In this paper, based on a proposed notion of generalized conjugate harmonic pairs in the framework of complex Clifford analysis, necessary and sufficient conditions for the solvability of inhomogeneous perturbed generalized Moisil–Teodorescu systems in higher dimensional Euclidean spaces are proved. As an application, we derive corresponding solvability conditions for the inhomogeneous Maxwell’s equations.

中文翻译：

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欧氏空间中非均匀摄动广义Moisil-Teodorescu系统的解和Maxwell方程

本文基于在复杂的Clifford分析框架中提出的广义共轭谐波对的概念，证明了非均匀摄动广义Moisil-Teodorescu系统在高维欧几里德空间中的可解性的充要条件。作为应用，我们为非均匀麦克斯韦方程组导出了相应的可解条件。