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^*

^*此作品的通讯作者

数学科学学院

National University of Singapore

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	291-315
页数	25
期刊	Mathematical Problems in Engineering
卷	5
期	4
DOI	https://doi.org/10.1155/S1024123X99001106
出版状态	已出版 - 1999

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10.1155/S1024123X99001106

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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.

PY - 1999

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

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