Power comparison theorems in half-linear oscillation theory

被引：12

作者：

Dosly, Ondrej ^{[1
]}

Fisnarova, Simona ^{[2
]}

Marik, Robert ^{[2
]}

机构：

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

[2] Mendel Univ Brno, Dept Math, CZ-61300 Brno, Czech Republic

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 401卷 / 02期

关键词：

Half-linear differential equation; Oscillation and nonoscillation criteria; Riccati technique; Conditional oscillation; 2ND-ORDER DIFFERENTIAL-EQUATIONS; PRINCIPAL SOLUTION;

D O I：

10.1016/j.jmaa.2012.12.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We compare oscillatory behavior of two half-linear differential equations with different powers by the homogeneous functions appearing in these equations. Our results generalize and extend several previously proved power comparison theorems. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：611 / 619

页数：9

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