Oscillation and nonoscillation of perturbed half-linear Euler differential equations

被引：0

作者：

Dosly, Ondrej

Reznickova, Jana

机构：

[1] Masaryk Univ, Dept Math & Stat, CZ-60200 Brno, Czech Republic

[2] Tomas Bata Univ, Dept Math, Zlin 76005, Czech Republic

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2007年 / 71卷 / 3-4期

关键词：

Euler half-linear equation; perturbation principle; (non)principal solution; variational principle; Riccati technique;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using general results for (non) oscillation of the second order half-linear differential equation (r(t)Phi(x'))' + c(t)Phi(x) = 0, Phi(x) := |x|(p-2)x, p > 1, (*) we establish new oscillation and nonoscillation criteria for the perturbed half-lineax Euler differential equation (Phi(x'))' + [gamma(p)/t(p) + c(t)] Phi(x) = 0, gamma(p) := (p-1/p)(p).

引用

页码：479 / 488

页数：10

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