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.

引用

页码：31 / 46

页数：16

共 25 条

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