Abstract:
A class of systems of nonautonomous differential equations of neutral type with concentrated and distributed delays is considered. By using a Lyapunov–Krasovskii functional, estimates are established that imply whether the solutions are stable. In the case of exponential stability, estimates for the stabilization rate of the solutions at infinity are given.
Key words:systems of neutral type, variable coefficients, estimates of solutions, stability, Lyapunov–Krasovskii functional.