Existence for neutral impulsive differential inclusions with nonlocal conditions

Xianlong Fu; Yueju Cao

doi:10.1016/j.na.2007.04.013

Existence for neutral impulsive differential inclusions with nonlocal conditions

Xianlong Fu, Yueju Cao

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

In this paper, by using a fixed point theorem for condensing multi-valued maps, we have investigated the existence of mild solutions for a class of semilinear impulsive neutral functional differential inclusions with nonlocal conditions. As an application, an example has been presented to illustrate the results obtained.

Original language	English
Pages (from-to)	3707-3718
Number of pages	12
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	68
Issue number	12
DOIs	https://doi.org/10.1016/j.na.2007.04.013
State	Published - 15 Jun 2008

Keywords

Analytic semigroup
Functional differential inclusions
Impulsive
Nonlocal conditions

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10.1016/j.na.2007.04.013

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title = "Existence for neutral impulsive differential inclusions with nonlocal conditions",

abstract = "In this paper, by using a fixed point theorem for condensing multi-valued maps, we have investigated the existence of mild solutions for a class of semilinear impulsive neutral functional differential inclusions with nonlocal conditions. As an application, an example has been presented to illustrate the results obtained.",

keywords = "Analytic semigroup, Functional differential inclusions, Impulsive, Nonlocal conditions",

author = "Xianlong Fu and Yueju Cao",

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AU - Cao, Yueju

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N2 - In this paper, by using a fixed point theorem for condensing multi-valued maps, we have investigated the existence of mild solutions for a class of semilinear impulsive neutral functional differential inclusions with nonlocal conditions. As an application, an example has been presented to illustrate the results obtained.

AB - In this paper, by using a fixed point theorem for condensing multi-valued maps, we have investigated the existence of mild solutions for a class of semilinear impulsive neutral functional differential inclusions with nonlocal conditions. As an application, an example has been presented to illustrate the results obtained.

KW - Analytic semigroup

KW - Functional differential inclusions

KW - Impulsive

KW - Nonlocal conditions

UR - https://www.scopus.com/pages/publications/42949148048

U2 - 10.1016/j.na.2007.04.013

DO - 10.1016/j.na.2007.04.013

M3 - 文章

AN - SCOPUS:42949148048

SN - 0362-546X

VL - 68

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 12

ER -

Existence for neutral impulsive differential inclusions with nonlocal conditions

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Keywords

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