Spectral properties of a fourth-order eigenvalue problem with spectral parameter in the boundary conditions
Date
2017-12-14
Authors
Aliyev, Ziyatkhan
Namazov, Faiq
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we consider eigenvalue problems for fourth-order ordinary differential equation with spectral parameter in boundary conditions. We study the location of eigenvalues on the real axis, find the multiplicities of eigenvalues, investigate the oscillation properties of eigenfunctions, and the basis properties in the space Lp, 1 < p < ∞, of the subsystems of eigenfunctions of this problem.
Description
Keywords
Bending vibrations of a homogeneous rod, Fourth order ODE, Oscillation properties of eigenfunctions, Basis properties of eigenfunctions
Citation
Aliyev, Z. S., & Namazov, F. M. (2017). Spectral properties of a fourth-order eigenvalue problem with spectral parameter in the boundary conditions. <i>Electronic Journal of Differential Equations, 2017</i>(307), pp. 1-11.