The Lack of Polynomial Stability to Mixtures with Memory

Aguilar L.H.A.; Rivera J.E.M.; Romero P.G. · Boletim da Sociedade Paranaense de Matematica (2022) · DOI: 10.5269/bspm.47878

Resumen

We consider the system modeling a mixture of n materials with memory. We show that the corresponding semigroup is exponentially stable if and only if the imaginary axis is contained in the resolvent set of the infinitesimal generator. In particular this implies the lack of polynomial stability to the corresponding semigroup.

Instituciones: Universidad Nacional Agraria La Molina