Oscillation of higher-order forced nonlinear differential equations

被引：5

作者：

Sun, Y. G. ^{[1
]}

Mingarelli, A. B.

机构：

[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China

[2] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 01期

基金：

中国国家自然科学基金;

关键词：

oscillation; forced oscillation; nonlinear equation; Young's inequality;

D O I：

10.1016/j.amc.2007.01.083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some new criteria are established for the oscillation of higher-order forced nonlinear differential equations by introducing a class of new auxiliary functions. No restriction is imposed on the forcing term as is generally assumed. With the help of the new auxiliary functions, the main results in this paper are different from those in the paper [Y.G. Sun, S.H. Saker, Forced oscillation of higher-order nonlinear differential equations, Appl. Math. Comput. 173 (2006) 1219-1226] and are more effective than many existing results. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：905 / 911

页数：7