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

• Autorzy: Valentin Keyantuo , Carlos Lizama
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 45N05: Abstract integral equations, integral equations in abstract spaces
• 46N20: Applications to differential and integral equations
• 45K05: Integro-partial differential equations
• 35K90: Abstract parabolic equations
• 45D05: Volterra integral equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 168
• Numer: 1
• Strony: 25-50

Daty

wydano

2005

Twórcy

autor

Valentin Keyantuo

• Department of Mathematics, Faculty of Natural Sciences, University of Puerto Rico, P.O. Box 23355, Puerto Rico 00931, U.S.A.

autor

Carlos Lizama

• Departamento de Matemática, Facultad de Ciencias, Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile

Identyfikatory

DOI

10.4064/sm168-1-3