Generalization of the Regularization Method to Singularly Perturbed Integro-Differential Systems of Equations with Rapidly Oscillating Inhomogeneity

In this paper, we consider systems of singularly perturbed integro-differential equations with a rapidly oscillating right-hand side, including an integral operator slowly varying kernel. Differential type and inhomogeneity coefficient at unknown function are studied. The main goal work is to generalize the Lomov’s regularization method reveal influence side on asymptotics solution original problem.