In this paper, we discuss the structure of the solutions for linear interval-valued Volterra integro-differential equations (VIDEs) based on gH-difference. The considered VIDEs consist of six forms. Among those six forms, three forms are obtained by using the definition of generalized Hukuhara difference (or gH-difference). We obtain solutions of that linear interval-valued VIDEs and discuss their properties. Some examples illustrate the theory.

中文翻译：

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Volterra区间值积分微分方程解的结构

在本文中，我们讨论了基于 gH 差的线性区间值 Volterra 积分微分方程 (VIDE) 的解的结构。所考虑的 VIDE 由六种形式组成。在这六种形式中，利用广义Hukuhara差异（或gH-差异）的定义获得了三种形式。我们获得了该线性区间值 VIDE 的解并讨论了它们的性质。一些例子说明了这个理论。