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Almost periodic solutions for neutral-type BAM neural networks with delays on time scales - MaRDI portal

Almost periodic solutions for neutral-type BAM neural networks with delays on time scales (Q364593)

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scientific article; zbMATH DE number 6206885
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Almost periodic solutions for neutral-type BAM neural networks with delays on time scales
scientific article; zbMATH DE number 6206885

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    Almost periodic solutions for neutral-type BAM neural networks with delays on time scales (English)
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    9 September 2013
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    Summary: 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 \(\mathbb T = \mathbb R\) or \(\mathbb Z\) and complementary to the previously known results.
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