Asymptotic behavior of bounded solutions for a system of neutral functional differential equations

Consider the system of neutral functional differential equations {(x1(t)−c2x2(t−r2))′=−F1(x1(t))+G1(x2(t−r2)),(x2(t)−c1x1(t−r1))′=−F2(x2(t))+G2(x1(t−r1)), where ri>0ri>0, ci∈[0,1)ci∈[0,1), and FiFi, Gi∈C(R1),i=1,2Gi∈C(R1),i=1,2. It is shown that if Fi(i=1,2) is strictly increasing on R1R1, and some additional assumptions hold, then every bounded solution of such a system tends to an equilibrium. Our results correct and extend some corresponding ones already known.