Spectral properties of a fourth order eigenvalue problem with spectral parameter in the boundary conditions

Autor:	B Sevinc Guliyeva, S Ziyatkhan Aliyev
Rok vydání:	2018
Předmět:	010101 applied mathematics Fourth order General Mathematics 010102 general mathematics Spectral properties Mathematical analysis Boundary value problem 0101 mathematics 01 natural sciences Eigenvalues and eigenvectors Mathematics
Zdroj:	Filomat. 32:2421-2431
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil1807421a
Popis:	In this paper we consider the eigenvalue problem for fourth order ordinary differential equation that describes the bending vibrations of a homogeneous rod, in cross-sections of which the longitudinal force acts, the left end of which is fixed rigidly and on the right end an inertial mass is concentrated. We characterize the location of the eigenvalues on the real axis, we investigate the structure of root spaces and oscillation properties of eigenfunctions and their derivatives, we study the basis properties in the space Lp, 1 < p < ?, of the system of eigenfunctions of considered problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::30d0c7cc7b79296782d15714ed3e9637 https://doi.org/10.2298/fil1807421a Zobrazit plný text záznamu