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| 上下解方法在四阶非局部边值问题中的应用 | |
| 引用本文： | 庞慧慧,曹丽梅,葛渭高. 上下解方法在四阶非局部边值问题中的应用[J]. 数学的实践与认识, 2009, 39(21) |
| 作者姓名： | 庞慧慧 曹丽梅 葛渭高 |
| 作者单位： | 1. 中国农业大学理学院,北京,100083 2. 北京科技人学应用科学学院,北京,100083 3. 北京理工大学数学系,北京,100081 |
| 基金项目： | 中国农业大学科研启动基金 |
| 摘 要： | 考虑具有p-Laplacian算子的四阶微分方程非局部边值问题.通过构造Green函数,利用上下解方法,结合单调迭代技巧得到了四阶非局部边值问题迭代解的存在性.最后给出实例验证主要结论. |
| 关 键 词： | 上下解 非局部边值问题 Green函数 |
Upper and Lower Solution Method for Fourth-Order Nonlocal Boundary Val ue Problem |
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| PANG Hui-hui,CAO Li-mei,GE Wei-gao. Upper and Lower Solution Method for Fourth-Order Nonlocal Boundary Val ue Problem[J]. Mathematics in Practice and Theory, 2009, 39(21) | |
| Authors: | PANG Hui-hui CAO Li-mei GE Wei-gao |
| Abstract: | We consider fourth-order differential equation nonlocal boundary value problem with a p-Laplacian. We obtain iterative solution of fourth-order nonlocal boundary value problem by constructing Green's function, using the method of upper and lower solution and combining the technique of monotone iteration. Finally, we give an example to illustrate our main result. |
| Keywords: | upper and lower solution nonlocal boundary value problem Green's function |
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