| 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 |
| DOI： |
| 投稿时间：2009-03-06修订日期：2009-05-18 |
| 基金项目:This work was supported by the National Natural Science Foundation of China(No.10572011 and 10871074);the Science Foundation of Guangxi Province,China(No.0832244) |
|
| Necessary and Sufficient Condition for Oscillation of Second Order Nonlinear Delay Differential Equations with Impulses |
|
JIANG Gui-rong1,2
|
| (1.School of Mathematical Sciences, South China University of Technology, Guangzhou, Guangdong, 510640, China;2.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. |
| Key words: differential equation impulse oscillation |
