Fourier multipliers and periodic solutions of delay equations in Banach spaces

[摘要] In this paper we characterize the existence and uniqueness of periodic solutions of inhomogeneous abstract delay equations and establish maximal regularity results for strong solutions. The conditions are obtained in terms of R-boundedness of linear operators determined by the equations and L-p-Fourier multipliers. Periodic mild solutions are also studied and characterized. (c) 2005 Elsevier Inc. All fights reserved.

[发布日期] 2006-12-15

[关键词] Fourier multipliers;R-boundedness;UMD-spaces;delay equations;C-0-semigroups