| 耦合边界条件下Sturm-Liouville问题特征值与特征函数的渐近式 |
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| 引用本文： | 王琳,高云兰,姜朝宇.耦合边界条件下Sturm-Liouville问题特征值与特征函数的渐近式[J].内蒙古工业大学学报,2011(2). |
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| 作者姓名： | 王琳 高云兰 姜朝宇 |
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| 作者单位： | 内蒙古工业大学理学院; |
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| 摘 要： | 本文利用刘景麟老师《常微分算子谱论》中对分离边界条件下正则Sturm-Liouville问题的研究方法(同阶无穷小的比较),研究了一般耦合边界条件下正则Sturm-Liouville问题,给出了耦合情形下的特征值与特征函数的渐近估计.(比已有的结果更精细)
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| 关 键 词： | 正则Sturm-Liouville问题 特征值 特征函数 渐近式 |
THE ASYMPTOTIC FORMULA OF EIGENVALUES AND EIGENFUNCTIONS OF STURM-LIOUVILLE PROBLEMS UNDER COUPLED BOUNDARY CONDITIONS |
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| WANG Lin,GAO Yunlan,JIANG Chaoyu.THE ASYMPTOTIC FORMULA OF EIGENVALUES AND EIGENFUNCTIONS OF STURM-LIOUVILLE PROBLEMS UNDER COUPLED BOUNDARY CONDITIONS[J].Journal of Inner Mongolia Polytechnic University(Social Sciences Edition),2011(2). |
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| Authors: | WANG Lin GAO Yunlan JIANG Chaoyu |
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| Institution: | WANG Lin,GAO Yunlan,JIANG Chaoyu(School of Science,Inner Mongolia University of Technology,Hohhot,010051) |
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| Abstract: | In this paper,the regular Sturm-Liouville problem with coupled boundary conditions is studied,with use of the method of comparing the same order infinitesimals,proposed by Professor Liu Jinglin for studying the regular Sturm-Liouville problem with the separated boundary conditions,introduced in Spectral Theory of Ordinary Differential Operators.The asymptotic formula of eigenvalues and eigenfunctions for the coupled cases is given.The precision of results appears to be better than of those obtained ever bef... |
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| Keywords: | regular Sturm-Liouville problem eigenvalue eigenfunction asymptotic formula |
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