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Asymptotic behaviour of a class of discontinuous difference equations

Published online by Cambridge University Press:  17 February 2009

M. E. Fisher  and
P. E. Kloeden
M. E. Fisher
Affiliation:
Department of Mathematics, University of W.A., Nedlands, Western Australia, 6009
P. E. Kloeden
Affiliation:
School of Mathematical and Physical Sciences, Murdoch University, Murdoch, Western Australia, 6153
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 20 , Issue 3 , June 1978 , pp. 370 - 374
Copyright
Copyright © Australian Mathematical Society 1978

References

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