Semiclassical asymptotics of the vector Sturm-Liouville problem

A. Kryvko; V. V. Kucherenko

doi:10.1134/S1061920806020051

Semiclassical asymptotics of the vector Sturm-Liouville problem

A. Kryvko, V. V. Kucherenko

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The vector Sturm-Liouville problem for the system with a small parameter at the derivatives is considered. Asymptotics of eigenvalues and eigenfunctions are constructed for the case in which the symbol of the problem has eigenvalues of variable multiplicity.

Original language	English
Pages (from-to)	188-202
Number of pages	15
Journal	Russian Journal of Mathematical Physics
Volume	13
Issue number	2
DOIs	https://doi.org/10.1134/S1061920806020051
State	Published - 2006

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title = "Semiclassical asymptotics of the vector Sturm-Liouville problem",

abstract = "The vector Sturm-Liouville problem for the system with a small parameter at the derivatives is considered. Asymptotics of eigenvalues and eigenfunctions are constructed for the case in which the symbol of the problem has eigenvalues of variable multiplicity.",

author = "A. Kryvko and Kucherenko, {V. V.}",

note = "Funding Information: This work was partially supported by the CONACYT Mexico grant No. 4297F and by CGEPI IPN Mexico grant.",

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doi = "10.1134/S1061920806020051",

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pages = "188--202",

journal = "Russian Journal of Mathematical Physics",

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T1 - Semiclassical asymptotics of the vector Sturm-Liouville problem

AU - Kryvko, A.

AU - Kucherenko, V. V.

N1 - Funding Information: This work was partially supported by the CONACYT Mexico grant No. 4297F and by CGEPI IPN Mexico grant.

PY - 2006

Y1 - 2006

N2 - The vector Sturm-Liouville problem for the system with a small parameter at the derivatives is considered. Asymptotics of eigenvalues and eigenfunctions are constructed for the case in which the symbol of the problem has eigenvalues of variable multiplicity.

AB - The vector Sturm-Liouville problem for the system with a small parameter at the derivatives is considered. Asymptotics of eigenvalues and eigenfunctions are constructed for the case in which the symbol of the problem has eigenvalues of variable multiplicity.

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U2 - 10.1134/S1061920806020051

DO - 10.1134/S1061920806020051

M3 - Artículo

SN - 1061-9208

VL - 13

SP - 188

EP - 202

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

IS - 2

ER -

Semiclassical asymptotics of the vector Sturm-Liouville problem

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