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.

引用

页码：5402 / 5408

页数：7

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