SINGULARLY PERTURBED INTEGRAL EQUATION
WITH A RAPIDLY OSCILLATING INHOMOGENEITY
Burkhan Kalimbetov1, Valeriy Safonov2, Elvira Madikhan1
1Khoja Ahmet Yasawi International
Kazakh-Turkish University
Department of Mathematics
B. Sattarkhanov 29, Turkestan
161200, KAZAKHSTAN
2 National Research University, MPEI
Department of Higher Mathematics
Krasnokazarmennaya 14, Moscow
111250, RUSSIA

Abstract

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.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 4
Year: 2021

DOI: 10.12732/ijam.v34i4.5

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