Singularly Perturbed Integral Equations With A Rapidly Oscillating Inhomogeneity

Kalimbetov B. Safonov V. Madikhan E.
2021 Academic Publications Ltd.

International Journal of Applied Mathematics
2021 #34 Issue 4 653 - 668 pp.

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

asymptotic convergence , integro-differential equation , rapidly oscillating inhomogeneity , regularization , singular perturbation

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Khoja Ahmet Yasawi International Kazakh-Turkish University, Department of Mathematics, B. Sattarkhanov 29, 161200, Turkestan, Kazakhstan
National Research University, MPEI Department of Higher Mathematics, Krasnokazarmennaya 14, 111250, Russian Federation

Khoja Ahmet Yasawi International Kazakh-Turkish University
National Research University

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