Sampling for the fourth-order Sturm-Liouville differential operator

被引：10
|
作者：
Boumenir, A [1 ]
机构：
[1] Univ W Georgia, Dept Math, Carrollton, GA 30118 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 278卷 / 02期
关键词：
D O I：
10.1016/S0022-247X(03)00014-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend the sampling method to compute the eigenvalues of a fourth-order differential operator. We show that the Shannon sampling theorem is not applicable due to the growth of the solutions on the real line. The inverse spectral theory, as developed by McLaughlin, and Kramer's theorem allow us to express the characteristic function explicitly by a new sampling formula. (C) 2003 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：542 / 550
页数：9
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