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

Piermarco Cannarsa, and Daniela Sforza. "A stability result for a class of nonlinear integrodifferential equations with L¹ kernels." Applicationes Mathematicae 35.4 (2008): 395-430. <http://eudml.org/doc/279943>.

@article{PiermarcoCannarsa2008,
abstract = {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.},
author = {Piermarco Cannarsa, Daniela Sforza},
journal = {Applicationes Mathematicae},
keywords = {weakly singular kernels; stability; global existence; exponential decay; second order nonlinear integro-differential equations; Hilbert spaces; weakly singular convolution kernels},
language = {eng},
number = {4},
pages = {395-430},
title = {A stability result for a class of nonlinear integrodifferential equations with L¹ kernels},
url = {http://eudml.org/doc/279943},
volume = {35},
year = {2008},
}

TY - JOUR
AU - Piermarco Cannarsa
AU - Daniela Sforza
TI - A stability result for a class of nonlinear integrodifferential equations with L¹ kernels
JO - Applicationes Mathematicae
PY - 2008
VL - 35
IS - 4
SP - 395
EP - 430
AB - 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.
LA - eng
KW - weakly singular kernels; stability; global existence; exponential decay; second order nonlinear integro-differential equations; Hilbert spaces; weakly singular convolution kernels
UR - http://eudml.org/doc/279943
ER -