| 一类偶数阶微分算子的最大值原理及边值问题 |
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| 引用本文： | 江成顺,姚俐,杨鹏飞. 一类偶数阶微分算子的最大值原理及边值问题[J]. 郑州大学学报(理学版), 2005, 37(2): 10-16 |
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| 作者姓名： | 江成顺 姚俐 杨鹏飞 |
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| 作者单位： | 信息工程大学信息工程学院,郑州,450002 |
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| 基金项目： | 国家自然科学基金，河南省高校杰出科研创新人才工程项目 |
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| 摘 要： | 讨论了一类偶数阶微分算子的最大值原理,基于该原理用上下解方法证明了相应的非线性边值问题解的存在性,在某些附加条件之下,可以建立一种单调迭代的方法来求解这类问题,给出的例子强调了结果的有效性.
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| 关 键 词： | 最大值原理 偶数阶微分算子 边值问题 上下解方法 单调迭代 |
Maximum Principle for a Class of Even Order Differential Operators and Boundary Value Problems |
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| Jiang Chengshun,Yao Li,YANG Pengfei. Maximum Principle for a Class of Even Order Differential Operators and Boundary Value Problems[J]. Journal of Zhengzhou University(Natrual Science Edition), 2005, 37(2): 10-16 |
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| Authors: | Jiang Chengshun Yao Li YANG Pengfei |
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| Abstract: | The maximum principle for some even order differential operators is presented.And based on the principle,the existence of the solution to the corresponding nonlinear boundary value problems is proved by taking advantage of the upper and lower solutions method.Under some additional conditions,a monotone iteration procedure is proved to be valid for solving these problems.Besides,an example is presented to dwell upon the usefulness of results. |
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| Keywords: | maximum principle even order differential operator boundary value problem upper and lower solutions monotone iteration |
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