文章基本信息

标题：Eigenvalue comparisons for boundary value problems of the discrete beam equation
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作者：Jun Ji ; Bo Yang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2006
卷号：2006
期号：1
页码：081025
DOI：10.1155/ADE/2006/81025
语种：English
出版社：Hindawi Publishing Corporation
摘要：We study the behavior of all eigenvalues for boundary value problems of fourth-order difference equations Δ4y i = λai+2yi+2, -1≤i≤n-2, y0 = Δ2y-1 = Δy n = Δ3yn-1 = 0, as the sequence varies. A comparison theorem of all eigenvalues is established for two sequences and with a j ≥ b j , 1 ≤ j ≤ n, and the existence of positive eigenvector corresponding to the smallest eigenvalue of the problem is also obtained in this paper.
关键词：Differential Equation ; Partial Differential Equation ; Ordinary Differential Equation ; Functional Analysis ; Functional Equation