MultiPoint BVPs for Second-Order Functional Differential Equations with Impulses
Author(s) -
Xuxin Yang,
Zhimin He,
Jianhua Shen
Publication year - 2009
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2009/258090
Subject(s) - monotone polygon , mathematics , boundary value problem , class (philosophy) , differential equation , order (exchange) , mathematical analysis , computer science , geometry , finance , artificial intelligence , economics
This paper is concerned about the existence of extreme solutions of multipoint boundary value problem for a class of second-order impulsive functional differential equations. We introduce a new concept of lower and upper solutions. Then, by using the method of upper and lower solutions introduced and monotone iterative technique, we obtain the existence results of extreme solutions
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