Spectral asymptotics of self-adjoint fourth order boundary value problems with eigenvalue parameter dependent boundary conditions

被引：8

作者：

Moeller, Manfred ^{[1
]}

Zinsou, Bertin ^{[1
]}

机构：

[1] Univ Witwatersrand, John Knopfmacher Ctr Applicable Anal & Number The, Sch Math, Johannesburg, South Africa

来源：

BOUNDARY VALUE PROBLEMS | 2012年

关键词：

fourth order boundary value problems; self-adjoint; boundary conditions; eigenvalue distribution; pure imaginary eigenvalues; spectral asymptotics; DIFFERENTIAL-OPERATORS;

D O I：

10.1186/1687-2770-2012-106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A regular fourth order differential equation with lambda-dependent boundary conditions is considered. For four distinct cases with exactly one lambda-independent boundary condition, the asymptotic eigenvalue distribution is presented. MSC: 34L20, 34B07, 34B08, 34B09.

引用

页码：1 / 18

页数：18

共 15 条

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