Semigroup approach to semilinear partial functional differential equations with infinite delay

被引：0

作者：

Bouzahir H. ^{[1
]}

机构：

[1] National Engineering School of Applied Sciences (ENSA), University Ibn Zohr, Agadir 80000

来源：

Journal of Inequalities and Applications | / 2007卷 / 1期

关键词：

Differential Equation; Phase Space; Linear Part; Functional Differential Equation; Resolvent Estimate;

D O I：

10.1155/2007/49125

中图分类号：

学科分类号：

摘要：

We describe a semigroup of abstract semilinear functional differential equations with infinite delay by the use of the Crandall Liggett theorem. We suppose that the linear part is not necessarily densely defined but satisfies the resolvent estimates of the Hille-Yosida theorem.We clarify the properties of the phase space ensuring equivalence between the equation under investigation and the nonlinear semigroup.

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