This article is cited in 2 papers

The Cauchy problem for Tikhonov’s system in the case of a multiple root of the degenerate equation

M. V. Butuzova

Faculty of Physics, Moscow State University, Moscow, 119992, Russia

Abstract: For a system of the Tikhonov type in the case of a double root of the degenerate equation, the asymptotics of the boundary-layer solution is constructed and justified. The character of the asymptotics and the algorithm for constructing it differ substantially from the classical case when the degenerate equation has a simple root.

Key words: singularly perturbed system of Tikhonov-type ordinary differential equations, boundary-layer asymptotics, the case of a multiple root of the degenerate equation, algorithms for construction of asymptotics.

UDC: 519.622.2

Received: 17.05.2014

DOI: 10.7868/S0044466915010068

 English version: Computational Mathematics and Mathematical Physics, 2015, 55:1, 31–42

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