Eigenvalues of discrete linear second-order periodic and antiperiodic eigenvalue problems with sign-changing weight

Chenghua Gao,Ruyun Ma

doi:10.1016/j.laa.2014.11.002

Eigenvalues of discrete linear second-order periodic and antiperiodic eigenvalue problems with sign-changing weight

Chenghua Gao, Ruyun Ma

Open Access

https://doi.org/10.1016/j.laa.2014.11.002

Copy DOI

Journal: Linear Algebra and Its Applications	Publication Date: Nov 19, 2014
Citations: 20	License type: publisher-specific-oa

Affiliation: Northwest Normal University

#Numbers Of Positive Eigenvalues #Numbers Of Negative Eigenvalues + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

By virtue of the eigenvalues of discrete linear second-order Neumann eigenvalue problems, we study the eigenvalues of discrete linear second-order periodic and antiperiodic eigenvalue problems with sign-changing weight. We find that these two problems have T real eigenvalues (including the multiplicity) respectively. Furthermore, the numbers of positive eigenvalues are equal to the numbers of positive elements in the weight function, and the numbers of negative eigenvalues are equal to the numbers of negative elements in the weight function. Furthermore, these eigenvalues, including the eigenvalues of Neumann problem, satisfy the order relation.

Full Text