Copyright © 2013 Yongkun Li and Li Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.