Spectral and oscillatory properties of a linear pencil of fourth-order differential operators

被引：11
|
作者：
Ben Amara, J. [1 ]
Shkalikov, A. A. [2 ]
Vladimirov, A. A. [3 ]
机构：
[1] Univ 7th November Carthage, Tunis, Tunisia
[2] Moscow MV Lomonosov State Univ, Moscow, Russia
[3] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2013年 / 94卷 / 1-2期
基金：
俄罗斯基础研究基金会;
关键词：
linear differential operator; initial boundary-value problem; pencil of operators; number of zeros of eigenfunctions; EQUATION;
D O I：
10.1134/S0001434613070055
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper deals with the spectral and oscillatory properties of a linear operator pencilA - lambda B, where the coefficient A corresponds to the differential expression (pyaEuro(3))aEuro(3) and the coefficient B corresponds to the differential expression -yaEuro(3) + cry. In particular, it is shown that all negative eigenvalues of the pencil are simple and, under some additional conditions, the number of zeros of the corresponding eigenfunctions is related to the serial number of the corresponding eigenvalue.
引用
收藏
页码：49 / 59
页数：11
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