The problem of mass transfer for diffusion and adsorption in non-regular disperse and porous multilayer media with no stationary regimes of mass exchange processes on the mass exchanged surfaces, which is described by systems of differential equations with boundary conditions and contact conditions, is introduced. The exact analytical solution of the problem by the application of Laplace, Fourier and Bessel integral transforms and the fundamental function method of Cauchy is established. Models were selected in accordance with component distribution in the multilayer media Me-MeO area. The solution of equation systems for different models as well as the investigation of the functions made it possible to find the effective meaning of the diffusion coefficient. The investigations will allow to correct multilayer chemical composition, to understand better the high-temperature oxidation mechanism and adsorption mechanism in nanoporous n-component structures.

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