A parameter dependent nonlinear differential-delay equation in a Banach space is investigated. It is shown that if at the critical value of the parameter the problem satisfies a condition of linearized stability then the problem exhibits a stability which is uniform with respect to the whole range of the parameter values. The general theorem is applied to a diffusion system with applications in biology.
@article{bwmeta1.element.bwnjournal-article-apmv65z3p271bwm,
author = {J. J. Koliha and Ivan Stra\v skraba},
title = {Stabilization of solutions to a differential-delay equation in a Banach space},
journal = {Annales Polonici Mathematici},
volume = {66},
year = {1997},
pages = {271-281},
zbl = {0879.34070},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv65z3p271bwm}
}
J. J. Koliha; Ivan Straškraba. Stabilization of solutions to a differential-delay equation in a Banach space. Annales Polonici Mathematici, Tome 66 (1997) pp. 271-281. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv65z3p271bwm/
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