| 一类两边界条件含参数的Sturm-Liouville问题 |
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| 引用本文： | 张茂柱,黄振友.一类两边界条件含参数的Sturm-Liouville问题[J].应用泛函分析学报,2008,10(4):366-372. |
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| 作者姓名： | 张茂柱 黄振友 |
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| 作者单位： | 1. 泰山学院数学与系统科学系,山东,泰安,271021
2. 南京理工大学,数学系,江苏,南京,210094 |
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| 摘 要： | 考虑第一个边界条件为参数的线性函数，第二个边界条件为有理函数的Sturm-Liouville问题．给出问题的特征值、特征函数的渐近式以及特征函数的振荡理论，并给出相应的应用实例．
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| 关 键 词： | Sturm-Liouville问题 参数边界条件 特征值 特征函数 振荡理论 |
A Class of Sturm-Liouville Problems with Eigenparameter Dependent Two Boundary Conditions |
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| ZHANG Mao-zhu,HUANG Zhen-you.A Class of Sturm-Liouville Problems with Eigenparameter Dependent Two Boundary Conditions[J].Acta Analysis Functionalis Applicata,2008,10(4):366-372. |
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| Authors: | ZHANG Mao-zhu HUANG Zhen-you |
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| Institution: | ZHANG Mao-zhu~1 HUANG Zhen-you~2 1.Department of Mathematics,Taishan University,Taian Shandong 271021,China 2.Department of Mathematics,Nanjing University of Science and Technology,Nanjing Jiangsu 210094,China |
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| Abstract: | In this paper,Sturm-Liouville problems with a decreasing affine function of eigenparameter in the first boundary condition and an arbitrary rational function in the second boundary condition is considered.Asymptotic estimates of eigenvalues and eigenfunctions are given and oscillation results are developed.Also we give a corresponding example. |
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| Keywords: | Sturm-Liouville problem eigenparameter dependent two boundary conditions eigenvalue eigenfunction oscillation theory |
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