Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem

We construct the asymptotic expansion of a solution of the Cauchy problem for a singularly perturbed system of differential equations whose right-hand side is discontinuous on a certain surface. We consider the case where the surface of discontinuity is crossed and estimate the remainder of the cons...

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Bibliographic Details
Date:1994
Main Authors: Mel'nik, T. A., Мельник, Т. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1994
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5589
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal