Under consideration is the class of nonlinear systems of nonautonomous differential equations of neutral type with a variable delay that can be unbounded. Using a Lyapunov–Krasovskii functional, we establish some estimates of solutions that allow us to conclude whether the solutions are stable. In the case of exponential and asymptotic stability, we estimate the attraction domains and the rate of stabilization of solutions at infinity.

中文翻译：

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一类具有无限延迟的中性型非自治系统的解的估计

正在考虑的是具有可以无限的可变延迟的中性类型的非自治微分方程的非线性系统类。使用 Lyapunov-Krasovskii 泛函，我们建立了一些解的估计，使我们能够得出解是否稳定的结论。在指数和渐近稳定性的情况下，我们估计了无穷远解的吸引力域和稳定率。