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二阶非线性脉冲时滞微分方程的振动性
引用本文:张云霞. 二阶非线性脉冲时滞微分方程的振动性[J]. 数学的实践与认识, 2007, 37(20): 210-214
作者姓名:张云霞
作者单位:山西财政税务专科学校,山西,太原,030024
摘    要:利用广义黎卡提变换得到了一类二阶非线性脉冲时滞微分方程所有解振动的充分条件,推广了Dz∨urina和Stavroulakis中关于非脉冲方程的相关结果.

关 键 词:广义黎卡提变换  脉冲时滞微分方程  振动
修稿时间:2007-04-03

Oscillation of Second order Nonlinear Impulsive Delay Differential Equations
ZHANG Yun-xia. Oscillation of Second order Nonlinear Impulsive Delay Differential Equations[J]. Mathematics in Practice and Theory, 2007, 37(20): 210-214
Authors:ZHANG Yun-xia
Abstract:Sufficient condtion for oscillation of all solutions of a class of second order nonlinear impulsive delay differential equation is obtained by using generalized Ricatti transform,which extend the corresponding results of Dzˇurina and Stavroulakis [Appl Math Comput,2003,140,445—453] for equations without impulsive effects.
Keywords:generalized Ricatti transform  impulsive delay differential equation  oscillation
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