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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2015 Number 3, Pages 63–74 (Mi ivm8983)

This article is cited in 1 paper

A system of singularly perturbed equations with differential turning point of the 1st kind

I. A. Zelenskaya

Computer Laboratory, Kirovograd State Pedagogical University, 1 Shevchenko str., Kirovograd, 25006 Ukraine

Abstract: For a system of differential equations with small parameter at the higher derivative and turning point we construct uniform asymptotics of the solution. We consider the case when the spectrum of the boundary operator contains multiple elements and elements that identically equal zero.

Keywords: linear system, small parameter, turning point, Airy operator.

UDC: 517.9

Received: 03.09.2013


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:3, 55–65

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