Interval oscillation criteria for second order neutral nonlinear differential equations

被引：6

作者：

Zhuang, RK

Li, WT ^{[1
]}

机构：

[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Gansu, Peoples R China

[2] Huizhou Univ, Dept Math, Huizhou 516015, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 157卷 / 01期

关键词：

oscillation; nonlinear differential equation; neutral type; Riccati transformation; interval criteria;

D O I：

10.1016/j.amc.2003.06.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some oscillation criteria for the second order neutral nonlinear differential equation [y(t) + p(t)y(sigma(t))](11) + (n)Sigma(i=1) q(i)(t)f(i)(y(tau(i)(t)) = 0, tgreater than or equal tot(0) are established. New oscillation criteria are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t(0),infinity), rather than on the whole half-line. Our results are more natural according to the Sturm Separation Theorem. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：39 / 51

页数：13

共 23 条

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El-Sayed M., 1982, P AM MATH SOC, V24, P169

[2]

ERBE LH, 1972, CAN MATH B, V16, P49

[3] OSCILLATION THEOREMS FOR NONLINEAR DIFFERENTIAL-EQUATIONS OF 2ND-ORDER [J].