Demidenko, GennadiiMatveeva, Inessa2023-05-302023-05-302016-01-11Demidenko, G., & Matveeva, I. (2016). Exponential stability of solutions to nonlinear time-delay systems of neutral type. <i>Electronic Journal of Differential Equations, 2016</i>(19), pp. 1-20.1072-6691https://hdl.handle.net/10877/16891We consider a nonlinear time-delay system of neutral equations with constant coefficients in the linear terms d/dt (y(t) + Dy(t - τ)) = Ay(t) + By(t - τ) + F(t, y(t), y(t - τ)), where ‖F(T, u, v)‖ ≤ q1‖u‖1+ω1 + q2‖v‖1+ω2, q1, q2, ω1, ω2 > 0. We obtain estimates characterizing the exponential decay of solutions at infinity and estimates for attraction sets of the zero solution.Text20 pages1 file (.pdf)enAttribution 4.0 InternationalTime-delay systemsNeutral equationExponential stabilityAttraction setsArticle