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Applicable Analysis
An International Journal
Volume 75, 2000 - Issue 3-4
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Original Articles

On the global attractivity periodicity and oscilation of a single neuron mondel

H.A. El-Morshedy Department of mathematics and Statistics, The Flinders University of South Australia, Adelaide 5001, Australia, 2100
&
K. Gopalsamy Department of mathematics and Statistics, The Flinders University of South Australia, Adelaide 5001, Australia, 2100
Pages 267-283 | Received 01 Oct 1999, Published online: 02 May 2007
 
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Abstract

A nonlinear delay integral equation modeling the response of a nenron under external stimulus and threshold effects in investigated. We study the global attractivity of the equilibrium as well as the existence of a pcriodic solutions of the system. Sufficient Conditions for oscillation (nonoscillation) of all solutions are obtained.

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