We obtain sufficient conditions for the existence and uniqueness of a positive compact almost automorphic solution to a logistic equation with discrete and continuous delay. Moreover, we provide a counterexample to some results in literature which deal with the uniqueness of almost periodic solutions to logistic type equations.
Nous obtenons des conditions suffisantes pour l'existence et l'unicité d'une solution positive et compacte presque automorphe, d'une équation logistique avec retard discret et continu. De plus, nous donnons un contre-exemple à des résultats publiés, qui traitent l'unicité des solutions presque périodiques des équations de type logistique.
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Nadia Drisi 1; Brahim Es-sebbar 1
@article{CRMATH_2017__355_12_1208_0,
author = {Nadia Drisi and Brahim Es-sebbar},
title = {Almost automorphic solutions to logistic equations with discrete and continuous delay},
journal = {Comptes Rendus. Math\'ematique},
pages = {1208--1214},
publisher = {Elsevier},
volume = {355},
number = {12},
year = {2017},
doi = {10.1016/j.crma.2017.11.004},
language = {en},
}
TY - JOUR AU - Nadia Drisi AU - Brahim Es-sebbar TI - Almost automorphic solutions to logistic equations with discrete and continuous delay JO - Comptes Rendus. Mathématique PY - 2017 SP - 1208 EP - 1214 VL - 355 IS - 12 PB - Elsevier DO - 10.1016/j.crma.2017.11.004 LA - en ID - CRMATH_2017__355_12_1208_0 ER -
Nadia Drisi; Brahim Es-sebbar. Almost automorphic solutions to logistic equations with discrete and continuous delay. Comptes Rendus. Mathématique, Volume 355 (2017) no. 12, pp. 1208-1214. doi : 10.1016/j.crma.2017.11.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.11.004/
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