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Optimal Existence Conditions for the Periodic Delay ϕLaplace Equation with upper and lower Solutions in the Reverse order
 Wenjie ZuoAffiliated withDept. of Mathematics, Northeast Normal University
 , Daqing JiangAffiliated withDept. of Mathematics, Northeast Normal University
 , Donal O’ReganAffiliated withDepartment of Mathematics, National University of Ireland
 , R. P. AgarwalAffiliated withDepartment of Mathematical Science, Florida Institute of Technology
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In this paper, we show that the monotone iterative technique produces two monotone sequences that converge uniformly to extremal solutions for the periodic delay ϕLaplace equation. Moreover, we obtain optimal existence conditions with upper and lower solutions in the reverse order.
Key words and phrases
Existence Upper and lower solutions Monotone iterative techniqueMSC 2000
34B15 Title
 Optimal Existence Conditions for the Periodic Delay ϕLaplace Equation with upper and lower Solutions in the Reverse order
 Journal

Results in Mathematics
Volume 44, Issue 34 , pp 375385
 Cover Date
 200311
 DOI
 10.1007/BF03322992
 Print ISSN
 03786218
 Online ISSN
 14209012
 Publisher
 BirkhäuserVerlag
 Additional Links
 Topics
 Keywords

 Existence
 Upper and lower solutions
 Monotone iterative technique
 34B15
 Industry Sectors
 Authors

 Wenjie Zuo ^{(1)}
 Daqing Jiang ^{(1)}
 Donal O’Regan ^{(2)}
 R. P. Agarwal ^{(3)}
 Author Affiliations

 1. Dept. of Mathematics, Northeast Normal University, Changchun, 130024, P. R. China
 2. Department of Mathematics, National University of Ireland, Galway, Ireland
 3. Department of Mathematical Science, Florida Institute of Technology, Melbourne, Florida, 329016975, USA