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An in-plane magnetized planar dielectric/ferrite/dielectric structure adjoining perfect conductors or magnetic walls is considered. Dispersion equations for dipole spin waves in this structure are obtained on the basis of Maxwell’s equations. It is shown that, by analogy with the permutation duality principle (according to which Maxwell’s equations can be transformed into each other), the dispersion equations for the structure with conductors and for the structure with magnetic walls are transformed into each other after certain quantities are replaced according to a certain scheme. It is found that solutions corresponding to a surface dipole spin TEM (or T) wave exist on the interface between the ferrite half-space and a magnetic wall and that similar solutions exist in a ferrite layer adjoining two magnetic walls.