Complete Asymptotic Analysis of a Nonlinear Recurrence Relation with Threshold Control

We consider a three-term nonlinear recurrence relation involving a nonlinear filtering function with a positive threshold λ. We work out a complete asymptotic analysis for all solutions of this equation when the threshold varies from 0+ to +∞. It is found that all solutions eit...

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Bibliographic Details
Main Authors: Qi Ge, Chengmin Hou, Sui Sun Cheng
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2010/143849