Anti-periodic Solutions for Bam Neural Networks with Multiple Delays on Time Scales

In this paper, we consider anti-periodic solutions of the following BAM neural networks with multiple delays on time scales:    xi (t) = −ai(t)ei(xi(t)) + m ∑ j=1 cji(t)fj(yj(t− τji)) + Ii(t), y∆ j (t) = −bj(t)hj(yj(t)) + n ∑ i=1 dij(t)gi(xi(t− δij)) + Jj(t), where i = 1, 2, . . . , n,j = 1, 2, . . . ,m. Using some analysis skills and Lyapunov method, some sufficient conditions on the existence and exponential stability of the anti-periodic solution to the above system are established. AMS Mathematics Subject Classification : 34K13, 34K20, 34N05.