In this paper, the study of linear differential equations involving one conventional and two nilpotent variables is started. This is a natural extension of the case of one involved nilpotent (para-Grassmann) variable studied earlier. In the case considered here, the two nilpotent variables are assumed to commute, hence they are generators of a (generalized) zeon algebra. Using the natural para-supercovariant derivatives \(D_i\) transferred from the study of a para-Grassmann variable, we consider linear differential equations of order at most two in \(D_i\) and discuss the structure of their solutions. For this, convenient graphical representations in terms of simple graphs are introduced.

在本文中，开始研究涉及一个常规变量和两个幂等变量的线性微分方程。这是前面研究的一个涉及的幂等变量（para-Grassmann）的情况的自然扩展。在这里考虑的情况下，假定这两个幂幂变量是通勤的，因此它们是（广义）zeon代数的生成器。使用从对格拉斯曼变量的研究中转移过来的自然对超协变导数（D_i \），我们考虑了\（D_i \）中至多两个阶的线性微分方程，并讨论了其解的结构。为此，引入了简单图形方面的方便图形表示。