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«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2024. Vol 47

Spectral Data Asymptotics for Fourth-Order Boundary Value Problems

Author(s)
Natalia P. Bondarenko1

1Saratov State University, Saratov, Russian Federation

Abstract
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.
About the Authors
Natalia P. Bondarenko, Dr. Sci. (Phys.–Math.), Assoc. Prof., Saratov State University, Saratov, 410012, Russian Federation, bondarenkonp@sgu.ru
For citation
Bondarenko N. P. Spectral Data Asymptotics for Fourth-Order Boundary Value Problems. The Bulletin of Irkutsk State University. Series Mathematics, 2024, vol. 47, pp. 31–46. https://doi.org/10.26516/1997-7670.2024.47.31
Keywords
fourth-order differential operators, distribution coefficients, eigenvalue asymptotics, weight numbers
UDC
517.984
MSC
34L20, 34B09, 34B05, 34E05, 46F10
DOI
https://doi.org/10.26516/1997-7670.2024.47.31
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