| Banach空间中一类二阶三点边值问题的一种拟上下解方法 |
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| 引用本文： | 李强.Banach空间中一类二阶三点边值问题的一种拟上下解方法[J].河南师范大学学报(自然科学版),2013,41(1):15-18. |
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| 作者姓名： | 李强 |
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| 作者单位： | 西北师范大学数学与统计学院,兰州,730070 |
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| 基金项目： | 国家自然科学基金(10871160;11061031) |
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| 摘 要： | 利用比较原理,通过构造L-拟上下解单调迭代过程,在L-拟上下解反序的情况下,获得了Banach空间中的一类二阶三点边值问题-u″(t)=f(t,u(t),u(t)),t∈I,u′(0)=θ,u(1)=δu(η)解的存在唯一性,并给出了该问题唯一解近似序列的误差估计.
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| 关 键 词： | 二阶三点边值问题 L-拟上下解对 反极大值原理 单调迭代方法 |
The Method of Quasi-upper and Lower Solution for Second Order Three-point Boundary Value Problems in Banach Spaces |
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| Li Qiang.The Method of Quasi-upper and Lower Solution for Second Order Three-point Boundary Value Problems in Banach Spaces[J].Journal of Henan Normal University(Natural Science),2013,41(1):15-18. |
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| Authors: | Li Qiang |
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| Institution: | Li Qiang(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | Using the comparison principle and monotone iterative technique,the existence of unique solution for the second order three-point boundary value problem -u″(t)=f(t,u(t),u(t)),t∈I,u′(0)=θ,u(1)=δu(η) in Banach spaces is obtained,and the error estimate of iterative sequences of the unique solution is also given,where the problems have L-quasi-upper and lower solutions in reversed order. |
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| Keywords: | second order three-point boundary value problem L-quasi-upper and lower solutions anti-maximum principle monotone iterative method |
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