On the existence of eventually positive solutions of fourth-order quasilinear differential equations

被引：14
|
作者：
Naito, M [1 ]
Wu, FT
机构：
[1] Ehime Univ, Fac Sci, Dept Math Sci, Matsuyama, Ehime 7908577, Japan
[2] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 57卷 / 02期
关键词：
oscillation theory; eventually positive solutions; quasilinear differential equations;
D O I：
10.1016/j.na.2004.02.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The fourth-order quasilinear differential equation (\u"\(alpha-1)u")" + q(t)\u\(beta-1)u = 0 (1.1) is considered under the assumptions that alpha > 0, beta > 0 and q(t) is a positive continuous function on an interval [a, infinity), a > 0, and the necessary and sufficient integral conditions for the existence of eventually positive solutions of (1.1) are established. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：253 / 263
页数：11
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