Algorithm of the Regularization Method for a Singularly Perturbed Integro-differential Equation with a Rapidly Decreasing Kernel and Rapidly Oscillating Inhomogeneity

Bobodzhanov A.A. Kalimbetov B.T. Safonov V.F.
2022 Siberian Federal University

Journal of Siberian Federal University - Mathematics and Physics
2022 #15 Issue 2 214 - 223 pp.

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.

integro-differential equation , rapidly oscillating right-hand side , rapidly varying kernel , regularization , singular perturbation , solvability of iterative problems

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National Research University, Moscow Power Engineering Institute, Moscow, Russian Federation
Akhmet Yassawi International Kazakh, Turkish University Turkestan, Kazakhstan

National Research University
Akhmet Yassawi International Kazakh

10 лет помогаем публиковать статьи Международный издатель

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