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Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales

Author

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  • Yongkun Li
  • Lei Wang
  • Yu Fei

Abstract

A class of shunting inhibitory cellular neural networks of neutral type with time-varying delays in the leakage term on time scales is proposed. Based on the exponential dichotomy of linear dynamic equations on time scales, fixed point theorems, and calculus on time scales we obtain some sufficient conditions for the existence and global exponential stability of periodic solutions for that class of neural networks. The results of this paper are completely new and complementary to the previously known results even if the time scale or . Moreover, we present illustrative numerical examples to show the feasibility of our results.

Suggested Citation

  • Yongkun Li & Lei Wang & Yu Fei, 2014. "Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-16, February.
    • Handle: RePEc:hin:jnljam:496396
    DOI: 10.1155/2014/496396
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    Cited by:

    1. Marat Akhmet & Madina Tleubergenova & Akylbek Zhamanshin, 2023. "Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and Inputs," Mathematics, MDPI, vol. 11(6), pages 1-18, March.

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