Oscillation criterion for half-linear differential equations with periodic coefficients

被引：11

作者：

Dosly, O. ^{[1
]}

Ozbekler, A. ^{[2
]}

Simon Hilscher, R. ^{[1
]}

机构：

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

[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 393卷 / 02期

关键词：

Oscillation; Half-linear equation; Periodic coefficients; Modified Riccati equation; Hill's equation; NONOSCILLATION;

D O I：

10.1016/j.jmaa.2012.03.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present an oscillation criterion for second order half-linear differential equations with periodic coefficients. The method is based on the nonexistence of a proper solution of the related modified Riccati equation. Our result can be regarded as an oscillatory counterpart to the nonoscillation criterion by Sugie and Matsumura (2008). These two theorems provide a complete half-linear extension of the oscillation criterion of Kwong and Wong (2003) dealing with the Hill's equation. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：360 / 366

页数：7

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