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Oscillation criteria for a first-order impulsive neutral differential equation of Euler form

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成果类型:
期刊论文
作者:
Guan, Kaizhong*;Shen, Jianhua
通讯作者:
Guan, Kaizhong
作者机构:
[Guan, Kaizhong] Univ S China, Res Inst Math, Hengyang 421001, Hunan, Peoples R China.
[Shen, Jianhua] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China.
通讯机构:
[Guan, Kaizhong] U
Univ S China, Res Inst Math, Hengyang 421001, Hunan, Peoples R China.
语种:
英文
关键词:
Oscillation;Neutral differential equation;Impulsive;Euler form;Variable delay
期刊:
Computers & Mathematics with Applications
ISSN:
0898-1221
年:
2009
卷:
58
期:
4
页码:
670-677
基金类别:
This work is partly supported by NNSF of China (no. 10771094).
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
摘要:
In this paper, we are concerned with the oscillation of a first-order impulsive neutral differential equation of Euler form with variable delays. Our results reveal the fact that the oscillatory behavior of all solutions of differential equations without impulses can be inherited by impulsive differential equations under certain impulsive perturbations. It is also seen that the oscillatory properties of all solutions of impulsive differential equations may be caused by the impulsive perturbations, though the corresponding differential equations...

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