多变时滞Volterra系统零解的稳定性

黄明辉; 金楚华

doi:10.21656/1000-0887.410233

多变时滞Volterra系统零解的稳定性

doi: 10.21656/1000-0887.410233

黄明辉¹,
金楚华²

¹广州城建职业学院数学教研室, 广州 510925
²广东工业大学应用数学学院, 广州 510090

基金项目: 国家自然科学基金（61773128）

详细信息

作者简介:
黄明辉（1988—），男，讲师，硕士（通讯作者. E-mail: 249596697@qq.com）;金楚华（1967—），男，副教授，硕士生导师（E-mail: 3433960957@qq.com）.

中图分类号: O175.14
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- 被引次数: 0
出版历程
- 收稿日期: 2020-08-05
- 修回日期: 2020-09-07
- 刊出日期: 2021-03-01

Stability of Zero Solution for Volterra Systems With Variable Delays

HUANG Minghui¹,
JIN Chuhua²

¹Mathematics Teaching and Research Section, Guangzhou City Construction College, Guangzhou 510925, P.R.China
²School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510090, P.R.China

Funds: The National Natural Science Foundation of China（61773128）

摘要

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.
- Banach不动点定理 /
- 稳定性 /
- 多变时滞Volterra系统
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.
- Banach fixed point theorem /
- stability /
- Volterra system with variable delays

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参考文献(19)

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