Spectral Data Asymptotics for Fourth-Order Boundary Value Problems

被引：0
|
作者：
Bondarenko, Natalia P. [1 ,2 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Saratov, Russia
[2] Saratov NG Chernyshevskii State Univ, Saratov 410012, Russia
来源：
BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS | 2024年 / 47卷
基金：
俄罗斯科学基金会;
关键词：
fourth-order differential operators; distribution coefficients; eigenvalue asym- ptotics; weight numbers; DIFFERENTIAL-OPERATORS; EIGENVALUE; PARAMETER; ORDER;
D O I：
10.26516/1997-7670.2024.47.31
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we derive sharp asymptotics for the spectral data (eigenvalues and weight numbers) of the fourth -order linear differential equation with a distribution coefficient and three types of separated boundary conditions. Our methods rely on the recent results concerning regularization and asymptotic analysis for higher -order differential operators with distribution coefficients. The results of this paper have applications to the theory of inverse spectral problems as well as a separate significance.
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页码：31 / 46
页数：16
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