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| 左定Sturm-Liouville算子的特征值计算(英文) | |
| 引用本文： | 张艳霞,黄振友,张学锋.左定Sturm-Liouville算子的特征值计算(英文)[J].应用泛函分析学报,2010,12(2):110-114. |
| 作者姓名： | 张艳霞 黄振友 张学锋 |
| 作者单位： | 1. 安徽工业大学数理学院,马鞍山,243002 2. 南京理工大学理学院,南京,210094 3. 安徽工业大学计算机学院,马鞍山,243002 |
| 摘 要： | 研究了定义在有限区间a,b]上的具有分离型和混合型边界条件的左定正则Sturm-Liouville算子的特征值问题.把具有混合型边界条件的左定正则Sturm-Liouville问题转化成二维的、具有分离型边界条件的右定正则Sturm-Liouville问题,给出了具有混合型边界条件的左定正则Sturm-Liouville算子的特征值的数值计算方法. |
| 关 键 词： | 左定Sturm-Liouville算子 右定Sturm-Liouville算子 特征值 |
Computing Eigenvalues of Left-Definite Sturm-Liouville Problems |
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| ZHANG Yanxia,HUANG Zhenyou,ZHANG Xuefeng.Computing Eigenvalues of Left-Definite Sturm-Liouville Problems[J].Acta Analysis Functionalis Applicata,2010,12(2):110-114. | |
| Authors: | ZHANG Yanxia HUANG Zhenyou ZHANG Xuefeng |
| Institution: | 1. School of Mathematics Physics , Anhui University of Technology, Ma＇anshan 243002, China 2. School of Science and Engineering, Nanjing University of Science and Technology, Nanjing, 210094, China 3. Department of Computer and Science, Anhui University of Technology, Ma＇anshan 243002, China) |
| Abstract: | In this paper, we study left-definite regular self-adjoint Sturm-Liouville Problems with separated and coupled boundary conditions, and we give an algorithm to compute eigenvalues of left-definite regular self-adjoint Sturm-Liouville Problems with arbitrary coupled boundary condi-tions.Our method consists in translating left-definite Sturm-Liouville Problems with coupled bound-ary conditions into a right-definite Sturm-LiouviUe problem of dimension two with separated boundary conditions. |
| Keywords: | problems right-definiteness left-definiteness eigenvalue |
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