| 不定与定型Sturm-Liouville问题间特征值不等式 |
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| 引用本文： | 魏广生,徐宗本. 不定与定型Sturm-Liouville问题间特征值不等式[J]. 数学学报, 2005, 48(4): 773-780. DOI: cnki:ISSN:0583-1431.0.2005-04-016 |
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| 作者姓名： | 魏广生 徐宗本 |
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| 作者单位： | [1]西安交通大学应用数学研究中心及信息与系统科学研究所，西安710049／／长安大学理学院，西安710064 [2]西安交通大学应用数学研究中心及信息与系统科学研究所，西安710049 |
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| 基金项目： | 国家自然科学基金资助项目(10171080)，长安大学科技发展基金资助项目 |
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| 摘 要： | 应用不定和定型Sturm-Liouville(S-L)问题在直和空间上的等价刻画,以及其特征值对边界和边值条件的单调依赖关系,本文建立了不定型S-L问题与一个相关的定型S-L问题之间的特征值不等式关系.
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| 关 键 词： | 不定型Sturm-Liouville问题 特征值 边值条件 |
Inequalities Among Eigenvalues Between Indefinite and Definite Sturm-Liouville Problems |
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| Guang Sheng WEI Research Center for Apphed Mathematics and Institute for Information and System Science,Xi'an Jiaotong University,Xi'an ,P. R. China School of Sciences,Chang'an University,Xi'an ,P. R. China Zong Ben XU Research Center for Applied Mathematics and Institute for Information and System Science,Xi'an Jiaotonq University,Xi'an P. R. China. Inequalities Among Eigenvalues Between Indefinite and Definite Sturm-Liouville Problems[J]. Acta Mathematica Sinica, 2005, 48(4): 773-780. DOI: cnki:ISSN:0583-1431.0.2005-04-016 |
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| Authors: | Guang Sheng WEI Research Center for Apphed Mathematics Institute for Information System Science Xi'an Jiaotong University Xi'an P. R. China School of Sciences Chang'an University Xi'an P. R. China Zong Ben XU Research Center for Applied Mathematics Institute for Information System Science Xi'an Jiaotonq University Xi'an P. R. China |
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| Affiliation: | Guang Sheng WEI Research Center for Apphed Mathematics and Institute for Information and System Science, Xi'an Jiaotong University, Xi'an 710049, P. R. China School of Sciences, Chang'an University, Xi'an 710064, P. R. China Zong Ben XU Research Center for Applied Mathematics and Institute for Information and System Science, Xi'an Jiaotonq University, Xi'an 710049 P. R. China |
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| Abstract: | This paper establishes the inequalities among the eigenvalues between an indefinite and an associated definite Sturm-Liouville (S-L) problems. The methods used here are based on the characterizations of indefinite and definite S-L problems on a direct sum space, and the monotonous dependence of the eigenvalues of S-L problems on the boundary and boundary conditions. |
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| Keywords: | Indefinite Sturm-Liouville problem Eigenvalues Boundary condition |
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