| 紧型条件下Sturm-Liouville问题解的存在性 |
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| 引用本文： | 张玲忠,李永祥.紧型条件下Sturm-Liouville问题解的存在性[J].数学研究及应用,2007,27(4):854-858. |
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| 作者姓名： | 张玲忠 李永祥 |
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| 作者单位： | 1. 甘肃农业大学理学院,甘肃,兰州,730070;西北师范大学数学与信息科学学院,甘肃,兰州,730070
2. 西北师范大学数学与信息科学学院,甘肃,兰州,730070 |
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| 摘 要： | 通过对线性方程解算子谱半径的论证,对非紧性测度的精细计算,利用不动点定理,讨论了Banach空间Sturm-Liouvile问题解的存在性与唯一性结果.
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| 关 键 词： | 边值问题 非紧性测度 凝聚映射的不动点定理 特征值. |
| 文章编号： | 1000-341X（2007）04-0854-05 |
| 收稿时间： | 2005/4/18 0:00:00 |
| 修稿时间： | 2005-04-18 |
Existence of Solutions to Sturm-Liouville Problem under Copactness Condition |
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| ZHANG Ling-zhong and LI Yong-xiang.Existence of Solutions to Sturm-Liouville Problem under Copactness Condition[J].Journal of Mathematical Research with Applications,2007,27(4):854-858. |
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| Authors: | ZHANG Ling-zhong and LI Yong-xiang |
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| Institution: | College of Science, Gansu Agricultural University, Gansu 730070, China; College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China;College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China |
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| Abstract: | Based on the fixed-point theorem,the existence and uniqueness of the solutions to Banach space's Sturrn-Liouville boundary value problem is proved precisely calculating the spectral radius of linear operation and the measure of noncompactness. |
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| Keywords: | boundary value problem measure of noncompactness fixed point index of condensing mapping eigenvalue |
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