Abstract

This paper considers the problem of linear conjugation on a closed Ljapunov curve , which encloses the finite domain D′. It is assumed that the coefficient on γ. The free term g belongs to the Slobodeckii space . It is shown that the solution , 1≤p≤ x, exists and it is given explicitly, for both cases that Index G≥0 and Index G<0. In both cases an a priori estimate of the solution is given.

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