Publication Date:
2012-01-01
Description:
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.
Print ISSN:
1085-3375
Electronic ISSN:
1687-0409
Topics:
Mathematics
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