Generalization of the regularization method to singularly perturbed integro-differential systems of equations with rapidly oscillating inhomogeneity

Bobodzhanov A. Kalimbetov B. Safonov V.
March 2021 MDPI AG

Axioms
2021 #10 Issue 1

In this paper, we consider systems of singularly perturbed integro-differential equations with a rapidly oscillating right-hand side, including an integral operator with a slowly varying kernel. Differential equations of this type and integro-differential equations with slowly varying inhomogeneity and with a rapidly oscillating coefficient at an unknown function are studied. 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 , Resonant exhibitors , Singular perturbation

Text of the article Перейти на текст статьи

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

Department of Higher Mathematics
Department of Mathematics

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026