Eigenvalue comparisons for a class of boundary value problems of discrete beam equation

被引：3
|
作者：
Ji, Jun [1 ]
Yang, Bo [1 ]
机构：
[1] Kennesaw State Univ, Dept Math & Stat, Kennesaw, GA 30144 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 09期
关键词：
Boundary value problem; Difference equation; Discrete beam equation; Eigenvalue comparison;
D O I：
10.1016/j.amc.2011.11.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the structure of eigenvalues of a class of boundary value problems of fourth order difference equation Delta(4)y(i) + b(i+2)y(i+2) = lambda a(i+2)y(i+2), -1 <= i <= n -2, Delta y(0) = Delta(3)y (1) = Delta y(n) = Delta(3)y(n) (1) = 0. The monotone behavior of the eigenvalues as the sequences {a(i)}(i-1)(n) and {b(i)}(i-1)(n) change is obtained in this paper. (C) 2011 Elsevier Inc. All rights reserved.
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页码：5402 / 5408
页数：7
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