OSCILLATION CRITERIA OF DIFFERENTIAL EQUATIONS OF SECOND ORDER

被引：0
|
作者：
Kim, Rak Joong [1 ]
机构：
[1] Hallym Univ, Dept Math, Chunchon 200702, Gangwon Do, South Korea
来源：
KOREAN JOURNAL OF MATHEMATICS | 2011年 / 19卷 / 03期
关键词：
oscillation property; nonoscillation; sturm majorant; functional differential equation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give sufficient conditions that the homogeneous differential equations : for t >= t(0) (> 0), x ''(t) + q(t)x'(t) + p(t)x(t) = 0, x ''(t) +q(t)x'(t) + F(t, x(phi(t))) = 0 are oscillatory where 0 <= phi(t), 0 < phi'(t), lim(t ->infinity) phi(t) = infinity and F(t, u). sgn u >= p(t)vertical bar u vertical bar. We obtain comparison theorems.
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页码：309 / 319
页数：11
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