| Banach空间中含间断项Sturm—Liouville问题的解 |
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| 引用本文： | 陆海霞.Banach空间中含间断项Sturm—Liouville问题的解[J].纯粹数学与应用数学,2013(2):125-131. |
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| 作者姓名： | 陆海霞 |
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| 作者单位： | 宿迁学院教师教育系,江苏宿迁223800 |
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| 基金项目： | 国家自然科学基金（10971179）;宿迁学院科研基金（2011KYl0）. |
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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．
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| 关 键 词： | 拟上下解 混合单调迭代方法 Sturm—Liouville问题 |
Solutions of Sturm-Liouville problems with discontinuous terms in Banach spaces |
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| Lu Haixia.Solutions of Sturm-Liouville problems with discontinuous terms in Banach spaces[J].Pure and Applied Mathematics,2013(2):125-131. |
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| Authors: | Lu Haixia |
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| Institution: | Lu Haixia (Department of Teachers Education, Suqian College, Suqian 223800, China) |
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| Abstract: | 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 |
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| Keywords: | quasi-upper and lower solutions mixed monotone iterative technique Sturm-LiouviUe problems |
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