Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces
Valentin Keyantuo ; Carlos Lizama
Studia Mathematica, Tome 166 (2005), p. 25-50 / Harvested from The Polish Digital Mathematics Library
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We use Fourier multiplier theorems to establish maximal regularity results for a class of integro-differential equations with infinite delay in Banach spaces. Concrete equations of this type arise in viscoelasticity theory. Results are obtained for periodic solutions in the vector-valued Lebesgue and Besov spaces. An application to semilinear equations is considered.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:285068 
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     year = {2005},
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Valentin Keyantuo; Carlos Lizama. Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces. Studia Mathematica, Tome 166 (2005) pp. 25-50. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-1-3/