A sufficient condition is obtained for the existence of a globally asymptotically stable positive almost periodic solution of a discrete logistic equation. The sufficient condition becomes a necessary and sufficient condition for the global asymptotic stability of the positive equilibrium of the corresponding autonomous equation.
Publié le : 2000-05-14
Classification:
Persistence,
almost periodic sequence,
global asymptotic stability,
92D25,
34K20
@article{1178224661,
author = {Mohamad, Sannay and Gopalsamy, Kondalsamy},
title = {Extreme stability and almost periodicity in a discrete logistic equation},
journal = {Tohoku Math. J. (2)},
volume = {52},
number = {4},
year = {2000},
pages = { 107-125},
language = {en},
url = {http://dml.mathdoc.fr/item/1178224661}
}
Mohamad, Sannay; Gopalsamy, Kondalsamy. Extreme stability and almost periodicity in a discrete logistic equation. Tohoku Math. J. (2), Tome 52 (2000) no. 4, pp. 107-125. http://gdmltest.u-ga.fr/item/1178224661/