Sufficient conditions for the global stability of nonautonomous higher order difference equations

Author: Berezansky Leonid  

Publisher: Taylor & Francis Ltd

ISSN: 1023-6198

Source: Journal of Difference Equations and Applications, Vol.11, Iss.9, 2005-08, pp. : 785-798

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Abstract

We present some explicit sufficient conditions for the global stability of the zero solution in nonautonomous higher order difference equations. The linear case is discussed in detail. We illustrate our main results with some examples. In particular, the stability properties of the equilibrium in a nonlinear model in macroeconomics is addressed.