On the Eigenfunctions and Associated Functions of a Nonlocal Spectral Problem for a Biharmonic Equation
In this paper, a nonlocal spectral problem for the biharmonic equations in $$n$$ -dimensional ball is studied. It is proven that the problem has a complete system of eigenfunctions and associated functions in $$H^{\frac{3}{2}}(\Omega)$$ , and the eigenvalues asymptotically approach the real axis.
Authors
- Abdikhalik Arzikulov
Institutions
- Samarkand Institute of Economics and Service (UZ)
- Samarkand Institute of Veterinary Medicine (UZ)
Publication Details
- Journal
- Lobachevskii Journal of Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1134/s1995080224605265
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00