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A quasilinearization method for second-order four-point boundary value problems

delete2008-08-01
delete10
PRE
AI
M
Minghe Pei
S
Sung Kag Chang *
DOI:10.1016/j.amc.2008.01.026delete
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摘要

摘要

En 中文
In this paper, we obtain the existence and uniqueness results for general second-order four-point boundary value problems by applying the method of upper and lower solutions together with Leray-Schauder degree. Also we obtain monotone iteration schemes which converge quadratically to the unique solution of some specific second-order four-point boundary value problems by using the method of quasilinearization. (c) 2008 Elsevier Inc. All rights reserved.
Keyword:
four-point boundary value problem
upper and lower solutions
Leray-Schauder degree
quasilinearization
quadratic convergence

期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

机构

Y
Yeungnam University
学者数:
1.0W
论文数: 1.3W
被引数: 1.4W
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