Oscillation criteria for second order nonlinear differential equation with damping

被引：0

作者：

Luo, H ^{[1
]}

Zhuang, RK

Guo, XM

机构：

[1] Huizhou Coll, Dept Math, Huizhou 516015, Guangdong, Peoples R China

[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2005年 / 26卷 / 04期

关键词：

second order nonlinear differential equation with damping; oscillation; Riccati transformation; integral averaging technique;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By the generalized Riccati transformation and the integral averaging technique, some. sufficient conditions of oscillation of. the solutions for second. order nonlinear differential equations with damping were discussed. Some sufficient oscillation criteria for previous equations were built up. Some oscillation criteria have been expanded and strengthened in some other known results.

引用

页码：441 / 448

页数：8

共 9 条

[1]

Hartman P., 1952, AM J MATH, V74, P389

[2]

Kamenev I. V., 1978, Mat. Zametki, V23, P249

[3] Oscillation results for a second order damped differential equation with nonmonotonous nonlinearity [J].

Kirane, M ;

Rogovchenko, YV .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 250 (01) :118-138

[4] OSCILLATION CRITERIA FOR 2ND-ORDER LINEAR-DIFFERENTIAL EQUATIONS [J].

LI, HJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 194 (01) :217-234

[5]

Li WT, 1999, INDIAN J PURE AP MAT, V30, P1017

[6]

PHILOS CG, 1989, ARCH MATH, V53, P489

[7]

WANG QR, 2001, ACTA MATH SINICA, V44, P371

[8]

WONG JSW, 1968, FUNKC EKVACIOJ-SER I, V11, P207

[9] OSCILLATION THEOREMS FOR 2ND-ORDER LINEAR-DIFFERENTIAL EQUATIONS WITH DAMPING [J].

YAN, JR .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 98 (02) :276-282

← 1 →