Article

On the Eigenfunctions and Associated Functions of a Nonlocal Spectral Problem for a Biharmonic Equation

Abdikhalik ArzikulovUzbekistan-Finland Pedagogical Institute, 140100, Samarkand, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2025en

ABI

Abstract

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.

Topics

Differential Equations and Boundary Problems Spectral Theory in Mathematical Physics Differential Equations and Numerical Methods

Identifiers

DOI: 10.1134/s1995080224605265

Citations and references

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