Asymptotic solution of the Cauchy problem for the singularly perturbed partial integro-differential equation with rapidly oscillating coefficients and with rapidly oscillating heterogeneity

In this paper, the regularization method of S. A. Lomov is generalized to integro-differential equations with rapidly oscillating coefficients and with a rapidly oscillating right-hand side. The main goal of the work is to reveal the influence of the oscillating components on the structure of the as...

Full description

Bibliographic Details
Main Authors: Kalimbetov Burkhan T., Tuychiev Olim D.
Format: Article
Language:English
Published: De Gruyter 2021-05-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2021-0021