β-Stability in q-th Moment of Neutral Impulsive Stochastic Functional Differential Equations with Markovian Switching
In this paper, we investigate the β-stability in q-th moment for neutral impulsive stochastic functional differential equations with Markovian switching (NISFDEwMS). Moreover, β-stability in q-th moment is studied by using the Lyapunov techniques and a new Razumikhin-type theorem to prove our result...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2021-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/9975897 |
| Summary: | In this paper, we investigate the β-stability in q-th moment for neutral impulsive stochastic functional differential equations with Markovian switching (NISFDEwMS). Moreover, β-stability in q-th moment is studied by using the Lyapunov techniques and a new Razumikhin-type theorem to prove our result. Finally, we check the main result by a numerical example. |
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| ISSN: | 1563-5147 |