Optimal Existence Conditions for the Periodic Delay ϕ-Laplace Equation with upper and lower Solutions in the Reverse order

Wenjie Zuo; Daqing Jiang; Donal O’Regan; R. P. Agarwal

doi:10.1007/BF03322992

Optimal Existence Conditions for the Periodic Delay ϕ-Laplace Equation with upper and lower Solutions in the Reverse order

Wenjie Zuo
, Daqing Jiang
, Donal O’Regan
, R. P. Agarwal

Mathematics

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

8 Citations (Scopus)

Abstract

In this paper, we show that the monotone iterative technique produces two monotone sequences that converge uniformly to extremal solutions for the periodic delay ϕ-Laplace equation. Moreover, we obtain optimal existence conditions with upper and lower solutions in the reverse order.

Original language	English
Pages (from-to)	375-385
Number of pages	11
Journal	Results in Mathematics
Volume	44
Issue number	3-4
DOIs	https://doi.org/10.1007/BF03322992
Publication status	Published - 1 Nov 2003

Keywords

34B15
Existence
Monotone iterative technique
Upper and lower solutions

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10.1007/BF03322992

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title = "Optimal Existence Conditions for the Periodic Delay ϕ-Laplace Equation with upper and lower Solutions in the Reverse order",

abstract = "In this paper, we show that the monotone iterative technique produces two monotone sequences that converge uniformly to extremal solutions for the periodic delay ϕ-Laplace equation. Moreover, we obtain optimal existence conditions with upper and lower solutions in the reverse order.",

keywords = "34B15, Existence, Monotone iterative technique, Upper and lower solutions",

author = "Wenjie Zuo and Daqing Jiang and Donal O{\textquoteright}Regan and Agarwal, \{R. P.\}",

note = "Publisher Copyright: {\textcopyright} 2003, Birkh{\"a}user Verlag, Basel.",

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T1 - Optimal Existence Conditions for the Periodic Delay ϕ-Laplace Equation with upper and lower Solutions in the Reverse order

AU - Zuo, Wenjie

AU - Jiang, Daqing

AU - O’Regan, Donal

AU - Agarwal, R. P.

PY - 2003/11/1

Y1 - 2003/11/1

N2 - In this paper, we show that the monotone iterative technique produces two monotone sequences that converge uniformly to extremal solutions for the periodic delay ϕ-Laplace equation. Moreover, we obtain optimal existence conditions with upper and lower solutions in the reverse order.

AB - In this paper, we show that the monotone iterative technique produces two monotone sequences that converge uniformly to extremal solutions for the periodic delay ϕ-Laplace equation. Moreover, we obtain optimal existence conditions with upper and lower solutions in the reverse order.

KW - 34B15

KW - Existence

KW - Monotone iterative technique

KW - Upper and lower solutions

UR - https://www.scopus.com/pages/publications/24344492624

U2 - 10.1007/BF03322992

DO - 10.1007/BF03322992

M3 - Article

AN - SCOPUS:24344492624

SN - 1422-6383

VL - 44

SP - 375

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JO - Results in Mathematics

JF - Results in Mathematics

IS - 3-4

ER -

Optimal Existence Conditions for the Periodic Delay ϕ-Laplace Equation with upper and lower Solutions in the Reverse order

Abstract

Keywords

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