| 含间断项微分方程边值问题的一种拟上下解方法 |
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| 引用本文： | 陆海霞.含间断项微分方程边值问题的一种拟上下解方法[J].甘肃联合大学学报(自然科学版),2010,24(6). |
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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; |
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| 基金项目： | 国家自然科学基金资助项目，宿迁学院科研基金资助项目 |
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| 摘 要： | 利用L-拟上下解方法和混合单调迭代法,研究了Banach空间中含间断项的一阶非线性微分方程周期边值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： | L-拟上下解 混合单调迭代方法 边值问题 |
A Method of Quasi-upper and Lower Solutions for Boundary Value Problems of Differential Equations with Discontinuous Terms |
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| LU Hai-xia.A Method of Quasi-upper and Lower Solutions for Boundary Value Problems of Differential Equations with Discontinuous Terms[J].Journal of Gansu Lianhe University :Natural Sciences,2010,24(6). |
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| Authors: | LU Hai-xia |
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| Institution: | LU Hai-xia(Department of Teachers Education,Suqian College,Suqian 223800,China) |
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| Abstract: | Using the method of quasi-upper and lower solutions and the mixed monotone iterative technique,the existence and unique solution of boundary value problems for one order nonlinear differential equations with discontinuous terms in Banach spaces was studied,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 boundary value problems |
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