The monotone method for Neumann functional differential equations with upper and lower solutions in the reverse order

Daqing Jiang; Ying Yang; Jifeng Chu; Donal O'Regan

doi:10.1016/j.na.2006.09.042

The monotone method for Neumann functional differential equations with upper and lower solutions in the reverse order

Daqing Jiang, Ying Yang, Jifeng Chu, Donal O'Regan

Mathematics

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20 Citations (Scopus)

Abstract

In this paper, we show that the monotone technique produces two monotone sequences that converge uniformly to extremal solutions of second order functional differential equations and φ{symbol}-Laplacian equations with Neumann boundary value conditions. Moreover, we obtain existence results assuming upper and lower solutions in the reverse order.

Original language	English
Pages (from-to)	2815-2828
Number of pages	14
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	67
Issue number	10
DOIs	https://doi.org/10.1016/j.na.2006.09.042
Publication status	Published - 15 Nov 2007

Keywords

Anti-maximum comparison principle
Monotone iterative technique
Neumann boundary value problem
Upper and lower solutions

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

Authors
Jiang, DQ;Yang, Y;Chu, JF;O'Regan, D

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10.1016/j.na.2006.09.042

Cite this

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abstract = "In this paper, we show that the monotone technique produces two monotone sequences that converge uniformly to extremal solutions of second order functional differential equations and φ\{symbol\}-Laplacian equations with Neumann boundary value conditions. Moreover, we obtain existence results assuming upper and lower solutions in the reverse order.",

keywords = "Anti-maximum comparison principle, Monotone iterative technique, Neumann boundary value problem, Upper and lower solutions",

author = "Daqing Jiang and Ying Yang and Jifeng Chu and Donal O'Regan",

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T1 - The monotone method for Neumann functional differential equations with upper and lower solutions in the reverse order

AU - Jiang, Daqing

AU - Yang, Ying

AU - Chu, Jifeng

AU - O'Regan, Donal

PY - 2007/11/15

Y1 - 2007/11/15

N2 - In this paper, we show that the monotone technique produces two monotone sequences that converge uniformly to extremal solutions of second order functional differential equations and φ{symbol}-Laplacian equations with Neumann boundary value conditions. Moreover, we obtain existence results assuming upper and lower solutions in the reverse order.

AB - In this paper, we show that the monotone technique produces two monotone sequences that converge uniformly to extremal solutions of second order functional differential equations and φ{symbol}-Laplacian equations with Neumann boundary value conditions. Moreover, we obtain existence results assuming upper and lower solutions in the reverse order.

KW - Anti-maximum comparison principle

KW - Monotone iterative technique

KW - Neumann boundary value problem

KW - Upper and lower solutions

UR - https://www.scopus.com/pages/publications/34547122764

U2 - 10.1016/j.na.2006.09.042

DO - 10.1016/j.na.2006.09.042

M3 - Article

SN - 0362-546X

VL - 67

SP - 2815

EP - 2828

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 10

ER -

The monotone method for Neumann functional 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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