Open AccessEigenvalues of fourth-order boundary value problems with distributional potentials
Author(s) -
Haiyan Zhang,
AUTHOR_ID,
Ji-jun Ao,
Fang-zhen Bo,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022407
Subject(s) - eigenvalues and eigenvectors , boundary value problem , mathematics , order (exchange) , value (mathematics) , boundary values , mathematical analysis , boundary (topology) , physics , statistics , quantum mechanics , finance , economics
This paper aims to investigate the fourth-order boundary value problems with distributional potentials. We first prove that the operators associated with the problems are self-adjoint and the corresponding eigenvalues are real. Then we obtain that the eigenvalues of the problems depend not only continuously but also smoothly on the parameters of the problems: the boundary conditions, the coefficient functions and the endpoints. Moreover, we find the differential expressions for each parameter.