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New explicit global asymptotic stability criteria for higher order difference equations
Journal article   Peer reviewed

New explicit global asymptotic stability criteria for higher order difference equations

Hassan A. El-Morshedy
Journal of mathematical analysis and applications, Vol.336(1), pp.262-276
01/12/2007
DOI: https://doi.org/10.1016/j.jmaa.2006.12.049

Abstract

Global asymptotic stability Higher order difference equations
New explicit sufficient conditions for the asymptotic stability of the zero solution of higher order difference equations are obtained. These criteria can be applied to autonomous and nonautonomous equations. The celebrated Clark asymptotic stability criterion is improved. Also, applications to models from mathematical biology and macroeconomics are given.

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