On the exceptional case of the characteristic singular equation with Cauchy kernel


We study the exceptional case of the characteristic singular integral equation with Cauchy kernel in which its coefficients admit zeros or singularities of complex orders at finitely many points of the contour. By reduction to a linear conjugation problem, we obtain an explicit solution formula and solvability conditions for this equation in weighted Hölder classes

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Digital Library of Polotsk State University (Репозиторий Полоцкого государственного университета)

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