Monotone methods for solving a boundary value problem of second order discrete system

Monotone methods for solving a boundary value problem of second order discrete system

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 mo...

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Main Authors: Yuan-Ming Wang, Ravi P. Agarwal
Format: Article
Language:English
Published: Hindawi Limited 1999-01-01
Series:Mathematical Problems in Engineering
Subjects:
Boundary value problem of second order discrete system; Monotone iterative method; Upper and lower solutions; Monotone convergence.
Online Access:http://dx.doi.org/10.1155/S1024123X99001106
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spelling doaj-65bcb8569e4b4ce6be418b906ca886f12020-11-24T22:52:42ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51471999-01-015429131510.1155/S1024123X99001106Monotone methods for solving a boundary value problem of second order discrete systemYuan-Ming Wang0Ravi P. Agarwal1Department of Mathematics, East China Normal University, Shanghai 200062, ChinaDepartment of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, SingaporeA 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.http://dx.doi.org/10.1155/S1024123X99001106Boundary value problem of second order discrete system; Monotone iterative method; Upper and lower solutions; Monotone convergence.
collection DOAJ
language English
format Article
sources DOAJ
author Yuan-Ming Wang
Ravi P. Agarwal
spellingShingle Yuan-Ming Wang
Ravi P. Agarwal
Monotone methods for solving a boundary value problem of second order discrete system
Mathematical Problems in Engineering
Boundary value problem of second order discrete system; Monotone iterative method; Upper and lower solutions; Monotone convergence.
author_facet Yuan-Ming Wang
Ravi P. Agarwal
author_sort Yuan-Ming Wang
title Monotone methods for solving a boundary value problem of second order discrete system
title_short Monotone methods for solving a boundary value problem of second order discrete system
title_full Monotone methods for solving a boundary value problem of second order discrete system
title_fullStr Monotone methods for solving a boundary value problem of second order discrete system
title_full_unstemmed Monotone methods for solving a boundary value problem of second order discrete system
title_sort monotone methods for solving a boundary value problem of second order discrete system
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 1999-01-01
description 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.
topic Boundary value problem of second order discrete system; Monotone iterative method; Upper and lower solutions; Monotone convergence.
url http://dx.doi.org/10.1155/S1024123X99001106
work_keys_str_mv AT yuanmingwang monotonemethodsforsolvingaboundaryvalueproblemofsecondorderdiscretesystem
AT ravipagarwal monotonemethodsforsolvingaboundaryvalueproblemofsecondorderdiscretesystem
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