Precise asymptotic behavior of solutions of the sublinear Emden-Fowler differential equation

被引：17
作者：
Takasi, Kusano [2 ]
Manojlovic, Jelena [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, Dept Math & Comp Sci, Nish 18000, Serbia
[2] Fukuoka Univ, Fac Sci, Dept Appl Math, Fukuoka 8140180, Japan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 09期
关键词：
Emden-Fowler differential equations; Regularly varying solutions; Slowly varying solutions; Asymptotic behavior of solutions;
D O I：
10.1016/j.amc.2010.09.061
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to show that if the sublinear Emden-Fowler differential equation x ''(t) + q(t)vertical bar x(t)vertical bar(gamma) sgnx(t) = 0, 0 < gamma < 1, (A) with regularly varying coefficient q(t) is studied in the framework of regular variation, not only necessary and sufficient conditions for the existence of nontrivial regularly varying solutions of (A) can be established, but also precise information can be acquired about the asymptotic behavior at infinity of these solutions. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：4382 / 4396
页数：15
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