Discrete analogue of Fučík spectrum of the Laplacian
type: Item
instance of: scholarly article
title: Discrete analogue of Fučík spectrum of the Laplacian
zbMATH Open document ID: 0944.15007
DOI: 10.1016/S0377-0427(98)00243-X
author: Pedro C. Espinoza
published in: Journal of Computational and Applied Mathematics
publication date: 2000-06-04T00:00:00Z
review text: The Fučík spectrum of the Laplacian with a Dirichlet boundary condition \((-\Delta u=\alpha u^+-\beta u^-)\) and the discrete analog of the Fučík spectrum for the matrix \(A\) \((M\)-matrices) are considered. This analog has properties similar to those of the continuum. The Fučík spectrum of an \(M\)-matrix contains a continuous and decreasing curve which is symmetric with respect to the diagonal. The role of the function \(\psi(x)= \langle Ax,x \rangle-\lambda_1\|x\|^2\) on the discrete analog is studied.
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 1331038
zbMATH Keywords: discrete Laplacian
zbMATH Keywords: \(M\)-matrix
zbMATH Keywords: Fučík spectrum
MaRDI profile type: Publication
cites work: On the first curve of the Fučik spectrum of an elliptic operator
cites work: Q5185568
cites work: Positive Ordered Solutions of a Discrete Analogue of a Nonlinear Elliptic Eigenvalue Problem
cites work: Q5342712
full work available at URL: s0377-0427(98)00243-x
OpenAlex ID: W2081629926
description: scientific article; zbMATH DE number 1331038