Spectral Data Asymptotics for Fourth-Order Boundary Value Problems
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 as...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Irkutsk State University
2024-03-01
|
| Series: | Известия Иркутского государственного университета: Серия "Математика" |
| Subjects: | |
| Online Access: | https://mathizv.isu.ru/en/article/file?id=1478 |
| _version_ | 1827332054323298304 |
|---|---|
| author | N. P. Bondarenko |
| author_facet | N. P. Bondarenko |
| author_sort | N. P. Bondarenko |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-07T16:52:16Z |
| format | Article |
| id | doaj.art-9cffa1f6de8f4d54a9ea8e694302a500 |
| institution | Directory Open Access Journal |
| issn | 1997-7670 2541-8785 |
| language | English |
| last_indexed | 2024-03-07T16:52:16Z |
| publishDate | 2024-03-01 |
| publisher | Irkutsk State University |
| record_format | Article |
| series | Известия Иркутского государственного университета: Серия "Математика" |
| spelling | doaj.art-9cffa1f6de8f4d54a9ea8e694302a5002024-03-03T04:42:18ZengIrkutsk State UniversityИзвестия Иркутского государственного университета: Серия "Математика"1997-76702541-87852024-03-014713146https://doi.org/10.26516/1997-7670.2024.47.31Spectral Data Asymptotics for Fourth-Order Boundary Value ProblemsN. P. BondarenkoIn 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.https://mathizv.isu.ru/en/article/file?id=1478fourth-order differential operatorsdistribution coefficientseigenvalue asymptoticsweight numbers |
| spellingShingle | N. P. Bondarenko Spectral Data Asymptotics for Fourth-Order Boundary Value Problems Известия Иркутского государственного университета: Серия "Математика" fourth-order differential operators distribution coefficients eigenvalue asymptotics weight numbers |
| title | Spectral Data Asymptotics for Fourth-Order Boundary Value Problems |
| title_full | Spectral Data Asymptotics for Fourth-Order Boundary Value Problems |
| title_fullStr | Spectral Data Asymptotics for Fourth-Order Boundary Value Problems |
| title_full_unstemmed | Spectral Data Asymptotics for Fourth-Order Boundary Value Problems |
| title_short | Spectral Data Asymptotics for Fourth-Order Boundary Value Problems |
| title_sort | spectral data asymptotics for fourth order boundary value problems |
| topic | fourth-order differential operators distribution coefficients eigenvalue asymptotics weight numbers |
| url | https://mathizv.isu.ru/en/article/file?id=1478 |
| work_keys_str_mv | AT npbondarenko spectraldataasymptoticsforfourthorderboundaryvalueproblems |