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On a class of second order integrodifferential equations

Daniela Sforza — 1991

Rendiconti del Seminario Matematico della Università di Padova

A stability result for a class of nonlinear integrodifferential equations with L¹ kernels

Piermarco Cannarsa; Daniela Sforza — 2008

Applicationes Mathematicae

We study second order nonlinear integro-differential equations in Hilbert spaces with weakly singular convolution kernels obtaining energy estimates for the solutions, uniform in t. Then we show that the solutions decay exponentially at ∞ in the energy norm. Finally, we apply these results to a problem in viscoelasticity.

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