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Banach空间中含间断项Sturm-Liouville问题的解

Solutions of Sturm-Liouville problems with discontinuous terms in Banach spaces
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摘要 利用拟上下解方法和混合单调迭代法,研究了Banach空间中含间断项的非线性Sturm-liouville问题解的存在唯一性,并给出逼近解迭代序列的误差估计. By using the method of quasi-upper and lower solutions and the mixed monotone iterative technique the existence and unique solution of nonlinear Sturm-Liouville problems with discontinuous terms in Banach spaces are obtained. The error estimate of the iterative sequences of approximation solutions is given
作者 陆海霞
出处 《纯粹数学与应用数学》 CSCD 2013年第2期125-131,共7页 Pure and Applied Mathematics
基金 国家自然科学基金(10971179) 宿迁学院科研基金(2011KY10)
关键词 拟上下解 混合单调迭代方法 Sturm—Liouville问题 quasi-upper and lower solutions, mixed monotone iterative technique, Sturm-LiouviUe problems
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