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.
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页码：1 / 18
页数：18
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