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

Yongkun Li and Li Yang

Journal of Applied Mathematics, 2013, vol. 2013, 1-13

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:942309

DOI: 10.1155/2013/942309

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