Second Order Impulsive Retarded Differential Inclusions with Nonlocal Conditions

In this work we establish some existence results for abstract second order Cauchy problems modeled by a retarded differential inclusion involving nonlocal and impulsive conditions. Our results are obtained by using fixed point theory for the measure of noncompactness.

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Main Authors: Hernán R. Henríquez, Marcos Rabelo, Luciana Vale
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/131379
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author Hernán R. Henríquez
Marcos Rabelo
Luciana Vale
author_facet Hernán R. Henríquez
Marcos Rabelo
Luciana Vale
author_sort Hernán R. Henríquez
collection DOAJ
description In this work we establish some existence results for abstract second order Cauchy problems modeled by a retarded differential inclusion involving nonlocal and impulsive conditions. Our results are obtained by using fixed point theory for the measure of noncompactness.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-7b1d4bceaa7543ebba302d9a3fc032392025-02-03T05:52:17ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/131379131379Second Order Impulsive Retarded Differential Inclusions with Nonlocal ConditionsHernán R. Henríquez0Marcos Rabelo1Luciana Vale2Departamento de Matemática, Universidad de Santiago (USACH), Casilla 307, Correo 2, Santiago, ChileDepartamento de Matemática, Universidade Federal de Goiás, Campus Catalão, 75704-020 Catalão, GO, BrazilDepartamento de Matemática, Universidade Federal de Goiás, Campus Catalão, 75704-020 Catalão, GO, BrazilIn this work we establish some existence results for abstract second order Cauchy problems modeled by a retarded differential inclusion involving nonlocal and impulsive conditions. Our results are obtained by using fixed point theory for the measure of noncompactness.http://dx.doi.org/10.1155/2014/131379
spellingShingle Hernán R. Henríquez
Marcos Rabelo
Luciana Vale
Second Order Impulsive Retarded Differential Inclusions with Nonlocal Conditions
Abstract and Applied Analysis
title Second Order Impulsive Retarded Differential Inclusions with Nonlocal Conditions
title_full Second Order Impulsive Retarded Differential Inclusions with Nonlocal Conditions
title_fullStr Second Order Impulsive Retarded Differential Inclusions with Nonlocal Conditions
title_full_unstemmed Second Order Impulsive Retarded Differential Inclusions with Nonlocal Conditions
title_short Second Order Impulsive Retarded Differential Inclusions with Nonlocal Conditions
title_sort second order impulsive retarded differential inclusions with nonlocal conditions
url http://dx.doi.org/10.1155/2014/131379
work_keys_str_mv AT hernanrhenriquez secondorderimpulsiveretardeddifferentialinclusionswithnonlocalconditions
AT marcosrabelo secondorderimpulsiveretardeddifferentialinclusionswithnonlocalconditions
AT lucianavale secondorderimpulsiveretardeddifferentialinclusionswithnonlocalconditions