Optimal existence conditions for second order periodic solutions of delay differential equations with upper and lower solutions in the reverse order

被引：0
|
作者：
Jiang, DQ
Zuo, WJ
O'Regan, D
Agarwal, RP [1 ]
机构：
[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
[2] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China
[3] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2004年 / 81卷 / 06期
基金：
中国国家自然科学基金;
关键词：
periodic solution; existence; upper and lower solution; monotone iterative technique;
D O I：
10.1080/00207160310001597215
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we show that the monotone iterative technique provides two monotone sequences that converge uniformly to extremal (periodic) solutions of second order delay differential equations without assuming properties of monotonicity in the nonlinear part. Moreover, we obtain optimal existence conditions with upper and lower solutions in the reverse order. Our results are new even for ordinary differential equations.
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页码：707 / 717
页数：11
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