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math.DS2010

On the global attractivity and oscillations in a class of second order difference equations from macroeconomics

Hassan A. El-Morshedy

New global attractivity criteria are obtained for the second order difference equation \[ x_{n+1}=cx_{n}+f(x_{n}-x_{n-1}),\quad n=1, 2, ... \] via a Lyapunov-like method. Some of t…