- MANAS Journal of Engineering
- Vol: 10 Issue: 2
- Asymptotics of the solution of the hyperbolic system with a small parameter
Asymptotics of the solution of the hyperbolic system with a small parameter
Authors : Asan Omuraliev, Ella Abylaeva
Pages : 188-192
Doi:10.51354/mjen.1017554
View : 13 | Download : 4
Publication Date : 2022-12-31
Article Type : Research
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