Abstract We show here that the set of the integral solutions of a nonlocal differential inclusion is dense in the set of the solution set of the corresponding relaxed differential inclusion. We further define a notion of limit solution and show that the set of limit solutions is closed and is the closure of the set of integral solutions. An illustrative example is provided.

中文翻译：

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非局部 m-耗散微分夹杂的松弛

摘要 我们在此证明非局部微分包含的积分解集在相应松弛微分包含的解集集中是稠密的。我们进一步定义了极限解的概念，并表明极限解集是封闭的，并且是积分解集的封闭。提供了一个说明性示例。