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Almost periodic solutions of retarded SICNNs with functional response on piecewise constant argument

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Abstract

We consider a new model for shunting inhibitory cellular neural networks, retarded functional differential equations with piecewise constant argument. The existence and exponential stability of almost periodic solutions are investigated. An illustrative example is provided.

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Acknowledgments

The authors wish to express their sincere gratitude to the referees for the helpful criticism and valuable suggestions, which helped to improve the paper significantly. The second author is supported by the 2219 Scholarship Programme of TÜBİTAK, the Scientific and Technological Research Council of Turkey.

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Authors and Affiliations

  1. Department of Mathematics, Middle East Technical University, 06800, Ankara, Turkey

    Marat Akhmet

  2. Neuroscience Institute, Georgia State University, Atlanta, GA, 30303, USA

    Mehmet Onur Fen

  3. Laboratoire de Mathématiques, Image et Applications, Pôle Sciences et Technologies, Université de La Rochelle, Avenue Michel Crépeau, 17042, La Rochelle, France

    Mokhtar Kirane

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  1. Marat Akhmet
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  2. Mehmet Onur Fen
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  3. Mokhtar Kirane
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Correspondence to Marat Akhmet.

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Akhmet, M., Fen, M.O. & Kirane, M. Almost periodic solutions of retarded SICNNs with functional response on piecewise constant argument. Neural Comput & Applic 27, 2483–2495 (2016). https://doi.org/10.1007/s00521-015-2019-4

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  • DOI: https://doi.org/10.1007/s00521-015-2019-4

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