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| On Eigenvalue Intervals for Discrete Second Order Boundary Value Problems | |
| 引用本文： | Zeng-jiDu Chun-yanXuet Wei-gaoGe. On Eigenvalue Intervals for Discrete Second Order Boundary Value Problems[J]. 应用数学学报(英文版), 2005, 21(1): 105-114. DOI: 10.1007/s10255-005-0221-3 |
| 作者姓名： | Zeng-jiDu Chun-yanXuet Wei-gaoGe |
| 作者单位： | 1，2 |
| 基金项目： | Supported by the National Natural Science Foundation of China (No. 10371006) |
| 摘 要： | In this paper, we consider discrete second order three-point boundary value problems. By exploring the properties of the associated Green's function and applying Guo-Krasnosel'skii's fixed point theorem, we show the existence of eigenvalue intervals. |
| 关 键 词： | 特征值区间 正解 离散二阶边值问题 不动点定理 格林函数 |
| 收稿时间： | 2003-05-22 |
On Eigenvalue Intervals for Discrete Second Order Boundary Value Problems |
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| Zeng-ji Du,Chun-yan Xue,Wei-gao Ge. On Eigenvalue Intervals for Discrete Second Order Boundary Value Problems[J]. Acta Mathematicae Applicatae Sinica, 2005, 21(1): 105-114. DOI: 10.1007/s10255-005-0221-3 | |
| Authors: | Zeng-ji Du Chun-yan Xue Wei-gao Ge |
| Affiliation: | (1) Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China;(2) Department of Mathematics, Shenyang Normal University, Shenyang 110034, China |
| Abstract: | In this paper, we consider discrete second order three-point boundary value problems. By exploring the properties of the associated Green's function and applying Guo-Krasnosel'skii's fixed point theorem, we show the existence of eigenvalue intervals. |
| Keywords: | eigenvalue intervals positive solution difference equations green's function fixed point theorem |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ | |