Basis properties of a fourth order differential operator with spectral parameter in the boundary condition

被引：27

作者：

Aliyev, Ziyatkhan S. ^{[1
]}

机构：

[1] Baku State Univ, Dept Math Anal, Baku, Azerbaijan

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2010年 / 8卷 / 02期

关键词：

Fourth order eigenvalue problem; Spectral parameter in the boudary condition; Oscillation properties of eigenfunctions; Basis properties of the system of eigenfunctions; VIBRATING BEAM; EIGENVALUE PARAMETER; EQUATION; EIGENFUNCTIONS;

D O I：

10.2478/s11533-010-0002-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a fourth order eigenvalue problem containing a spectral parameter both in the equation and in the boundary condition. The oscillation properties of eigenfunctions are studied and asymptotic formulae for eigenvalues and eigenfunctions are deduced. The basis properties in L (p) (0; l); p a (1;a); of the system of eigenfunctions are investigated.

引用

页码：378 / 388

页数：11

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