Unique solvability of singularly perturbed boundary-value problems with unstable spectrum of the limit operator

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.

Saved in:
Bibliographic Details
Published in:Mathematical Notes 2014, Vol.95 (1-2), p.202-205
Main Authors: Eliseev, A. G., Konyaev, Yu. A., Shaposhnikova, D. A.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0001-4346
1573-8876
DOI:10.1134/S0001434614010210