Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces

Valentin Keyantuo, and Carlos Lizama. "Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces." Studia Mathematica 168.1 (2005): 25-50. <http://eudml.org/doc/285068>.

@article{ValentinKeyantuo2005,
abstract = {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.},
author = {Valentin Keyantuo, Carlos Lizama},
journal = {Studia Mathematica},
keywords = {integrodifferential equation; maximal regularity; infinite delay; Banach space; Hölder spaces; Besov spaces},
language = {eng},
number = {1},
pages = {25-50},
title = {Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces},
url = {http://eudml.org/doc/285068},
volume = {168},
year = {2005},
}

TY - JOUR
AU - Valentin Keyantuo
AU - Carlos Lizama
TI - Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces
JO - Studia Mathematica
PY - 2005
VL - 168
IS - 1
SP - 25
EP - 50
AB - 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.
LA - eng
KW - integrodifferential equation; maximal regularity; infinite delay; Banach space; Hölder spaces; Besov spaces
UR - http://eudml.org/doc/285068
ER -