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...

Full description

Bibliographic Details
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
Description
Summary:<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>
ISSN:1025-5834
1029-242X