Existence for neutral impulsive functional differential equations with nonlocal conditions

被引：19

作者：

Li, M. ^{[1
]}

Han, M. ^{[2
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2009年 / 20卷 / 03期

关键词：

Integrated semigroup; Hille-Yosida condition; Integral solution; Strict solution; Nonlocal conditions; CAUCHY-PROBLEMS;

D O I：

10.1016/S0019-3577(09)80017-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a class of neutral impulsive functional differential equations with nonlocal conditions. We suppose that the linear part satisfies the Hille-Yosida condition on a Banach space and it is not necessarily densely defined. We give some sufficient conditions ensuring the existence of integral solutions and strict solutions. To illustrate our abstract results, we conclude this work by an example.

引用

页码：435 / 451

页数：17

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