Integral BVPs for a Class of First-Order Impulsive Functional Differential Equations

The methods of lower and upper solutions and monotone iterative technique are employed to the study of integral boundary value problems for a class of first-order impulsive functional differential equations. Sufficient conditions are obtained for the existence of extreme solutions.

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Bibliographic Details
Main Authors: Xiaofei He, Jingli Xie, Guoping Chen, Jianhua Shen
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2010/908960
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author Xiaofei He
Jingli Xie
Guoping Chen
Jianhua Shen
author_facet Xiaofei He
Jingli Xie
Guoping Chen
Jianhua Shen
author_sort Xiaofei He
collection DOAJ
description The methods of lower and upper solutions and monotone iterative technique are employed to the study of integral boundary value problems for a class of first-order impulsive functional differential equations. Sufficient conditions are obtained for the existence of extreme solutions.
format Article
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institution Kabale University
issn 1687-9643
1687-9651
language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series International Journal of Differential Equations
spelling doaj-art-1f2e99e977a542b29596a936ec8c3bbc2025-02-03T06:12:19ZengWileyInternational Journal of Differential Equations1687-96431687-96512010-01-01201010.1155/2010/908960908960Integral BVPs for a Class of First-Order Impulsive Functional Differential EquationsXiaofei He0Jingli Xie1Guoping Chen2Jianhua Shen3Department of Mathematics, College of Zhangjiajie, Jishou University, Jishou, Hunan 416000, ChinaDepartment of Mathematics, College of Zhangjiajie, Jishou University, Jishou, Hunan 416000, ChinaDepartment of Mathematics, College of Zhangjiajie, Jishou University, Jishou, Hunan 416000, ChinaDepartment of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, ChinaThe methods of lower and upper solutions and monotone iterative technique are employed to the study of integral boundary value problems for a class of first-order impulsive functional differential equations. Sufficient conditions are obtained for the existence of extreme solutions.http://dx.doi.org/10.1155/2010/908960
spellingShingle Xiaofei He
Jingli Xie
Guoping Chen
Jianhua Shen
Integral BVPs for a Class of First-Order Impulsive Functional Differential Equations
International Journal of Differential Equations
title Integral BVPs for a Class of First-Order Impulsive Functional Differential Equations
title_full Integral BVPs for a Class of First-Order Impulsive Functional Differential Equations
title_fullStr Integral BVPs for a Class of First-Order Impulsive Functional Differential Equations
title_full_unstemmed Integral BVPs for a Class of First-Order Impulsive Functional Differential Equations
title_short Integral BVPs for a Class of First-Order Impulsive Functional Differential Equations
title_sort integral bvps for a class of first order impulsive functional differential equations
url http://dx.doi.org/10.1155/2010/908960
work_keys_str_mv AT xiaofeihe integralbvpsforaclassoffirstorderimpulsivefunctionaldifferentialequations
AT jinglixie integralbvpsforaclassoffirstorderimpulsivefunctionaldifferentialequations
AT guopingchen integralbvpsforaclassoffirstorderimpulsivefunctionaldifferentialequations
AT jianhuashen integralbvpsforaclassoffirstorderimpulsivefunctionaldifferentialequations