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
收藏
页码：477 / 492
页数：16
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