Fourier multipliers and periodic solutions of delay equations in Banach spaces

作者：Lizama Carlos^*

来源：Journal of Mathematical Analysis and Applications, 2006, 324(2): 921-933.

DOI：10.1016/j.jmaa.2005.12.043

• Fourier multipliers
• R-boundedness
• UMD-spaces
• delay equations
• C-0-semigroups

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.

• 出版日期2006-12-15