SPECTRAL PROPERTIES FOR THE EQUATION OF VIBRATING BEAM

被引：0
|
作者：
Aliyev, Ziyatkhan S. [1 ,2 ]
Guliyeva, Sevinc B. [3 ]
机构：
[1] Baku State Univ, AZ-1148 Baku, Azerbaijan
[2] Natl Acad Sci Azerbaijan, Inst Math & Mech, AZ-1141 Baku, Azerbaijan
[3] Ganja State Univ, AZ-2000 Ganja, Azerbaijan
来源：
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2015年 / 41卷 / 01期
关键词：
fourth order eigenvalue problems; spectral parameter in the boundary condition; regular and completely regular Sturmian systems; eigenvalue; oscillatory properties of the eigenfunctions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the properties of the natural frequencies and the corresponding harmonics of transverse vibrations of a rod is exposed to tracking and axial forces. It is known that problems of this type leads to a spectral fourth-order problem with spectral parameter in the boundary conditions. We study the general characteristics of the location of the eigenvalues on the real axis and oscillation properties of eigenfunctions of these problems.
引用
收藏
页码：135 / 145
页数：11
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