多变时滞Volterra系统零解的稳定性  

Stability of Zero Solution for Volterra Systems With Variable Delays

作　　者：黄明辉 金楚华[2] HUANG Minghui;JIN Chuhua(Mathematics Teaching and Research Section,Guangzhou City Construction College,Guangzhou 510925,P.R.China;School of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,P.R.China)

机构地区：[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

出　　处：《应用数学和力学》2021年第3期308-315,共8页Applied Mathematics and Mechanics

基　　金：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.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.

关 键 词：BANACH不动点定理 稳定性 多变时滞Volterra系统 

分 类 号：O175.14[理学—数学]