We study the asymptotic behavior of the solutions of a class of linear dissipative integral differential equations. We show in the abstract setting a necessary and sufficient condition to get an exponential decay of the solution. In the case of the lack of exponential decay, we find the polynomial rate of decay of the solution. Some examples are given.

Asymptotic stability of semigroups associated to linear weak dissipative systems with memory

NASO, MARIA GRAZIA
2007-01-01

Abstract

We study the asymptotic behavior of the solutions of a class of linear dissipative integral differential equations. We show in the abstract setting a necessary and sufficient condition to get an exponential decay of the solution. In the case of the lack of exponential decay, we find the polynomial rate of decay of the solution. Some examples are given.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/672
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