We consider the linear Volterra equation of the first order in time (equation presented) where A is a positive bounded operator on a Hilbert space H. The exponential decay of the related energy is shown to occur, provided that the kernel g is controlled by a negative exponential.
Exponential decay of a first order linear Volterra equation
Conti, Monica;Dell'Oro, Filippo;Pata, Vittorino
2020-01-01
Abstract
We consider the linear Volterra equation of the first order in time (equation presented) where A is a positive bounded operator on a Hilbert space H. The exponential decay of the related energy is shown to occur, provided that the kernel g is controlled by a negative exponential.File in questo prodotto:
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