Finite-Time Attractivity for Diagonally Dominant Systems with Off-Diagonal Delays

Abstract and Applied Analysis. 2012;2012 DOI 10.1155/2012/210156


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Journal Title: Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)

Publisher: Hindawi Limited

LCC Subject Category: Science: Mathematics

Country of publisher: United Kingdom

Language of fulltext: English

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T. S. Doan (Department of Mathematics, Imperial College London, London SW7 2AZ, UK)
S. Siegmund (Center for Dynamics, TU Dresden, 01062 Dresden, Germany)


Blind peer review

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Time From Submission to Publication: 27 weeks


Abstract | Full Text

We introduce a notion of attractivity for delay equations which are defined on bounded time intervals. Our main result shows that linear delay equations are finite-time attractive, provided that the delay is only in the coupling terms between different components, and the system is diagonally dominant. We apply this result to a nonlinear Lotka-Volterra system and show that the delay is harmless and does not destroy finite-time attractivity.