This paper studies the dynamics of families of monotone nonautonomous neutral functional differential equations with nonautonomous operator, of great importance for their applications to the study of the long-term behavior of the trajectories of problems described by this kind of equations, such us compartmental systems and neural networks among many others. Precisely, more general admissible initial conditions are included in the study to show that the solutions are asymptotically of the same type as the coefficients of the neutral and non-neutral part.

中文翻译：

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非自治中立动力系统解的渐近行为

本文研究了具有非自治算子的单调非自治中立泛函微分方程族的动力学，对于它们在研究这类方程所描述的问题轨迹的长期行为（例如我们的隔室系统和神经网络等等。确切地说，研究中包括了更一般的容许初始条件，以表明解的渐近性与中性和非中性部分的系数相同。