Investigation of the dimension of the spectral projection of a self-adjoint second order quasidifferential operator
Year: 2024
Type: article
Abstract: Let λ1and λ2be real, λ1< λ2, functionsψ_( λi,t) be solutions to the second order quasidifferential equationsLψ_= λiP0ψ_,i= 1, 2, satisfying a homogeneous boundary condition at pointа. We express the number of eigenvalues of operatorL, belonging to the interval (λ1, λ2) (or the dimension of its spectral projection relative to the interval (λ1, λ2), in terms of the number of zeros of the Vronskian composed for the functionsψ_(λ1,t) andψ_(λ2,t).
Source: Russian Mathematics
Author: M. Yu. Vatolkin
Institution: Izhevsk State Technical University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4401790677