| Sturm-Liouville边值问题变号解的存在性 |
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| 引用本文： | 李建利,;张文丽.Sturm-Liouville边值问题变号解的存在性[J].太原师范学院学报(自然科学版),2014(1):26-28. |
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| 作者姓名： | 李建利 ;张文丽 |
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| 作者单位： | [1]太原大学基础部,山西太原030032; [2]长治学院数学系,山西长治046011 |
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| 摘 要： | 利用不动点理论结合拓扑度理论得到了Banach空间中Sturm-Liouville两点边值问题变号解的存在性.
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| 关 键 词： | Sturm-Liouville两点边值问题 强正线性算子 变号解 |
Existence of Sign-Changing Solutions to Sturm-Liouville Boundary Value Problems |
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| Li Jianli;Zhang Wenli.Existence of Sign-Changing Solutions to Sturm-Liouville Boundary Value Problems[J].Journal of Taiyuan Normal University:Natural Science Edition,2014(1):26-28. |
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| Authors: | Li Jianli;Zhang Wenli |
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| Institution: | Li Jianli , Zhang Wenli (1. Department of Basic,Taiyuan University,Taiyuan 030032; 2. Department of Mathematics, Changzhi University, Changzhi 046011, China) |
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| Abstract: | By virtue of the theory of fixed point and topological degree,the existence of signchanging solutions for Sturm-Liouville Boundary Value Problems is obtained. |
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| Keywords: | Sturm-Liouville two-point boundary value problems strong positive linear operator sign-changing solutions |
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