Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument

被引：14

作者：

Bartusek, Miroslav ^{[1
]}

Cecchi, Mariella ^{[2
]}

Dosla, Zuzana ^{[1
]}

Marini, Mauro ^{[2
]}

机构：

[1] Masaryk Univ, Dept Math & Stat, CZ-61137 Brno, Czech Republic

[2] Univ Florence, Dept Elect & Telecommun, I-50139 Florence, Italy

来源：

ABSTRACT AND APPLIED ANALYSIS | 2010年

关键词：

EXISTENCE; CRITERIA;

D O I：

10.1155/2010/278962

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study necessary and sufficient conditions for the oscillation of the third-order nonlinear ordinary differential equation with damping term and deviating argument x(m)(t) + q(t)x'(t) + r(t) f(x(phi(t))) = 0. Motivated by the work of Kiguradze (1992), the existence and asymptotic properties of nonoscillatory solutions are investigated in case when the differential operator Lx = x(m) + q(t)x' is oscillatory.

引用

页数：19

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