Unbounded Perturbations of C0-Semigroups on Banach Spaces and Applications

被引：0
|
作者：
Said Hadd
机构：
[1] Department of Mathematics,
[2] Faculty of Sciences Semlalia,undefined
[3] Cadi Ayyad University,undefined
[4] B.P.: 2390,undefined
[5] 40000 Marrakesh,undefined
来源：
Semigroup Forum | 2005年 / 70卷
关键词：
Differential Equation; Banach Space; Cauchy Problem; Functional Differential Equation; Continuous Semigroup;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we prove a perturbation result for strongly continuous semigroups extending one of G. Weiss from Hilbert to Banach spaces. This allows us to establish a new variation of constants formula for non-homogeneous perturbed Cauchy problems. From this formula we deduce another new one for non-homogeneous functional differential equations with Lp-phase spaces in terms of Yosida extensions of delay operators.
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页码：451 / 465
页数：14
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