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Pseudo almost periodic solutions for CNNs with leakage delays and complex deviating arguments

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Abstract

In this paper, cellular neural networks with leakage delays and complex deviating arguments are considered. Some criteria are established for the existence of pseudo almost periodic solutions for this model by using the exponential dichotomy theory, contraction mapping fixed point theorem and inequality analysis technique. The results of this paper are new and complement previously known results.

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Acknowledgments

The authors would like to express their sincere appreciation to the reviewers for their helpful comments in improving the presentation and quality of the paper. This research was completed with the support of “The Scientific and Technological Research Council of Turkey” (2221—Fellowships for Visiting Scientists and Scientists on Sabbatical Leave—2013/2012.period), while the corresponding author was a visiting scholar at Yüzüncü Yıl University, Van, Turkey. This work was also supported by the construct program of the key discipline in Hunan Province (Mechanical Design and Theory).

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Hunan University of Arts and Science, Changde, 415000, Hunan, People’s Republic of China

    Bingwen Liu

  2. Department of Mathematics, Faculty and Sciences, Yüzüncü Yıl University, 65080, Van, Turkey

    Cemil Tunç

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  1. Bingwen Liu
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  2. Cemil Tunç
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Correspondence to Bingwen Liu.

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Liu, B., Tunç, C. Pseudo almost periodic solutions for CNNs with leakage delays and complex deviating arguments. Neural Comput & Applic 26, 429–435 (2015). https://doi.org/10.1007/s00521-014-1732-8

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  • DOI: https://doi.org/10.1007/s00521-014-1732-8

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