Maximal regularity for perturbed integral equations on periodic Lebesgue spaces

[摘要] We characterize the maximal regularity of periodic solutions for an additive perturbed integral equation with infinite delay in the vector-valued Lebesgue spaces. Our method is based on operator-valued Fourier multipliers. We also study resonances, characterizing the existence of solutions in terms of a compatibility condition on the forcing term. (C) 2008 Elsevier Inc. All rights reserved.

[发布日期] 2008-12-15

[关键词] additive perturbation;maximal regularity;R-boundedness;Fourier multipliers;integral equations;periodic solutions