This paper is associated with Sturm–Liouville type boundary value problems and periodic boundary value problems for quaternion-valued differential equations (QDEs). Employing the theory of quaternionic matrices, we prove the conditions for the solvability of the linear boundary valued problem and find Green’s function.

中文翻译：

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四元数微分方程的边值问题：可解性和格林函数

本文涉及 Sturm–Liouville 型边值问题和四元数微分方程 (QDE) 的周期边值问题。利用四元矩阵理论，证明了线性边值问题可解的条件，并求出了格林函数。