Asymptotics of the solution of the hyperbolic system with a small parameter

Year 2022, Volume: 10 Issue: 2, 194 - 198, 31.12.2022

Asan Omuraliev Ella Abylaeva

https://doi.org/10.51354/mjen.1017554

Abstract

Asymptotic study of singularly perturbed differential equations of hyperbolic type has received relatively little attention from researchers. In this paper, the asymptotic solution of the singularly perturbed Cauchy problem for a hyperbolic system is constructed. In addition, the regularization method for singularly perturbed problems of S. A. Lomov is used for the first time for the asymptotic solution of a hyperbolic system. It is shown that this approach greatly simplifies the construction of the asymptotics of the solution for singularly perturbed differential equations of hyperbolic type.

Keywords

Asymptotics, singularly perturbed hyperbolic system, Cauchy problem

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