发表机构
Université Bourgogne Europe; Universidad de Chile（勃艮第欧洲大学; 智利大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究由极大单调算子、Volterra积分项和单侧Lipschitz集值扰动控制的微分包含，在非局部条件下通过迭代和Zorn引理证明解的存在性，并给出应用实例。
AI 中文摘要
我们研究一类由非自治和自治极大单调算子控制的微分包含，涉及具有Volterra积分项的集值扰动，并受非局部条件约束。在关于控制算子、集值扰动和Volterra核的适当假设下，我们建立了解的存在性结果。特别地，集值扰动被假定满足单侧Lipschitz条件，而Volterra核被要求是Lipschitz连续的。通过迭代构造和Zorn引理的应用，建立了轨迹的存在性。最后，给出几个例子来说明抽象结果的适用性。
英文摘要
We investigate a class of differential inclusions governed by non-autonomous and autonomous maximal monotone operators, involving set-valued perturbations with a Volterra integral term and subject to a nonlocal condition. Under suitable assumptions on the governing operator, the set-valued perturbation, and the Volterra kernel, we establish existence results for solutions. In particular, the set-valued perturbation is assumed to satisfy a one-sided Lipschitz condition, while the Volterra kernel is required to be Lipschitz continuous. The existence of a trajectory is established by means of an iterative construction and an application of Zorn's lemma. Finally, several examples are presented to illustrate the applicability of the abstract results.
