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Finite-Time Attractivity for Diagonally Dominant Systems with Off-Diagonal Delays.
- Source :
-
Abstract & Applied Analysis . 2012, p1-10. 10p. - Publication Year :
- 2012
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10853375
- Database :
- Academic Search Index
- Journal :
- Abstract & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 85039280
- Full Text :
- https://doi.org/10.1155/2012/210156