| 摘要: |
| 考虑如下无限时滞微分方程:x'(t)+λx(t)=F(t,xt),其中λ>0,F:[0,∞)×BC(H)→ R连续,获得了零解一致稳定与一致渐近稳定的充分条件,推广了文献[5]的结果. |
| 关键词: 无限时滞 一致稳定性 一致渐近稳定性 |
| DOI： |
| 投稿时间：1999-07-09修订日期：1999-11-16 |
| 基金项目:广西民族学院科研基金资助项目。 |
|
| Uniformly Asymptotic Stability for Certain Differential Equations with Infinite Delay |
|
Chen Wuhua
|
| (Dept. of Math., Guangxi Institute for Nationalities, Xixiangtang, Nanning, Guangxi, 530006, China) |
| Abstract: |
| Consider the following equation:x'(t)+λx(t)=F(t,xt), where λ>0,F:[0,∞)×BC(H)→ R continuous, we obtain sufficient conditions for the uniform stability and uniformly asymptotic stability of the zero solution of the equation,the results in paper[5] are extended. |
| Key words: infinite delay uniform stability uniformly asymptotic stability |
