Basis Property of Root Functions of Some Eigenvalue Problem With Spectral Parameter Contained in the Boundary Condition
Year: 2025
Type: article
Abstract: In this paper, we consider the boundary value problem which describes the small bending vibrations of homogeneous beam in cross-sections of which the longitudinal force acts, the left end of which is fixed, and the mass is concentrated on the right end.The oscillatory properties of eigenfunctions are studied and the basis property in ), 1 , 0 ( p L , 1 p of the system of root functions without one arbitrary remote function is established.
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4409530023