Estimates for solutions of one class to systems of nonlinear differential equations with distributed delay

Abstract

In the paper we consider a system of nonlinear differential equations with distributed delay
and periodic coefficients in linear terms. Sufficient conditions for exponential stability of the zero solution are established,
estimates that characterize the rate of decay of solutions at infinity are obtained,
and attraction sets of the zero solution are indicated. Similar results are obtained in the case of small perturbations in linear terms.