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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An asymptotic stability result for scalar delayed population models


Author: Teresa Faria
Journal: Proc. Amer. Math. Soc. 132 (2004), 1163-1169
MSC (2000): Primary 34K20, 34K25
Published electronically: August 21, 2003
MathSciNet review: 2045433
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Abstract: We give sufficient conditions for the global asymptotic stability of the scalar delay differential equation $\dot x(t)=(1+x(t))F(t,x_t)$, without assuming that zero is a solution. A result of Yorke (1970) is revisited.


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Additional Information

Teresa Faria
Affiliation: Departamento de Matemática, Faculdade de Ciências, and CMAF, Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, Portugal
Email: tfaria@lmc.fc.ul.pt

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07237-X
PII: S 0002-9939(03)07237-X
Received by editor(s): December 18, 2002
Published electronically: August 21, 2003
Additional Notes: This work was partially supported by FCT (Portugal) under CMAF and project POCTI/ 32931/MAT/2000.
Communicated by: Carmen C. Chicone
Article copyright: © Copyright 2003 American Mathematical Society