Asymptotics of the solution of the hyperbolic system with a small parameter-Reference-Cited by-同舟云学术

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

Published:2022-12-28 Issue: Volume: Page:188-192
ISSN:1694-7398
Container-title:MANAS Journal of Engineering
language:en
Short-container-title:MJEN

Author:

OMURALİEV Asan¹,ABYLAEVA Ella¹

Affiliation:

1. KYRGYZ - TURKISH MANAS UNIVERSITY

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.

Publisher

Kyrgyz-Turkish Manas University

Subject

General Medicine

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