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Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays
Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays
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Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays
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Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays
Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays

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Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays
Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays
Journal Article

Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays

2019
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Overview
This paper reports the boundedness and stability of highly nonlinear hybrid neutral stochastic differential delay equations (NSDDEs) with multiple delays. Without imposing linear growth condition, the boundedness and exponential stability of the exact solution are investigated by Lyapunov functional method. In particular, using the M-matrix technique, the mean square exponential stability is obtained. Finally, three examples are presented to verify our results.