In this manuscript, we consider a discontinuous delay dynamical system on time scales. Time scales make the system a hybrid system which is more realistic and useful. We establish the convergence to maximal and minimal solutions using monotone iterative method. The time scales cover the discrete and continuous case as well as several other cases such as quantum and Cantor set. The result presented extends and complements the existing ones. At the end, two examples are provided to illustrate the analytical findings.

中文翻译：

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一类时滞时滞不连续广义动力方程的最大解和最小解

在本文中，我们考虑了时间尺度上的不连续时滞动力系统。时间尺度使该系统成为一个更加现实和有用的混合系统。我们使用单调迭代方法建立对最大和最小解的收敛。时标涵盖离散和连续情况以及量子和Cantor集等其他几种情况。给出的结果扩展并补充了现有结果。最后，提供了两个示例来说明分析结果。