New oscillation criteria of second-order nonlinear differential equations

被引：11

作者：

Long, Qi ^{[1
]}

Wang, Qi-Ru ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 212卷 / 02期

关键词：

Nonlinear differential equations; Second-order; Oscillation; Interval criteria; Generalized Riccati technique; INTERVAL CRITERIA;

D O I：

10.1016/j.amc.2009.02.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By employing a class of new functions Phi = Phi(t,s,l) and a generalized Riccati technique, some new oscillation and interval oscillation criteria are established for the second-order nonlinear differential equation (r(t)y'(t))' + Q(t,y(t),y'(t)) = 0 The obtained interval oscillation criteria can be applied to equations with forcing term. Two examples are also included to show the significance of our results. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：357 / 365

页数：9

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