Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (2)
- Authors
- Bobodzhanov, Abdukhafiz A.; Kalimbetov, Burkhan T.; Safonov, Valeriy F.
- Contact information
- Bobodzhanov, Abdukhafiz A.: National Research University "Moscow Power Engineering Institute" Moscow, Russian Federation; ; Kalimbetov, Burkhan T.: Akhmet Yassawi International Kazakh-Turkish University Turkestan, Kazakhstan; ; Safonov, Valeriy F.: National Research University "Moscow Power Engineering Institute" Moscow, Russian Federation;
- Keywords
- singular perturbation; integro-differential equation; rapidly oscillating right-hand side; rapidly varying kernel; regularization; solvability of iterative problems
- Abstract
In this paper, we consider a singularly perturbed integro-differential equation with a rapidly oscillating right-hand side, which includes an integral operator with a rapidly 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 and a rapidly varying kernel on the asymptotics of the solution to the original problem
- Pages
- 214–223
- DOI
- 10.17516/1997-1397-2022-15-2-214-223
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/145173
Journal of Siberian Federal University. Mathematics & Physics / Algorithm of the Regularization Method for a Singularly Perturbed Integro-differential Equation with a Rapidly Decreasing Kernel and Rapidly Oscillating Inhomogeneity
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