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Oscillation and global asymptotic stability of a neuronic equation with two delays
Journal article   Open access  Peer reviewed

Oscillation and global asymptotic stability of a neuronic equation with two delays

Hassan A. El-Morshedy and B. M. El-Matary
Electronic journal of qualitative theory of differential equations, Vol.2008(6), pp.1-21
01/01/2008
DOI: https://doi.org/10.14232/ejqtde.2008.1.6

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we study the oscillatory and global asymptotic stability of a single neuron model with two delays and a general activation function. New sufficient conditions for the oscillation and nonoscillation of the model are given. We obtain both delay-dependent and delay-independent global asymptotic stability criteria. Some of out results are new even for models with one delay.
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https://doi.org/10.14232/ejqtde.2008.1.6View
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