| 具有混合型边界条件的左定Sturm-Liouville问题特征值的下标计算(英文) |
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| 引用本文： | 张艳霞,张学锋.具有混合型边界条件的左定Sturm-Liouville问题特征值的下标计算(英文)[J].应用数学,2012,25(2):311-317. |
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| 作者姓名： | 张艳霞 张学锋 |
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| 作者单位： | 1. 安徽工业大学数理学院,安徽马鞍山,243002
2. 安徽工业大学计算机学院,安徽马鞍山,243002 |
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| 基金项目： | Supported by the Foundation for Young Teacher by Anhui Provincial Education Department(2011SQRL029);the National Natural Science Foundation of China(41074132) |
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| 摘 要： | 本文研究具有混合型边界条件的左定Sturm-Liouvile问题特征值的下标计算问题.首先给出具有分离型边界条件和混合型边界条件的左定Sturm-Liouville问题的特征值之间的不等式;然后利用这个结果给出一种计算混合型边界条件下左定Sturm-Liouville问题特征值下标的方法.
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| 关 键 词： | Sturm-Liouville问题 右定性 左定性 下标 特征值不等式 |
Indices of Eigenvalues of Left-definite Sturm-Liouville Problems with Coupled Boundary Conditions |
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| ZHANG Yanxia
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ZHANG Xuefeng.Indices of Eigenvalues of Left-definite Sturm-Liouville Problems with Coupled Boundary Conditions[J].Mathematica Applicata,2012,25(2):311-317. |
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| Authors: | ZHANG Yanxia ZHANG Xuefeng |
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| Institution: | 1.School of Mathematics & Physics,Anhui University of Technology,Ma’anshan 243002,China;2.Department of Computer Science,Anhui University of Technology,Ma’anshan 243002,China) |
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| Abstract: | In this paper,we study the indices of left-definite regular self-adjoint Sturm-Liouville problems with coupled boundary conditions.Firstly,we establish a sequence of inequalities among the eigenvalues for Sturm-Liouville problems with separated and coupled boundary conditions.And then,using these results,we construct an algorithm for computing the indices of eigenvalues for the Sturm-Liouville problems. |
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| Keywords: | Sturm-Liouville problem Right-definiteness Left-definiteness Index Eigenvalue inequality |
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