Strictly Increasing Solutions of Nonautonomous Difference Equations Arising in Hydrodynamics

The paper provides conditions sufficient for the existence of strictly increasing solutions of the second-order nonautonomous difference equation x(n+1)=x(n)+(n/(n+1))2(x(n)-x(n-1)+h2f(x(n))), n∈N, where h>0 is a parameter and f is Lipschitz continuous and has three real zero...

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Bibliographic Details
Main Authors: Lukáš Rachůnek, Irena Rachůnková
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2010/714891

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