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

Stability of Zero Solution for Volterra Systems With Variable Delays

doi: 10.21656/1000-0887.410233
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
  • 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.
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