Article is devoted multidimensional integrated operators with homogeneous kernels and oscillating in factors of a special kind. The operators representing the sum of the composed are studied: the initial integrated operator with a homogeneous kernel, the operator with осциллирующим in factor and a homogeneous kernel. For the given operators the concept of a symbol, of which terms is defined the criterion neterovosti and the formula of calculation of an index is received. The task in view decision is based on a reduction of the multidimensional integrated equation to infinite diagonal system of the one-dimensional equations.

Keywords: Integral operators with homogeneous kernels,integral operators with oscillating factors, multidimensional integral equations