Influence of rapidly oscillating inhomogeneities in the formation of additional boundary layers for singularly perturbed integro-differential systems
Keywords:
Singularly perturbed, Fractional order derivation, Integro-differential equation, Solvability of iterative problems, Rapidly oscillating in homogeneityAbstract
In this paper, the Lomov’s regularization method is generalized to a singularly perturbed integro-differential equation with a fractional derivative and with a rapidly oscillating inhomogeneity. The main goal of the work is to reveal the influence of a rapidly changing kernel on the structure of the asymptotic of the problem solution and to study additional boundary functions that are generated by rapidly oscillating in homogeneities.
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