In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term of Heaviside type. Using this principle, we study the structure of the global attractor in both the autonomous and nonautonomous cases. In particular, in the last case we prove that the pullback attractor is confined between two special bounded complete trajectories, which play the role of nonautonomous equilibria.

中文翻译：

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具有非连续强迫项的非自治反应扩散方程的极值界完整轨迹

在本文中，我们为非自治微分包含力为Heaviside类型的项建立了强大的比较原理。利用这一原理，我们研究了自主和非自主情况下的全局吸引子的结构。特别是，在最后一种情况下，我们证明了回撤吸引子被限制在两个特殊的有界完整轨迹之间，这些轨迹起非自治平衡的作用。