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In this paper, based on a proposed notion of generalized conjugate harmonicpairs in the framework of complex Clifford analysis, necessary and sufficientconditions for the solvability of inhomogeneous perturbed generalizedMoisil-Teodorescu systems in higher dimensional Euclidean spaces are proved. Asan application, we derive corresponding solvability conditions for theinhomogeneous Maxwell's equations.

Solutions of inhomogeneous perturbed generalized Moisil-Teodorescu system and Maxwell's equations in Euclidean Space