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In this paper convolution type integral equations in the conservative caseare studied. The conservative case of convolution type of equations relates tothe case of non normal type of equations and is that of the correspondingsymbols degenerate at some points of the real line, and the classical Furiertransformation method meets difficulties with its application to the studyingequations. To the study in the conservative case of convolution type equationsin this paper we use the special factorization method.

Convolution type integral equations in the conservative case