Asymptotics of the Spectrum of a Singular Nonsemibounded Fourth-Order Vector Differential Operator in a Vector Function Space

被引：0

作者：

Myakinova, O. V. ^{[1
]}

Sultanaev, Ya. T. ^{[1
]}

机构：

[1] Bashkir State Univ, Ufa 450074, Bashkortostan, Russia

来源：

DOKLADY MATHEMATICS | 2010年 / 81卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Rotation Velocity; Asymptotic Formula; DOKLADY Mathematic; Eigenvalue Distribution; Tauberian Theorem;

D O I：

10.1134/S1064562410030038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The asymptotics of the spectrum of a fourth-order vector differential operator which takes into account the contribution of the rotation velocity of eigenvectors of a potential matrix has been recorded. The asymptotics of the spectrum of a self-adjoint extension of L0 are analyzed using Carleman's method. The spectral properties of nonsemi-bounded Sturm-Liouville vector operator have also been examined.

引用

页码：348 / 350

页数：3

共 6 条

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[3]

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[4]

Kostyuchenko A. G., 1979, Eigenvalue Distribution (Self-Adjoint Ordinary Differential Operators)

[5]

Naimark M.A., 1967, LINEAR DIFFERENTIAL

[6]

SULTANAEV YT, 1974, DIFFERENTISIALNYE UR, V10, P1673

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