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Research Article | Open Access

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

Yanshou Dong1,2Junfang Zhao1( )Xu Miao1Ming Kang1
School of Science, China University of Geosciences, Beijing 100083, China
School of Mathematics and Statistics, Zhaotong University, Zhaotong 657000, China
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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.

CLC number: 34A12, 34A34, 34A37, 34D09, 34D20

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AIMS Mathematics
Pages 21828-21855

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Cite this article:
Dong Y, Zhao J, Miao X, et al. Piecewise pseudo almost periodic solutions of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations. AIMS Mathematics, 2023, 8(9): 21828-21855. https://doi.org/10.3934/math.20231113

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Received: 09 April 2023
Revised: 13 May 2023
Accepted: 17 May 2023
Published: 15 September 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)