The theory of differential inclusions has played a central role in many areas as biological systems, physical problems and population dynamics. The principle aim of our work is to compute explicitly the discrete approximate solution of a differential inclusion including a maximal monotone operator. Also we present a numerical application of our results for showing how to compute the discrete approximate solution of its corresponding differential inclusion.

中文翻译：

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具有最大单调算子的微分包含的近似解

差异包裹体理论在许多领域（如生物系统，物理问题和种群动态）发挥了核心作用。我们工作的主要目的是明确计算包含最大单调算子的微分包含的离散近似解。此外，我们还提供了数值结果的数值应用，以展示如何计算其相应微分包含的离散近似解。