Solution; Regular Solution;
D O I：
10.1007/s10958-007-0210-6
中图分类号：
学科分类号：
摘要：
In this paper, ordinary differential equations of the form w(m) = Q(r,w,...,w(m - 1)), r > a, are considered, where m ≥ 2 and the function Q belongs to the Caratheodory class K loc([a, ∞) × ℝm), a > 0. We obtain sufficient conditions for Kneser and rapidly growing solutions to be singular. © Springer Science+Business Media, Inc. 2007.
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页码：3303 / 3321
页数：18
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