SINGULARLY PERTURBED NONLINEAR INTEGRO-DIFFERENTIAL TASK WITH DIAGONAL DEGENERATION OF THE NUCLEUS
For nonlinear singularly perturbed integro-differential tasks with diagonal degeneration of the nucleus develops a regularized algorithm asymptotic solutions. Based on the analysis of the main member asymptotic of a class of the right-hand side and initial data for which the exact solution of the original problem tends to limit (at ε → +0) throughout the period under consideration, including the area of the boundary layer (solves the so called initialization).