Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem

• Datum: 1994
• Hauptverfasser: Mel'nik, T. A., Мельник, Т. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5589
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...