Periodic solution problems of neutral-type stochastic neural networks with time-varying delays
This paper is devoted to investigating a class of stochastic neutral-type neural networks with delays. By using the fixed point theorem and the properties of neutral-type operator, we obtain the existence conditions for periodic solutions of stochastic neutral-type neural networks. Furthermore, we o...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2024-04-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2024.1338799/full |
| _version_ | 1797221832777007104 |
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| author | Famei Zheng Xiaoliang Li Bo Du |
| author_facet | Famei Zheng Xiaoliang Li Bo Du |
| author_sort | Famei Zheng |
| collection | DOAJ |
| description | This paper is devoted to investigating a class of stochastic neutral-type neural networks with delays. By using the fixed point theorem and the properties of neutral-type operator, we obtain the existence conditions for periodic solutions of stochastic neutral-type neural networks. Furthermore, we obtain the conditions for the exponential stability of periodic solutions using Gronwall-Bellman inequality and stochastic analysis technique. Finally, a numerical example is given to show the effectiveness and merits of the present results. Our results can be used to obtain the existence and exponential stability of periodic solution to the corresponding deterministic systems. |
| first_indexed | 2024-04-24T13:11:42Z |
| format | Article |
| id | doaj.art-68826b82681e479e983b81ddb7913eb9 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-24T13:11:42Z |
| publishDate | 2024-04-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-68826b82681e479e983b81ddb7913eb92024-04-05T04:26:19ZengFrontiers Media S.A.Frontiers in Physics2296-424X2024-04-011210.3389/fphy.2024.13387991338799Periodic solution problems of neutral-type stochastic neural networks with time-varying delaysFamei Zheng0Xiaoliang Li1Bo Du2School of Mathematics and Statistics, Huaiyin Normal University, Huaian, Jiangsu, ChinaJiyang College, Zhejiang Agriculture and Forestry University, Zhuji, Zhejiang, ChinaSchool of Mathematics and Statistics, Huaiyin Normal University, Huaian, Jiangsu, ChinaThis paper is devoted to investigating a class of stochastic neutral-type neural networks with delays. By using the fixed point theorem and the properties of neutral-type operator, we obtain the existence conditions for periodic solutions of stochastic neutral-type neural networks. Furthermore, we obtain the conditions for the exponential stability of periodic solutions using Gronwall-Bellman inequality and stochastic analysis technique. Finally, a numerical example is given to show the effectiveness and merits of the present results. Our results can be used to obtain the existence and exponential stability of periodic solution to the corresponding deterministic systems.https://www.frontiersin.org/articles/10.3389/fphy.2024.1338799/fullperiodic solutionstochasticneutral-type neural networksexistenceexponential stability |
| spellingShingle | Famei Zheng Xiaoliang Li Bo Du Periodic solution problems of neutral-type stochastic neural networks with time-varying delays Frontiers in Physics periodic solution stochastic neutral-type neural networks existence exponential stability |
| title | Periodic solution problems of neutral-type stochastic neural networks with time-varying delays |
| title_full | Periodic solution problems of neutral-type stochastic neural networks with time-varying delays |
| title_fullStr | Periodic solution problems of neutral-type stochastic neural networks with time-varying delays |
| title_full_unstemmed | Periodic solution problems of neutral-type stochastic neural networks with time-varying delays |
| title_short | Periodic solution problems of neutral-type stochastic neural networks with time-varying delays |
| title_sort | periodic solution problems of neutral type stochastic neural networks with time varying delays |
| topic | periodic solution stochastic neutral-type neural networks existence exponential stability |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2024.1338799/full |
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