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.
Publication Name (dc.title) | Asymptotics of the solution of the hyperbolic system with a small parameter |
Author/s (dc.contributor.yazarlar) | Asan OMURALİEV, Ella ABYLAEVA |
Publication type (dc.type) | Makale |
Language (dc.language) | İngilizce |
Publication year (dc.date.issued) | 2022 |
National/International (dc.identifier.ulusaluluslararasi) | Ulusal |
Source (dc.relation.journal) | MANAS Journal of Engineering (MJEN) |
Number (dc.identifier.issue) | 2 |
Volume/Issue (dc.identifier.volume) | 10 |
Page (dc.identifier.startpage) | 194-198 |
ISSN/ISBN (dc.identifier.issn) | Online ISSN: 1694-7398 |
Publisher (dc.publisher) | Kyrgyz - Turkish Manas University |
Databases (dc.contributor.veritaban) | Ulakbim (DergiPark) |
Databases (dc.contributor.veritaban) | EBSCOHost |
Index Type (dc.identifier.index) | Alan Indeks |
Abstract (dc.description.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. |
URL (dc.rights) | https://dergipark.org.tr/tr/pub/mjen/issue/74340/1017554 |
DOI (dc.identifier.doi) | 10.51354/mjen.1017554 |
Faculty / Institute (dc.identifier.fakulte) | Fen Fakültesi |
Department (dc.identifier.bolum) | Uygulamalı Matematik ve Enformatik Bölümü |
Author(s) in the Institution (dc.contributor.author) | Asan ÖMÜRALİEV |
Author(s) in the Institution (dc.contributor.author) | Ella ABILAYEVA |
Kayıt No (dc.identifier.kayitno) | BLC83A540A |
Record Add Date (dc.date.available) | 2023-02-13 |
Notes (Publication year) (dc.identifier.notyayinyili) | 2022 |
Subject Headings (dc.subject) | asymptotics |
Subject Headings (dc.subject) | singularly perturbed hyperbolic system |
Subject Headings (dc.subject) | cauchy problem |