| 多变时滞Volterra系统零解的稳定性 |
| |
| 引用本文： | 黄明辉,金楚华. 多变时滞Volterra系统零解的稳定性[J]. 应用数学和力学, 2021, 42(3): 308-315. DOI: 10.21656/1000-0887.410233 |
| |
| 作者姓名： | 黄明辉 金楚华 |
| |
| 作者单位： | 1广州城建职业学院 数学教研室, 广州 510925 |
| |
| 基金项目： | 国家自然科学基金（61773128） |
| |
| 摘 要： | 分析了一类多变时滞Volterra系统.采用Banach不动点定理,并在一定条件下构造适当的压缩映射,得到了系统零解稳定性定理.所得定理改进了已有文献中的结论,并对该定理给出严格证明.最后,通过数值仿真实例验证了结论的有效性.
|
| 关 键 词： | Banach不动点定理 稳定性 多变时滞Volterra系统 |
| 收稿时间： | 2020-08-05 |
Stability of Zero Solution for Volterra Systems With Variable Delays |
| |
| Affiliation: | 1Mathematics Teaching and Research Section, Guangzhou City Construction College, Guangzhou 510925, P.R.China2School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510090, P.R.China |
| |
| Abstract: | A class of Volterra systems with variable delays were analyzed. By means of the Banach fixed point theorem and through construction of appropriate contractive mappings under certain conditions, the stability theorem for zero solution of the system was obtained. The strictly proved theorem improves related conclusions in previous literatures. Finally, the effectiveness of the work was verified with a simulation example. |
| |
| Keywords: | Stability Banach fixed point theorem Volterra system with variable delays |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学》下载免费的PDF全文 |
