A. G. Eliseev, Yu. A. Konyaev, D. A. Shaposhnikova, “Unique Solvability of Singularly Perturbed Boundary-Value Problems with Unstable Spectrum of the Limit Operator”, Mat. Zametki, 2014, Volume 95, Issue 2,Pages <nobr>222

This article is cited in 1 paper

Unique Solvability of Singularly Perturbed Boundary-Value Problems with Unstable Spectrum of the Limit Operator

A. G. Eliseev^a, Yu. A. Konyaev^b, D. A. Shaposhnikova^a

^a National Research University "Moscow Power Engineering Institute"
^b Peoples Friendship University of Russia, Moscow

Abstract: The paper contains an asymptotic study of solutions of singularly perturbed boundary-value problems in the case of a limit operator with unstable spectrum. The main singularities of the solution are described and the principal term of the asymptotics is constructed.

Keywords: singularly perturbed boundary-value problem, unstable spectrum of the limit operator, regularization method, nonlocal boundary-value problem, turning point.

UDC: 517.925

Received: 06.09.2011
Revised: 09.04.2013

DOI: 10.4213/mzm9250