Stability of Zero Solution for Volterra Systems With Variable Delays

HUANG Minghui; JIN Chuhua

doi:10.21656/1000-0887.410233

Volume 42 Issue 3

Mar. 2021

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HUANG Minghui, JIN Chuhua. Stability of Zero Solution for Volterra Systems With Variable Delays[J]. Applied Mathematics and Mechanics, 2021, 42(3): 308-315. doi: 10.21656/1000-0887.410233

Citation:

HUANG Minghui, JIN Chuhua. Stability of Zero Solution for Volterra Systems With Variable Delays[J]. Applied Mathematics and Mechanics, 2021, 42(3): 308-315. doi: 10.21656/1000-0887.410233

Citation:

HUANG Minghui, JIN Chuhua. Stability of Zero Solution for Volterra Systems With Variable Delays[J]. Applied Mathematics and Mechanics, 2021, 42(3): 308-315. doi: 10.21656/1000-0887.410233

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Stability of Zero Solution for Volterra Systems With Variable Delays

doi: 10.21656/1000-0887.410233

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）

Received Date: 2020-08-05
Rev Recd Date: 2020-09-07
Publish Date: 2021-03-01

Abstract

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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References(19)

References

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