We study the large time behavior of the solution u to an initial andboundary value problem related to an integro-differential equationwith a damping term. We prove that the solution u exponentially decays only if the relaxation kernel does.
Asymptotic decay for some differential system with fading memory / Fabrizio, M.; Polidoro, Sergio. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - STAMPA. - 81:6(2002), pp. 1245-1264. [10.1080/0003681021000035588]
Asymptotic decay for some differential system with fading memory
POLIDORO, Sergio
2002
Abstract
We study the large time behavior of the solution u to an initial andboundary value problem related to an integro-differential equationwith a damping term. We prove that the solution u exponentially decays only if the relaxation kernel does.
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