Abstract:
We consider a system of nonlinear differential equations with distributed delay and periodic coefficients in the linear terms. Some sufficient conditions for the exponential decay of solutions are established, and the estimates characterizing the rate of decay of solutions at infinity are obtained.
Keywords:nonlinear differential equation, distributed delay,
periodic coefficient, exponential decay of a solution,
estimation of solution, Lyapunov–Krasovskiĭ functional.
.