Pseudo Almost Periodic Solutions for MAMs with an Oscillating Coefficient and Distributed Delays

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Abstract

This paper concerns with the pseudo almost periodic solutions for a multidirectional associative memory neural network with an oscillating coefficient and distributed delays. By applying contraction mapping fixed point theorem and differential inequality techniques, we establish some sufficient conditions for the existence and exponential stability of pseudo almost periodic solutions for the model considered in this work, which complement with all results in Zhou et al. (Math Comput Simul 107:52–60, 2015). Moreover, an example and its numerical simulation are given to support the theoretical results.

Keywords

Multidirectional associative memory neural network Pseudo almost periodic solution Exponential stability Distributed delay 

Mathematics Subject Classification

34C25 34K13 34K25 

Notes

Acknowledgements

The author would like to express his sincere appreciation to the editor and reviewers for their helpful comments in improving the presentation and quality of the paper. This work was supported by the Natural Scientific Research Fund of Hunan Province of China (Grant Nos. 2018JJ2194, 2018JJ2372), and a key project supported by Scientific Research Fund of Hunan Provincial Education Department (15A038).

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Authors and Affiliations

  1. 1.College of Mathematics and FinanceHunan Institute of Humanities, Science and TechnologyLoudiPeople’s Republic of China

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