Total stability in abstract functional differential equations with infinite delay.
Almost-periodic processes and the existence of almost-periodic solutions.
Uniform asymptotic stability and robust stability for positive linear Volterra difference equations in Banach lattices.
Spectral analysis of an operator associated with linear functional differential equations and its applications.
On stability and robust stability of positive linear Volterra equations in Banach lattices
We study positive linear Volterra integro-differential equations in Banach lattices. A characterization of positive equations is given. Furthermore, an explicit spectral criterion for uniformly asymptotic stability of positive equations is presented. Finally, we deal with problems of robust stability of positive systems under structured perturbations. Some explicit stability bounds with respect to these perturbations are given.
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