BOTTOM ESTIMATES FOR THE MINIMAL EIGENVALUE OF THE BI-LAPLACIAN ON A GRAPH
Bottom estimates for the minimum eigenvalues of fourth-order differential operators on graphs are found. An analogue of the Picone identity for a fourth-order equation on a network is established. Comparison theorems of the Sturm type for such an equation are obtained.
Authors
- R. Ch. Kulaev (ORCID: https://orcid.org/0000-0002-1501-5024)
- S. A. Karkuzaev
Institutions
- North Ossetian State University (RU)
- Vladikavkaz Institute of Management (RU)
- Mathematical Institute of the Slovak Academy of Sciences (SK)
Publication Details
- Journal
- Дифференциальные уравнения
- Published
- 2024-11-13
- DOI
- https://doi.org/10.31857/s0374064124080032
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministry of Science and Higher Education of the Russian Federation