Existence and localization theorems for a discrete nonlinear eigenvalue problem

Authors:
Sui Sun Cheng;Fu-Yu Hsieh
Affiliations:
Department of Mathematics, Tsing Hua University Hsinchu, Taiwan 30043;Department of Mathematics, Tsing Hua University Hsinchu, Taiwan 30043
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2001

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Stability of traveling wavefronts for the discrete Nagumo equation

SIAM Journal on Mathematical Analysis

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Abstract

A nonlinear eigenvalue problem modeling the steady-state distribution of discrete reaction-diffusion processes is studied. Solutions of this problem are characterized by two parameters. The distributions of the pairs of parameters are then studied in detail for a number of special cases. General information is then drawn and subsequently proved.