We study second order nonlinear integro-differential equations in Hilbert spaces with weakly singular convolution kernels obtaining energy estimates for the solutions. Then, we show that solutions decay exponentially in the energy norm. Finally, we apply these results to a problem in viscoelasticity.
A stability result for a class of nonlinear integrodifferential equations with $L^1$ kernels / Cannarsa, P; Sforza, Daniela. - In: APPLICATIONES MATHEMATICAE. - ISSN 1233-7234. - STAMPA. - 35:(2008), pp. 395-430.
A stability result for a class of nonlinear integrodifferential equations with $L^1$ kernels
SFORZA, Daniela
2008
Abstract
We study second order nonlinear integro-differential equations in Hilbert spaces with weakly singular convolution kernels obtaining energy estimates for the solutions. Then, we show that solutions decay exponentially in the energy norm. Finally, we apply these results to a problem in viscoelasticity.File allegati a questo prodotto
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