Piecewise pseudo almost periodic solutions of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations

Yanshou Dong; Junfang Zhao; Xu Miao; Ming Kang; Yanshou Dong; Junfang Zhao; Xu Miao; Ming Kang

doi:10.3934/math.20231113

AIMS Mathematics

2023, Volume 8, Issue 9: 21828-21855. doi: 10.3934/math.20231113

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Piecewise pseudo almost periodic solutions of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations

1.
School of Science, China University of Geosciences, Beijing 100083, China
2.
School of Mathematics and Statistics, Zhaotong University, Zhaotong 657000, China

Received: 09 April 2023 Revised: 13 May 2023 Accepted: 17 May 2023 Published: 10 July 2023
MSC : 34A12, 34A34, 34A37, 34D09, 34D20

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.
- piecewise pseudo almost periodic solutions,
- interval,
- general BAM neural networks,
- impulsive perturbations,
- mixed time-varying delays,
- existence,
- global exponential stability
Citation: 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[J]. AIMS Mathematics, 2023, 8(9): 21828-21855. doi: 10.3934/math.20231113

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Abstract

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.

References

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