THE GENERALIZATION OF THE REGULARIZATION METHOD ON THE SINGULARLY PERTURBED INTEGRAL-PARTIAL DIFFERENTIAL EQUATIONS
A method of regularization of Lomov [1] for the first time is generalized on the integral-differential equations in partial derivatives. It turns out that the procedure of problem regularization significantly depends on a type of an integrated operator. The case when the top limit of integral is not a differentiation variable appeared as the most difficult. This case is considered in this paper. The class of kernels, which allows full regularization, is allocated, and the algorithm of construction of a regularized asymptotic of any order (on parameter) is developed.