非局部m-耗散微分包含的弛豫

Pub Date : 2019-12-01 DOI:10.2478/auom-2019-0033

S. Bilal, O. Cârja, T. Donchev, N. Javaid, A. Lazu

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引用次数: 2

摘要

摘要本文证明了非局部微分包含的积分解的集合在相应的松弛微分包含的解集的集合中是密集的。进一步定义了极限解的概念，证明了极限解的集合是闭的，并且是积分解集合的闭包。给出了一个说明性示例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Relaxation of nonlocal m-dissipative differential inclusions

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.

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