Asymptotics of the eigenvalues of a fourth order differential operator with eigenvalue dependent and periodic boundary conditions

被引：0

作者：

Moletsane, Boitumelo ^{[1
]}

Zinsou, Bertin ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Math, Private Bag 3, ZA-2050 Johannesburg, South Africa

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2023年 / 30卷 / 01期

关键词：

Key words and phrases; Fourth order differential operator; eigenvalue dependent boundary conditions; periodic boundary conditions; operator polynomial; eigenvalue asymptotic distribu-tion;

D O I：

10.36045/j.bbms.210416a

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A fourth order differential operator with eigenvalue parameter dependent and periodic boundary conditions is considered. This problem is realized by an operator polynomial with self-adjoint operators. The eigenvalues are investigated and their asymptotics are provided.

引用

页码：1 / 18

页数：18

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