%0 Journal Article
%T Strictly Increasing Solutions of Nonautonomous Difference Equations Arising in Hydrodynamics
%A Rach£¿nek Luk¨¢£¿
%A Rach£¿nkov¨¢ Irena
%J Advances in Difference Equations
%D 2010
%I Springer
%X The paper provides conditions sufficient for the existence of strictly increasing solutions of the second-order nonautonomous difference equation , , where is a parameter and is Lipschitz continuous and has three real zeros . In particular we prove that for each sufficiently small there exists a solution such that is increasing, and . The problem is motivated by some models arising in hydrodynamics.
%U http://www.advancesindifferenceequations.com/content/2010/714891