中科院数学与系统科学研究院
数学研究所
非线性分析研讨班
报告人：马如云 教授（西安电子科技大学）
题 目：Spectrum theory of second order difference operators with indefinite weight
时 间：2021.07.09（星期五） 14:30-15:30
地 点：腾讯会议 466 552 610
摘 要：In We study the spectrum structure of second-order difference operators with sign-changing weight. We apply the Sylvester inertia theorem to show that the spectrum consists of real and simple eigenvalues; the number of positive eigenvalues is equal to the number of positive elements in the weight function, and the number of negative eigenvalues is equal to the number of negative elements in the weight function. We also show that the eigenfunction corresponding to the j-th positive/negative eigenvalue changes its sign exactly j-1 times.
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