Invariant set and attractor of nonautonomous functional differential systems. (Q1399842)

The nonlinear nonautonomous functional-differential system \[ \begin{aligned} \dot x(t)= A(t)x(t) &+ f(t, x(t-\tau(t)))+ p(t),\quad t\geq t_0\geq 0,\\ x(t) &= \phi(t),\quad-r\leq t\leq t_0,\end{aligned}\tag{1} \] is considered in \(\mathbb{R}^n\). Under certain conditions, positive invariant and global attracting sets of system (1) are established.