Basis properties of a spectral problem with spectral parameter in the boundary condition

被引：22

作者：

Kerimov, N. B. ^{[1
]}

Aliev, Z. S.

机构：

[1] NAS Azerbaijan, Inst Math & Mech, Baku, Azerbaijan

[2] Baku State Univ, Baku, Azerbaijan

来源：

SBORNIK MATHEMATICS | 2006年 / 197卷 / 9-10期

关键词：

D O I：

10.1070/SM2006v197n10ABEH003808

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The following boundary-value problein is considered: [GRAPHICS] where lambda is the spectral parameter; Ty equivalent to y"' - qy'; q(x) is a strictly positive absolutely continuous function on [0, l]; a, b, c, and d are real constants such that bc - ad > 0. The oscillation properties of eigenfunctions are studied and asymptotic formulae for eigenvalues and eigenfunctions are deduced. The basis properties in L-p(0, l), 1 < p < infinity, of the system of eigenfunctions are investigated.

引用

页码：1467 / 1487

页数：21

共 20 条

[1] VIBRATIONS OF A PENDULUM CONSISTING OF A BOB SUSPENDED FROM A WIRE - THE METHOD OF INTEGRAL-EQUATIONS [J].