This paper is devoted to studying a system of coupled nonlinear first order history-dependent evolution inclusions in the framework of evolution triples of spaces. The multivalued terms are of the Clarke subgradient or of the convex subdifferential form. Using a surjectivity result for multivalued maps and a fixed point argument for a history-dependent operator, we prove that the system has a unique solution. We conclude with two examples of an evolutionary differential variational–hemivariational inequality and of a dynamic frictional contact problem in mechanics, which illustrate the abstract results.

中文翻译：

---

一类与历史相关的演化包含系统及其应用

本文致力于研究空间演化三元组框架下耦合的非线性一阶历史依赖演化包含物的系统。多值项具有Clarke次梯度或凸次微分形式。使用多值映射的相射性结果和历史相关算子的不动点参数，我们证明该系统具有唯一的解决方案。我们以演化微分变分-半变分不等式和力学中的动态摩擦接触问题为例，说明了抽象的结果。