Abstract
Integral equations whose kernels are complicated by the presence besides the well known component, the so-called Cauchy kernel, of an additional term with nonintegrable singularities at the ends of the variation interval of the independent variable, are investigated in some detail. Integrals of this kind occur in investigations of a group of special mixed problems in the potential and elasticity theories. Possible approaches to the interpretation of particular equations, not only with symmetric limits (differing only by their signs) of integration, are outlined. Such equations undoubtedly deserve attention owing to the interest in them in the applied field.
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