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Global Exponential Stability of Weighted Pseudo‐Almost Periodic Solutions of Neutral Type High‐Order Hopfield Neural Networks with Distributed Delays

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Listed:
  • Lili Zhao
  • Yongkun Li

Abstract

Some sufficient conditions are obtained for the existence, uniqueness, and global exponential stability of weighted pseudo‐almost periodic solutions to a class of neutral type high‐order Hopfield neural networks with distributed delays by employing fixed point theorem and differential inequality techniques. The results of this paper are new and they complement previously known results. Moreover, an example is given to show the effectiveness of the proposed method and results.

Suggested Citation

  • Lili Zhao & Yongkun Li, 2014. "Global Exponential Stability of Weighted Pseudo‐Almost Periodic Solutions of Neutral Type High‐Order Hopfield Neural Networks with Distributed Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:506256
    DOI: 10.1155/2014/506256
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    References listed on IDEAS

    as
    1. Yongkun Li & Li Yang, 2013. "Almost Periodic Solutions for Neutral-Type BAM Neural Networks with Delays on Time Scales," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-13, July.
    2. Yongkun Li & Li Yang, 2013. "Almost Periodic Solutions for Neutral‐Type BAM Neural Networks with Delays on Time Scales," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    3. Toka Diagana, 2013. "Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces," Springer Books, Springer, edition 127, number 978-3-319-00849-3, March.
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