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

Daqing Jiang; Wenjie Zuo; Donal O'Regan; Ravi P. Agarwal

doi:10.1080/00207160310001597215

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

Daqing Jiang, Wenjie Zuo, Donal O'Regan, Ravi P. Agarwal

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	707-717
Number of pages	11
Journal	International Journal of Computer Mathematics
Volume	81
Issue number	6
DOIs	https://doi.org/10.1080/00207160310001597215
Publication status	Published - 1 Jun 2004

Keywords

Existence
Monotone iterative technique
Periodic solution
Upper and lower solution

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Jiang, DQ;Zuo, WJ;O'Regan, D;Agarwal, RP

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10.1080/00207160310001597215

Cite this

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

abstract = "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.",

keywords = "Existence, Monotone iterative technique, Periodic solution, Upper and lower solution",

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Optimal existence conditions for second order periodic solutions of delay differential equations with upper and lower solutions in the reverse order. / Jiang, Daqing; Zuo, Wenjie; O'Regan, Donal et al.
In: International Journal of Computer Mathematics, Vol. 81, No. 6, 01.06.2004, p. 707-717.

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

TY - JOUR

T1 - Optimal existence conditions for second order periodic solutions of delay differential equations with upper and lower solutions in the reverse order

AU - Jiang, Daqing

AU - Zuo, Wenjie

AU - O'Regan, Donal

AU - Agarwal, Ravi P.

PY - 2004/6/1

Y1 - 2004/6/1

N2 - 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.

AB - 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.

KW - Existence

KW - Monotone iterative technique

KW - Periodic solution

KW - Upper and lower solution

UR - https://www.scopus.com/pages/publications/28244491959

U2 - 10.1080/00207160310001597215

DO - 10.1080/00207160310001597215

M3 - Article

SN - 0020-7160

VL - 81

SP - 707

EP - 717

JO - International Journal of Computer Mathematics

JF - International Journal of Computer Mathematics

IS - 6

ER -

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

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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