Asymptotics of the spectrum of nonsmooth perturbations of differential operators of order 2m

被引：10

作者：

Akhmerova, E. F. ^{[1
]}

机构：

[1] Bashkir State Univ, Ufa 450074, Russia

来源：

MATHEMATICAL NOTES | 2011年 / 90卷 / 5-6期

关键词：

perturbation of a differential operator; spectrum of perturbations; quasidifferential expression; Hilbert space; Dirichlet boundary conditions; resolvent of an operator; STURM-LIOUVILLE OPERATORS; SINGULAR POTENTIALS; TRACE FORMULA; EIGENVALUES;

D O I：

10.1134/S0001434611110216

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On a finite closed interval, we obtain the asymptotics of the eigenvalues of a differential operator of order 2m perturbed by a differential operator of order 2m - 2 given by a quasidifferential expression. We also consider the case of multiple eigenvalues.

引用

页码：813 / 823

页数：11

共 11 条

[1]

Akhmerova EF, 2007, RUSS MATH, V51, P69, DOI 10.3103/S1066369X07110096

[2] Spectral asymptotics for nonsmooth perturbations of the harmonic oscillator [J].