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Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order

✍ Scribed by Fangfei Li; Mei Jia; Xiping Liu; Chunling Li; Gaoshang Li

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 185 KB
Volume: 68
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2007.01.065

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✦ Synopsis

This paper studies the existence and uniqueness of solutions of second-order three-point boundary value problems with lower and upper solutions in the reversed order, obtains the sufficient conditions for the existence and uniqueness of solutions by use of the monotone iterative method, and gives the iterative sequence for solving a solution and its error estimate formula under the condition of unique solution.

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