Abstract We study the approximate controllability of a general class of first order abstract control differential problems with state-dependent delay. To this end, we establish and prove several new results on local and global existence and uniqueness of mild and strict solutions for abstract differential equations with state-dependent delay. In the last section, some examples are presented.

中文翻译：

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具有状态相关延迟的抽象微分方程的存在性、唯一性和近似可控性

摘要 我们研究了一类具有状态相关延迟的一阶抽象控制微分问题的近似可控性。为此，我们建立并证明了一些关于具有状态相关延迟的抽象微分方程的温和和严格解的局部和全局存在性和唯一性的新结果。在最后一节中，介绍了一些示例。