[Solutions presque automorphes des équations logistiques avec retard discret et continu]
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.
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.
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@article{CRMATH_2017__355_12_1208_0,
author = {Drisi, Nadia and Es-sebbar, Brahim},
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},
url = {http://www.numdam.org/articles/10.1016/j.crma.2017.11.004/}
}
TY - JOUR AU - Drisi, Nadia AU - Es-sebbar, Brahim 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 UR - http://www.numdam.org/articles/10.1016/j.crma.2017.11.004/ DO - 10.1016/j.crma.2017.11.004 LA - en ID - CRMATH_2017__355_12_1208_0 ER -
%0 Journal Article %A Drisi, Nadia %A Es-sebbar, Brahim %T Almost automorphic solutions to logistic equations with discrete and continuous delay %J Comptes Rendus. Mathématique %D 2017 %P 1208-1214 %V 355 %N 12 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2017.11.004/ %R 10.1016/j.crma.2017.11.004 %G en %F CRMATH_2017__355_12_1208_0
Drisi, Nadia; Es-sebbar, Brahim. Almost automorphic solutions to logistic equations with discrete and continuous delay. Comptes Rendus. Mathématique, Tome 355 (2017) no. 12, pp. 1208-1214. doi : 10.1016/j.crma.2017.11.004. http://www.numdam.org/articles/10.1016/j.crma.2017.11.004/
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