OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING

Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (4): 441-448 .

OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING

罗辉, 庄容坤, 郭兴明

收稿日期:2003-10-25 修回日期:2004-12-03 出版日期:2005-04-18 发布日期:2005-04-18
通讯作者: 罗辉

OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING

LUO Hui, ZHUANG Rong-kun, GUO Xing-ming

1. Department of Mathematics, Huizhou College， Huizhou 516015, Guangdong Province, P.R.China;
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University， Shanghai 200072, P.R.China

Received:2003-10-25 Revised:2004-12-03 Online:2005-04-18 Published:2005-04-18
Contact: LUO Hui

摘要/Abstract

Abstract: 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.

Key words: oscillation, Riccati transformation, integral averaging technique, second order nonlinear differential equation with damping

中图分类号:

O175
34C10

罗辉;庄容坤;郭兴明. OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(4): 441-448 .

LUO Hui;ZHUANG Rong-kun;GUO Xing-ming. OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(4): 441-448 .

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OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING

OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING

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