Convolution type integral equations in the conservative case

In this paper convolution type integral equations in the conservative case are studied. The conservative case of convolution type of equations relates to the case of non normal type of equations and is that of the corresponding symbols degenerate at some points of the real line, and the classical Furier transformation method meets difficulties with its application to the studying equations. To the study in the conservative case of convolution type equations in this paper we use the special factorization method.