Synchronization between Bidirectional Coupled Nonautonomous Delayed Cohen-Grossberg Neural Networks

and Applied Analysis 3 positive τij and τ̇ ij such that 0 ≤ τij t ≤ τij and τ̇ij t ≤ τ̇ ij < 1; kij · correspond to the delay kernel functions, coupledmatrix are αij t n×n and βij t n×n in which αii t ≥ 0 and βii t ≥ 0 and αij t , βij t are bounded on 0, ∞ . Throughout this paper, we assume for system 2.1 and 2.2 that H1 amplification functions ai · are continuous and there exist constants ai, ai such that 0 < ai ≤ ai · ≤ ai for 1 ≤ i ≤ n; H2 there exist positive continuous and bounded functions bi t such that bi t, x − bi ( t, y ) x − y ≥ bi t > 0 2.3 for all x / y, 1 ≤ i ≤ n; H3 for activation functions fj · , there exist positive constants Lj such that Lj sup x / y ∣∣∣∣ fj x − fj ( y ) x − y ∣∣∣∣ 2.4 for all x / y, 1 ≤ j ≤ n; H4 the kernel functions kij s are nonnegative continuous function on 0, ∞ and satisfy ∫ ∞