Dynamic behaviors for reaction-diffusion neural networks with mixed delays

Mei Xu; Bo Du; Mei Xu; Bo Du

doi:10.3934/math.2020439

AIMS Mathematics

2020, Volume 5, Issue 6: 6841-6855. doi: 10.3934/math.2020439

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Research article

Dynamic behaviors for reaction-diffusion neural networks with mixed delays

Mei Xu ,
Bo Du ^,

School of Mathematics and Statistics, Huaiyin Normal University, Huaian Jiangsu, 223300, P. R. China

Received: 16 July 2020 Accepted: 31 August 2020 Published: 04 September 2020
MSC : 35C07, 35K57, 92D30

A class of reaction-diffusion neural networks with mixed delays is studied. We will discuss some important properties of the periodic mild solutions including existence and globally exponential stability by using exponential dissipation property of semigroup of operators and some analysis techniques. Finally, an example for the above neural networks is given to show the effectiveness of the results in this paper.
- reaction-diffusion; neural networks; mixed delays
Citation: Mei Xu, Bo Du. Dynamic behaviors for reaction-diffusion neural networks with mixed delays[J]. AIMS Mathematics, 2020, 5(6): 6841-6855. doi: 10.3934/math.2020439

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Abstract

A class of reaction-diffusion neural networks with mixed delays is studied. We will discuss some important properties of the periodic mild solutions including existence and globally exponential stability by using exponential dissipation property of semigroup of operators and some analysis techniques. Finally, an example for the above neural networks is given to show the effectiveness of the results in this paper.

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