| 高阶离散边值问题的3个单调正解 |
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| 引用本文： | 郭彦平,葛渭高,董世杰.高阶离散边值问题的3个单调正解[J].北京理工大学学报,2002,22(4):407-411. |
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| 作者姓名： | 郭彦平 葛渭高 董世杰 |
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| 作者单位： | 1. 北京理工大学,应用数学系,北京,100081;河北科技大学,理学院,河北,石家庄,050018;2. 北京理工大学,应用数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金;19871005; |
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| 摘 要： | 给出一类2n阶离散边值问题的Green函数,通过Green函数在锥上构造一个全连续算子,并且在锥上定义2个非负连续的凹泛函和3个非负连续的凸泛函,利用5个泛函的不动点定理,研究了该问题3个单调整正解的存在性.
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| 关 键 词： | 离散边值问题 Green函数 正解 |
| 文章编号： | 1001-0645(2002)04-0407-05 |
| 收稿时间： | 2001/9/25 0:00:00 |
| 修稿时间： | 2001年9月25日 |
Triple Monotone Positive Solutions for Higher Order Discrete Boundary Value Problems |
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| GUO Yan ping,GE Wei gao and DONG Shi jie.Triple Monotone Positive Solutions for Higher Order Discrete Boundary Value Problems[J].Journal of Beijing Institute of Technology(Natural Science Edition),2002,22(4):407-411. |
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| Authors: | GUO Yan ping GE Wei gao and DONG Shi jie |
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| Institution: | GUO Yan ping 1,2,GE Wei gao 1,\ DONG Shi jie 1 |
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| Abstract: | Green's function for a class of 2 n th order discrete boundary value problems is given, and a completely continuous operator on a cone is constructed by the Green's function. Two nonnegative continuous concave functionals and three nonnegative continuous convex functionals on the cone are defined. Using the five functionals fixed point theorem, the existence of three monotone positive solutions for the boundary value problems is studied. |
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| Keywords: | discrete boundary value problem Green's function positive solution |
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