| 泛函差分方程的非线性边值问题的单调迭代方法 |
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| 引用本文： | 田淑环.泛函差分方程的非线性边值问题的单调迭代方法[J].保定师专学报,2010(3):28-30. |
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| 作者姓名： | 田淑环 |
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| 作者单位： | 保定学院数学与计算机系,河北保定071000 |
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| 摘 要： | 通过构造单调迭代序列,并借助极大值原理及求上下解方法证明泛函差分方程非线性边值问题解的存在性.
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| 关 键 词： | 泛函差分方程 上下解 非线性边值问题 单调迭代 |
Monotone Iterative Method for Functional Difference Equations with Nonlinear Boundary Value Conditions |
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| Tian Shuhuan.Monotone Iterative Method for Functional Difference Equations with Nonlinear Boundary Value Conditions[J].Journal of Baoding Teachers College,2010(3):28-30. |
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| Authors: | Tian Shuhuan |
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| Institution: | Tian Shuhuan (Department of Mathematics and Computer,Baoding University,Baoding 071000,China) |
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| Abstract: | In this paper,it is showed that the method of monotone iterative coupled with upper and lower solutions is valid to obtain constructive proofs to existence of solutions for functional difference equations with nonlinear boundary value conditions. |
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| Keywords: | functional difference equation upper and lower solutions nonlinear boundary value condition monotone iterative |
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