Existence results for semilinear neutral functional differential inclusions via analytic semigroups

被引：8

作者：

Ntouyas, S. K.

O'Regan, D.

机构：

[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

来源：

ACTA APPLICANDAE MATHEMATICAE | 2007年 / 98卷 / 03期

关键词：

semilinear neutral functional differential inclusions; analytic semigroups; integrated semigroups; cosine families; fixed point;

D O I：

10.1007/s10440-007-9157-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove existence results for semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.

引用

页码：223 / 253

页数：31

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