Solutions of second-order integro-differential equations on periodic Besov spaces

被引：30

作者：

Poblete, Veronica ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2007年 / 50卷

关键词：

integro-differential equation; maximal regularity; Fourier multiplier; vector-valued periodic Besov space;

D O I：

10.1017/S0013091505001057

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Maximal regularity for an integro-differential equation with infinite delay on periodic vector-valued Besov spaces is studied. We use Fourier multipliers techniques to characterize periodic solutions solely in terms of spectral properties on the data. We study a resonance case obtaining a compatibility condition which is necessary and sufficient for the existence of periodic solutions.

引用

页码：477 / 492

页数：16

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