Stabilization of solutions to a differential-delay equation in a Banach space
Volume 65 / 1997
Annales Polonici Mathematici 65 (1997), 271-281
DOI: 10.4064/ap-65-3-271-281
Abstract
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.
