An asymptotic stability result for scalar delayed population models
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- by Teresa Faria
- Proc. Amer. Math. Soc. 132 (2004), 1163-1169
- DOI: https://doi.org/10.1090/S0002-9939-03-07237-X
- Published electronically: August 21, 2003
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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.References
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Bibliographic 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
- 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
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 1163-1169
- MSC (2000): Primary 34K20, 34K25
- DOI: https://doi.org/10.1090/S0002-9939-03-07237-X
- MathSciNet review: 2045433