CONDITIONAL OSCILLATION OF HALF-LINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS

被引:0
|
作者
Hasil, Petr [1 ]
机构
[1] Masaryk Univ, Dept Math & Stat, Janackovo Nam 2A, Brno 60200, Czech Republic
来源
ARCHIVUM MATHEMATICUM | 2008年 / 44卷 / 02期
关键词
oscillation theory; conditional oscillation; half-linear differential equations;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that the half-linear differential equation (*) [r(t)Phi(x')]' + s(t)/t(p) Phi (x) = 0 with alpha-periodic positive functions r, s is conditionally oscillatory, i.e., there exists a constant K > 0 such that (*) with gamma s(t)/t(p) instead of s(t)/t(p) is oscillatory for gamma > K and nonoscillatory for gamma < K.
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页码:119 / 131
页数:13
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