Monotone Methods for Solving a Boundary Value Problem of Second Order Discrete System

Yuan Ming Wang; Ravi P. Agarwal

doi:10.1155/S1024123X99001106

Monotone Methods for Solving a Boundary Value Problem of Second Order Discrete System

Yuan Ming Wang
, Ravi P. Agarwal^*

^*Corresponding author for this work

School of Mathematical Sciences

National University of Singapore

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

A new concept of a pair of upper and lower solutions is introduced for a boundary value problem of second order discrete system. A comparison result is given. An existence theorem for a solution is established in terms of upper and lower solutions. A monotone iterative scheme is proposed, and the monotone convergence rate of the iteration is compared and analyzed. The numerical results are given.

Original language	English
Pages (from-to)	291-315
Number of pages	25
Journal	Mathematical Problems in Engineering
Volume	5
Issue number	4
DOIs	https://doi.org/10.1155/S1024123X99001106
State	Published - 1999

Keywords

Boundary value problem of second order discrete system
Monotone convergence
Monotone iterative method
Upper and lower solutions

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10.1155/S1024123X99001106

Cite this

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title = "Monotone Methods for Solving a Boundary Value Problem of Second Order Discrete System",

abstract = "A new concept of a pair of upper and lower solutions is introduced for a boundary value problem of second order discrete system. A comparison result is given. An existence theorem for a solution is established in terms of upper and lower solutions. A monotone iterative scheme is proposed, and the monotone convergence rate of the iteration is compared and analyzed. The numerical results are given.",

keywords = "Boundary value problem of second order discrete system, Monotone convergence, Monotone iterative method, Upper and lower solutions",

author = "Wang, \{Yuan Ming\} and Agarwal, \{Ravi P.\}",

year = "1999",

doi = "10.1155/S1024123X99001106",

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T1 - Monotone Methods for Solving a Boundary Value Problem of Second Order Discrete System

AU - Wang, Yuan Ming

AU - Agarwal, Ravi P.

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Y1 - 1999

N2 - A new concept of a pair of upper and lower solutions is introduced for a boundary value problem of second order discrete system. A comparison result is given. An existence theorem for a solution is established in terms of upper and lower solutions. A monotone iterative scheme is proposed, and the monotone convergence rate of the iteration is compared and analyzed. The numerical results are given.

AB - A new concept of a pair of upper and lower solutions is introduced for a boundary value problem of second order discrete system. A comparison result is given. An existence theorem for a solution is established in terms of upper and lower solutions. A monotone iterative scheme is proposed, and the monotone convergence rate of the iteration is compared and analyzed. The numerical results are given.

KW - Boundary value problem of second order discrete system

KW - Monotone convergence

KW - Monotone iterative method

KW - Upper and lower solutions

UR - https://www.scopus.com/pages/publications/0347138390

U2 - 10.1155/S1024123X99001106

DO - 10.1155/S1024123X99001106

M3 - 文章

AN - SCOPUS:0347138390

SN - 1024-123X

VL - 5

SP - 291

EP - 315

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

IS - 4

ER -

Monotone Methods for Solving a Boundary Value Problem of Second Order Discrete System

Abstract

Keywords

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