Geodesic
Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces
Valentin Keyantuo1 ; Carlos Lizama2
1Department of Mathematics Faculty of Natural Sciences University of Puerto Rico P.O. Box 23355 Puerto Rico 00931, U.S.A.
2Departamento de Matemática Facultad de Ciencias Universidad de Santiago de Chile Casilla 307, Correo 2 Santiago, Chile
Studia Mathematica, Tome 168 (2005) no. 1, pp. 25-50
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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.
DOI : 10.4064/sm168-1-3
Keywords: fourier multiplier theorems establish maximal regularity results class integro differential equations infinite delay banach spaces concrete equations type arise viscoelasticity theory results obtained periodic solutions vector valued lebesgue besov spaces application semilinear equations considered

Valentin Keyantuo  1   ; Carlos Lizama  2

1 Department of Mathematics Faculty of Natural Sciences University of Puerto Rico P.O. Box 23355 Puerto Rico 00931, U.S.A.
2 Departamento de Matemática Facultad de Ciencias Universidad de Santiago de Chile Casilla 307, Correo 2 Santiago, Chile 
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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 168 (2005) no. 1, pp. 25-50. doi: 10.4064/sm168-1-3

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