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ON THE SOLUTION OF THE FIRST FOURIER PROBLEM FOR THE SYSTEM OF DIFFUSION EQUATIONS

are considered. This corresponds physically to diffusion of several gases and evolution of their concentrations. The solution of this problem is represented as a sum of two integrals being counterparts of the Poisson-Weierstrass integral and potential of plane domain. Kerneks of these integrals are represented by the matrix-function G introduced in this paper and playing crucial role in a representation of a solution v of given Fourier problem (F). Similar problems were solved by Majchrowski [3] and by Majchrowski and Rogulski [2], but for Q = [0,1] only.