Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations

Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations

<p/> <p>This paper investigates the nonlinear boundary value problem for a class of first-order impulsive functional differential equations. By establishing a comparison result and utilizing the method of upper and lower solutions, some criteria on the existence of extremal solutions as...

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Main Authors: Liu Xinzhi, Zhang Kexue
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/490741
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spelling doaj-97a82d64cc904a8c96ebf3e0384e809f2020-11-25T02:51:56ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101490741Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential EquationsLiu XinzhiZhang Kexue<p/> <p>This paper investigates the nonlinear boundary value problem for a class of first-order impulsive functional differential equations. By establishing a comparison result and utilizing the method of upper and lower solutions, some criteria on the existence of extremal solutions as well as the unique solution are obtained. Examples are discussed to illustrate the validity of the obtained results.</p>http://www.journalofinequalitiesandapplications.com/content/2010/490741
collection DOAJ
language English
format Article
sources DOAJ
author Liu Xinzhi
Zhang Kexue
spellingShingle Liu Xinzhi
Zhang Kexue
Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations
Journal of Inequalities and Applications
author_facet Liu Xinzhi
Zhang Kexue
author_sort Liu Xinzhi
title Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations
title_short Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations
title_full Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations
title_fullStr Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations
title_full_unstemmed Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations
title_sort nonlinear boundary value problem of first-order impulsive functional differential equations
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description <p/> <p>This paper investigates the nonlinear boundary value problem for a class of first-order impulsive functional differential equations. By establishing a comparison result and utilizing the method of upper and lower solutions, some criteria on the existence of extremal solutions as well as the unique solution are obtained. Examples are discussed to illustrate the validity of the obtained results.</p>
url http://www.journalofinequalitiesandapplications.com/content/2010/490741
work_keys_str_mv AT liuxinzhi nonlinearboundaryvalueproblemoffirstorderimpulsivefunctionaldifferentialequations
AT zhangkexue nonlinearboundaryvalueproblemoffirstorderimpulsivefunctionaldifferentialequations
_version_ 1724732448051298304

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