Stability of Neutral Volterra Stochastic Dynamical Systems With Multiple Delays

WANG Chunsheng

doi:10.21656/1000-0887.410323

Volume 42 Issue 11

Nov. 2021

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WANG Chunsheng. Stability of Neutral Volterra Stochastic Dynamical Systems With Multiple Delays[J]. Applied Mathematics and Mechanics, 2021, 42(11): 1190-1202. doi: 10.21656/1000-0887.410323

Citation:

WANG Chunsheng. Stability of Neutral Volterra Stochastic Dynamical Systems With Multiple Delays[J]. Applied Mathematics and Mechanics, 2021, 42(11): 1190-1202. doi: 10.21656/1000-0887.410323

Citation:

WANG Chunsheng. Stability of Neutral Volterra Stochastic Dynamical Systems With Multiple Delays[J]. Applied Mathematics and Mechanics, 2021, 42(11): 1190-1202. doi: 10.21656/1000-0887.410323

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Stability of Neutral Volterra Stochastic Dynamical Systems With Multiple Delays

doi: 10.21656/1000-0887.410323

WANG Chunsheng

Department of Management, Software Engineering Institute of Guangzhou, Guangzhou 510990, P.R.China

Received Date: 2020-10-23
Rev Recd Date: 2021-03-30

Available Online: 2021-12-07

Publish Date: 2021-11-30

Abstract

Abstract

A class of nonlinear stochastic integro-differential dynamical systems were discussed, the necessary and sufficient conditions for the mean-square asymptotic stability of the zero solution to the system were given by means of the Banach fixed point method, and a mean-square asymptotic stability theorem for neutral Volterra stochastic integro-differential dynamical systems with multiple delays was established. Unlike the previous research methods, according to the characteristics of each time delay of the stochastic dynamical system with multiple time delays, the operators were constructed through introduction of the corresponding functions, and then the stability of the system was studied with the Banach fixed point method. The conclusion improves and develops the results of several related research papers to a certain extent. In addition, the results obtained supplement and extend those of the fixed point method in study of the stability of zero solutions to nonlinear neutral variable-delay Volterra stochastic integro-differential dynamical systems.
- Banach fixed point,
- non-linearity,
- mean-square asymptotic stability,
- some variable delays,
- neutral Volterra stochastic integrodifferential dynamic system

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References(16)

References

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