Fourier multipliers and periodic solutions of delay equations in Banach spaces

被引：35

作者：

Lizama, Carlos ^{[1
]}

机构：

[1] Univ Santiago Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 324卷 / 02期

关键词：

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

D O I：

10.1016/j.jmaa.2005.12.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：921 / 933

页数：13

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[2]

[Anonymous], 1971, APPL MATH SCI

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