Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions

The existence of mild solutions for second-order impulsive semilinear neutral functional differential equations with nonlocal conditions in Banach spaces is investigated. The results are obtained by using fractional power of operators and Sadovskii's fixed point theorem.

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Main Authors: Meili Li, Chunhai Kou
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2009/641368
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author Meili Li
Chunhai Kou
author_facet Meili Li
Chunhai Kou
author_sort Meili Li
collection DOAJ
description The existence of mild solutions for second-order impulsive semilinear neutral functional differential equations with nonlocal conditions in Banach spaces is investigated. The results are obtained by using fractional power of operators and Sadovskii's fixed point theorem.
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institution OA Journals
issn 1026-0226
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language English
publishDate 2009-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-8f05938e095a40d4b5edf3d4529676a82025-08-20T02:09:22ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/641368641368Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal ConditionsMeili Li0Chunhai Kou1Department of Applied Mathematics, Donghua University, Shanghai 201620, ChinaDepartment of Applied Mathematics, Donghua University, Shanghai 201620, ChinaThe existence of mild solutions for second-order impulsive semilinear neutral functional differential equations with nonlocal conditions in Banach spaces is investigated. The results are obtained by using fractional power of operators and Sadovskii's fixed point theorem.http://dx.doi.org/10.1155/2009/641368
spellingShingle Meili Li
Chunhai Kou
Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions
Discrete Dynamics in Nature and Society
title Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions
title_full Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions
title_fullStr Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions
title_full_unstemmed Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions
title_short Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions
title_sort existence results for second order impulsive neutral functional differential equations with nonlocal conditions
url http://dx.doi.org/10.1155/2009/641368
work_keys_str_mv AT meilili existenceresultsforsecondorderimpulsiveneutralfunctionaldifferentialequationswithnonlocalconditions
AT chunhaikou existenceresultsforsecondorderimpulsiveneutralfunctionaldifferentialequationswithnonlocalconditions