Sharp eigenvalue asymptotics of fourth-order differential operators

被引：5
|
作者：
Polyakov, Dmitry M. [1 ]
机构：
[1] RAS, Southern Math Inst, Dept Math Anal, Vladikavkaz Sci Ctr, Markus 22, Vladikavkaz 362027, Russia
来源：
ASYMPTOTIC ANALYSIS | 2022年 / 130卷 / 3-4期
关键词：
Spectrum; eigenvalue asymptotics; fourth-order differential operator; trace formula; TRACE FORMULA; SPECTRAL-ANALYSIS;
D O I：
10.3233/ASY-221760
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two-term self-adjoint fourth-order differential operator with summable potential on the unit interval is considered. High energy eigenvalue asymptotics and the trace formula for this operator are obtained.
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页码：477 / 503
页数：27
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