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Asymptotics of the solution of the hyperbolic system with a small parameter
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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.
Title: Asymptotics of the solution of the hyperbolic system with a small parameter
Description:
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.
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