Discrete nonlinear equations and the Fucik Spectrum

作者:Robinson Stephen B*; Yang Yilin
来源:Linear Algebra and Its Applications, 2012, 437(3): 917-931.
DOI:10.1016/j.laa.2012.03.016

摘要

We consider matrix-vector equations of the form Ax = f(x) that are motivated by nonlinear oscillating systems such as the Tacoma Narrows Bridge. We identify a particular set, called the Fucik 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.

  • 出版日期2012-8-1