On the dynamics of linear functional differential equations with asymptotically constant solutions

On the dynamics of linear functional differential equations with asymptotically constant solutions

Title : On the dynamics of linear functional differential equations with asymptotically constant solutions
Authors :
Paraskevas, Evripidis
Somarakis, Christoforos
Baras, John, S.

We discuss the dynamics of general linear functional differential equations with solutions that exhibit asymptotic constancy. We apply fixed point theory methods to study the stability of these solutions and we provide sufficient conditions of asymptotic stability with emphasis on the rate of convergence. Several examples are provided to illustrate the claim that the derived results generalize, unify and in some cases improve the existing ones.

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