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A new approach to linear interval differential equations as a first step toward solving fuzzy differential

机译：求解线性区间微分方程的新方法，是解决模糊微分的第一步

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摘要

This study uses a concept of interval differentiability, which was recently introduced, to formulate interval initial value problems involving linear interval differential equations. Differently from the approaches that use the g H-differentiability, this study does not make use of a criterion of choice for switching points in order to obtain solutions for such problems. The method herein presented provides solutions in a simple, straightforward, and computationally tractable way. Moreover, these solutions are intuitive because they coincide with the solutions given by a differential inclusion method. The efficiency and practicality of our approach are illustrated through some examples that have appeared in other articles. (C) 2017 Elsevier B.V. All rights reserved.
机译：这项研究使用最近引入的区间可微性概念来表达涉及线性区间微分方程的区间初值问题。与使用g H可微性的方法不同，本研究没有使用转换点的选择标准来获得此类问题的解决方案。本文呈现的方法以简单，直接且在计算上易于处理的方式提供了解决方案。此外，这些解决方案很直观，因为它们与微分包含方法给出的解决方案一致。通过其他文章中出现的一些示例来说明我们的方法的效率和实用性。 （C）2017 Elsevier B.V.保留所有权利。

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