Discrete nonlinear equations and the Fu??¡äk Spectrum

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• 作者：Stephen B. Robinson ; ^sbr@wfu.edu ; Yilin Yang ^{yangy210@wfu.edu}
• 关键词：15A99 ; 65H10 ; 35P30 ; 15A24
• 刊名：Linear Algebra and its Applications
• 出版年：2012
• 出版时间：1 August, 2012
• 年：2012
• 卷：437
• 期：3
• 页码：917-931
• 全文大小：482 K

文摘

We consider matrix-vector equations of the form that are motivated by nonlinear oscillating systems such as the Tacoma Narrows Bridge. We identify a particular set, called the Fu??¡äk Spectrum, which is relevant to questions of solvability, and we develop theorems to describe the spectrum and show how it relates to the solvability of the matrix equation.