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

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

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 s...

Full description

Bibliographic Details
Main Authors: Kexue Zhang, Xinzhi Liu
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/490741
id doaj-64dcfe31de2e4deab3a6a122ebcde77d
record_format Article
spelling doaj-64dcfe31de2e4deab3a6a122ebcde77d2020-11-25T00:31:10ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/490741Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential EquationsKexue ZhangXinzhi LiuThis 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. http://dx.doi.org/10.1155/2010/490741
collection DOAJ
language English
format Article
sources DOAJ
author Kexue Zhang
Xinzhi Liu
spellingShingle Kexue Zhang
Xinzhi Liu
Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations
Journal of Inequalities and Applications
author_facet Kexue Zhang
Xinzhi Liu
author_sort Kexue Zhang
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 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.
url http://dx.doi.org/10.1155/2010/490741
work_keys_str_mv AT kexuezhang nonlinearboundaryvalueproblemoffirstorderimpulsivefunctionaldifferentialequations
AT xinzhiliu nonlinearboundaryvalueproblemoffirstorderimpulsivefunctionaldifferentialequations
_version_ 1725323297263976448

Similar Items