| Banach空间非线性二阶边值问题单调迭代求解 |
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| 引用本文： | 蒲晓东.Banach空间非线性二阶边值问题单调迭代求解[J].甘肃科学学报,2009,21(3):33-36. |
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| 作者姓名： | 蒲晓东 |
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| 作者单位： | 西北师范大学,数学与信息科学学院,甘肃,兰州,730070 |
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| 摘 要： | 在一般的Banach空间中，仅使用一个上解或下解，利用算子谱理论和非紧性测度条件获得了二阶2点边值问题解的存在性结果．
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| 关 键 词： | Banach空间 边值问题 单调迭代方法 |
Solving Process of Monotonic Iteration for Nonlinear Second Order Boundary Value Problems in Banach Space |
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| PU Xiao-dong.Solving Process of Monotonic Iteration for Nonlinear Second Order Boundary Value Problems in Banach Space[J].Journal of Gansu Sciences,2009,21(3):33-36. |
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| Authors: | PU Xiao-dong |
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| Institution: | PU Xiao-dong(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | In ordinary Banach space,with only an lower solution or an upper solution,the existence results of solutions for second order boundary value problem are abtained by employing spectral analysis and noncompact measures. |
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| Keywords: | Banach space boundary value problem monotonic iterative technique |
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