Regularised asymptotic solutions of integro-differential equations with zero operator of the differential part and with rapidly oscillating inhomogeneity
Bobodzhanova M.A. Kalimbetov B.T. Safonov V.F.
2 September 2025Taylor and Francis Ltd.
Applicable Analysis
2025#104Issue 132534 - 2545 pp.
The paper considers a linear integro-differential equation with zero operator of the differential part, the right-hand side of which contains a rapid oscillation inhomogeneity. An algorithm of the Lomov regularization method is developed for equations of this type. The work is a continuation of research carried out earlier for slowly changing heterogeneity. In this case, the conditions for the solvability of the corresponding iterative problems will have the form not of differential (as was the case in problems with a non-zero operator of the differential part), but of integro-differential equations, and inhomogeneity plays an essential role in the formation of these equations.
integral regularization , integro-differential equation , iterative problems , Singularly perturbed , solvability iterative problems
Text of the article Перейти на текст статьи
Department of Mathematics, National Research University, MPEI, Moscow, Russian Federation
Department of Mathematics, Kuatbekov Peoples’ Friendship University, Shymkent, Kazakhstan
Department of Mathematics
Department of Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026