Construction of a regularized asymptotic solution of an integro-differential equation with a rapidly oscillating cosine
Bobodzhanov A. Kalimbetov B. Pardaeva N.
2024International Scientific Research Publications
Journal of Mathematics and Computer Science
2024#32Issue 174 - 85 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 slowly varying kernel. Earlier, singularly perturbed differential and integro-differential equations with rapidly oscillating coefficients were considered. The main goal of this work is to generalize the Lomov’s regularization method and to identify the rapidly oscillating right-hand side to the asymptotics of the solution to the original problem.
integro-differential equation , oscillating right-hand side , regularization problems , Singular perturbation , solvability of iterative problems
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The National Research University, MPEI, Krasnokazarmennaya 14, Moscow, Russian Federation
M. Auezov South Kazakhstan University, Tauke-xan 5, Shymkent, Kazakhstan
Almalyk branch of the NRTU MISA, Amir Temur 56, Almalyk, Uzbekistan
The National Research University
M. Auezov South Kazakhstan University
Almalyk branch of the NRTU MISA
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