Ziyatkhan S. Aliyev, Faiq M. Namazov
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
,
, of the subsystems of eigenfunctions of this
problem.
Submitted August 29, 2017. Published December 14, 2017.
Math Subject Classifications: 34B05, 34B09, 34B24.
Key Words: Bending vibrations of a homogeneous rod; fourth order ODE;
oscillation properties of eigenfunctions;
basis properties of eigenfunctions.
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Ziyatkhan S. Aliyev Baku State University Baku AZ1148, Azerbaijan email: z_aliyev@mail.ru | |
Faiq M. Namazov Baku State University Baku AZ1148, Azerbaijan email: faig-namazov@mail.ru |
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