Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces

被引：44

作者：

Keyantuo, V

Lizama, C

机构：

[1] Univ Puerto Rico, Fac Nat Sci, Dept Math, Rio Piedras, PR 00931 USA

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

来源：

STUDIA MATHEMATICA | 2005年 / 168卷 / 01期

关键词：

D O I：

10.4064/sm168-1-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use Fourier multiplier theorems to establish maximal regularity results for a class of integro-differential equations with infinite delay in Banach spaces. Concrete equations of this type arise in viscoelasticity theory. Results are obtained for periodic solutions in the vector-valued Lebesgue and Besov spaces. An application to semilinear equations is considered.

引用

页码：25 / 50

页数：26

共 50 条

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