具连续偏差变元的二阶阻尼微分方程的振动性

doi:10.7523/j.issn.2095-6134.2012.5.003

中国科学院大学学报 ›› 2012, Vol. 29 ›› Issue (5): 594-598.DOI: 10.7523/j.issn.2095-6134.2012.5.003

具连续偏差变元的二阶阻尼微分方程的振动性

林文贤

韩山师范学院数学与应用数学系, 广东潮州 521041

收稿日期:2011-04-25 修回日期:2011-06-27 发布日期:2012-09-15
通讯作者: 林文贤

Oscillation for certain second-order damped differential equations with continuous deviating arguments

LIN Wen-Xian

Department of Mathematics and Applied Mathematics, Hanshan Normal University, Chaozhou 521041, Guangdong, China

Received:2011-04-25 Revised:2011-06-27 Published:2012-09-15

摘要/Abstract

摘要： 获得一类具有连续偏差变元的非线性二阶阻尼泛函微分方程所有解振动的若干充分条件. 所得结果包含和推广了已有文献中的相关结论,并给出2个应用实例.

关键词: 阻尼项, 中立型方程, 振动性, 连续偏差变元

Abstract: We obtain sufficient conditions for the oscillation of all solutions of the nonlinear second-order damped functional differential equations with continuous deviating arguments. This work generalizes and improves some known results. The main results are illustrated by two examples.

Key words: damping terms, neutral differential equation, oscillation, continuous deviating arguments

中图分类号:

O175.13

林文贤. 具连续偏差变元的二阶阻尼微分方程的振动性[J]. 中国科学院大学学报, 2012, 29(5): 594-598.

LIN Wen-Xian. Oscillation for certain second-order damped differential equations with continuous deviating arguments[J]. , 2012, 29(5): 594-598.

[1]	杨甲山. 时间测度链上具非线性中立项的二阶动力方程的振动性[J]. 中国科学院大学学报, 2012, (6): 731-737.
[2]	林文贤. 一类具有扩散系数和连续偏差变元的中立型偶阶偏泛函微分方程的振动性[J]. 中国科学院大学学报, 2012, (6): 738-742.

具连续偏差变元的二阶阻尼微分方程的振动性

Oscillation for certain second-order damped differential equations with continuous deviating arguments

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