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Asymptotic behaviour of a class of discontinuous difference equations
Published online by Cambridge University Press: 17 February 2009
Abstract
Sufficient conditions for an equilibrium point to be an attractor or a global attractor are derived for a class of first-order difference equations which need not be continuous at the equilibrium point. These conditions involve Lyapunovlike functions which need not be continuous and are applied to the logistic equation with a piecewise continuous control.
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- Copyright © Australian Mathematical Society 1978
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