@article{article_1017554, title={Asymptotics of the solution of the hyperbolic system with a small parameter}, journal={MANAS Journal of Engineering}, volume={10}, pages={194–198}, year={2022}, DOI={10.51354/mjen.1017554}, author={Omuraliev, Asan and Abylaeva, Ella}, keywords={Asymptotics, singularly perturbed hyperbolic system, Cauchy problem}, abstract={<div style="text-align:justify;">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. </div>}, number={2}, publisher={Kyrgyz-Turkish Manas University}