V. B. Levenshtam, “Asymptotic analysis of linear differential equations with a large parameter: the resonance case”, Sibirsk. Mat. Zh., 2012, Volume 53, Number 1,Pages <nobr>124

This article is cited in 2 papers

Asymptotic analysis of linear differential equations with a large parameter: the resonance case

V. B. Levenshtam^ab

^a Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences, Rostov-on-Don
^b South Mathematical Institute of VSC RAS, Vladikavkaz

Abstract: We construct completely justified asymptotics for solutions to some classes of linear ordinary differential equations with slow and fast coefficients in presence of resonance conditions.

Keywords: linear differential equation, slow and fast coefficients, completely justified asymptotics for solutions.

UDC: 519.624

Received: 08.02.2011