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一类二阶非线性脉冲时滞微分方程振动的充要条件
引用本文:蒋贵荣. 一类二阶非线性脉冲时滞微分方程振动的充要条件[J]. 广西科学, 2009, 16(3): 246-252
作者姓名:蒋贵荣
作者单位:华南理工大学数学学院,广东广州,510640;桂林电子科技大学数学与计算科学学院,广西桂林,541004
基金项目:国家自然科学基金,广西省自然科学基金
摘    要:利用压缩映射原理和微分不等式,得到一类二阶非线性脉冲时滞微分方程振动的1个充要条件.

关 键 词:微分方程  脉冲  振动
收稿时间:2009-03-06
修稿时间:2009-05-18

Necessary and Sufficient Condition for Oscillation of Second Order Nonlinear Delay Differential Equations with Impulses
JIANG Gui-rong. Necessary and Sufficient Condition for Oscillation of Second Order Nonlinear Delay Differential Equations with Impulses[J]. Guangxi Sciences, 2009, 16(3): 246-252
Authors:JIANG Gui-rong
Affiliation:JIANG Gui-rong (1. School of Mathematical Sciences, South China University of Technology, Guangzhou, Guangdong, 510640,Chinas2. School of Mathematics and Computing Science,Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China)
Abstract:A necessary and sufficient condition for the oscillation of solutions of a class of second order nonlinear delay differential equations with impulses is obtained by using the contraction mapping principle and some differential inequalities.
Keywords:differential equation  impulse  oscillation
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