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Almost Periodic Solutions for Neutral-Type BAM Neural Networks with Delays on Time Scales

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  • Yongkun Li
  • Li Yang

Abstract

Using the existence of the exponential dichotomy of linear dynamic equations on time scales, a fixed point theorem and the theory of calculus on time scales, we obtain some sufficient conditions for the existence and exponential stability of almost periodic solutions for a class of neutral-type BAM neural networks with delays on time scales. Finally, a numerical example illustrates the feasibility of our results and also shows that the continuous-time neural network and its discrete-time analogue have the same dynamical behaviors. The results of this paper are completely new even if the time scale or and complementary to the previously known results.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnljam:942309
    DOI: 10.1155/2013/942309
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