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Monotone iterative method for the second-order three-point boundary value problem with upper and lower solutions in the reversed order
被引:17
|作者:
Li, Fangfei
[1
]
Sun, Jitao
[1
]
Jia, Mei
[2
]
机构:
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
[2] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
关键词:
Upper and lower solutions;
Reversed order;
Monotone and iterative method;
Second-order three point boundary value problem;
EXISTENCE;
EQUATIONS;
UNIQUENESS;
D O I:
10.1016/j.amc.2010.11.003
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
This article introduces a new concept of upper and lower solutions and studies the existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order. The sufficient conditions for the existence and uniqueness of solutions are obtained by using the monotone iterative method, meantime, the iterative sequence for solving a solution and its error estimate formula under the condition of unique solution are given. Some results of previous literature are extended and improved. A numerical example is also included to illustrate the effectiveness of the proposed results. (C) 2010 Elsevier Inc. All rights reserved.
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页码:4840 / 4847
页数:8
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