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On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations

Authors :
Jiang, Daqing
Nieto, Juan J.
Zuo, Wenjie
Source :
Journal of Mathematical Analysis & Applications. Jan2004, Vol. 289 Issue 2, p691. 9p.
Publication Year :
2004

Abstract

In this paper, we show that the method of monotone iterative technique is valid to obtain two monotone sequences that converge uniformly to extremal solutions of first and second order periodic boundary value problems and periodic solutions of functional differential equations. We obtain some new results relative to the lower solution <f>α</f> and upper solution <f>β</f> with <f>α⩽β</f>. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0022247X
Volume :
289
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
11733882
Full Text :
https://doi.org/10.1016/j.jmaa.2003.09.020