Piecewise pseudo almost periodic solutions of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations
This paper is concerned with piecewise pseudo almost periodic solutions of a class of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations. By adopting the exponential dichotomy of linear differential equations and the fixed point theory of contraction mapp...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231113?viewType=HTML |
| _version_ | 1827893425756700672 |
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| author | Yanshou Dong Junfang Zhao Xu Miao Ming Kang |
| author_facet | Yanshou Dong Junfang Zhao Xu Miao Ming Kang |
| author_sort | Yanshou Dong |
| collection | DOAJ |
| description | This paper is concerned with piecewise pseudo almost periodic solutions of a class of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations. By adopting the exponential dichotomy of linear differential equations and the fixed point theory of contraction mapping. The sufficient conditions for the existence of piecewise pseudo almost periodic solutions of the interval general BAM neural networks with mixed time-varying delays and impulsive perturbations are obtained. By adopting differential inequality techniques and mathematical methods of induction, the global exponential stability for the piecewise pseudo almost periodic solutions of the interval general BAM neural networks with mixed time-varying delays and impulsive perturbations is discussed. An example is given to illustrate the effectiveness of the results obtained in the paper. |
| first_indexed | 2024-03-12T21:52:47Z |
| format | Article |
| id | doaj.art-093b299e7a7d43449834b27ffca076bb |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-12T21:52:47Z |
| publishDate | 2023-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-093b299e7a7d43449834b27ffca076bb2023-07-26T01:32:01ZengAIMS PressAIMS Mathematics2473-69882023-07-0189218282185510.3934/math.20231113Piecewise pseudo almost periodic solutions of interval general BAM neural networks with mixed time-varying delays and impulsive perturbationsYanshou Dong 0Junfang Zhao1Xu Miao 2Ming Kang31. School of Science, China University of Geosciences, Beijing 100083, China 2. School of Mathematics and Statistics, Zhaotong University, Zhaotong 657000, China1. School of Science, China University of Geosciences, Beijing 100083, China1. School of Science, China University of Geosciences, Beijing 100083, China1. School of Science, China University of Geosciences, Beijing 100083, ChinaThis paper is concerned with piecewise pseudo almost periodic solutions of a class of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations. By adopting the exponential dichotomy of linear differential equations and the fixed point theory of contraction mapping. The sufficient conditions for the existence of piecewise pseudo almost periodic solutions of the interval general BAM neural networks with mixed time-varying delays and impulsive perturbations are obtained. By adopting differential inequality techniques and mathematical methods of induction, the global exponential stability for the piecewise pseudo almost periodic solutions of the interval general BAM neural networks with mixed time-varying delays and impulsive perturbations is discussed. An example is given to illustrate the effectiveness of the results obtained in the paper.https://www.aimspress.com/article/doi/10.3934/math.20231113?viewType=HTMLpiecewise pseudo almost periodic solutionsintervalgeneral bam neural networksimpulsive perturbationsmixed time-varying delaysexistenceglobal exponential stability |
| spellingShingle | Yanshou Dong Junfang Zhao Xu Miao Ming Kang Piecewise pseudo almost periodic solutions of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations AIMS Mathematics piecewise pseudo almost periodic solutions interval general bam neural networks impulsive perturbations mixed time-varying delays existence global exponential stability |
| title | Piecewise pseudo almost periodic solutions of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations |
| title_full | Piecewise pseudo almost periodic solutions of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations |
| title_fullStr | Piecewise pseudo almost periodic solutions of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations |
| title_full_unstemmed | Piecewise pseudo almost periodic solutions of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations |
| title_short | Piecewise pseudo almost periodic solutions of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations |
| title_sort | piecewise pseudo almost periodic solutions of interval general bam neural networks with mixed time varying delays and impulsive perturbations |
| topic | piecewise pseudo almost periodic solutions interval general bam neural networks impulsive perturbations mixed time-varying delays existence global exponential stability |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231113?viewType=HTML |
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