| 一类Sturm-Liouville问题的特征值的渐近分析 |
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| 引用本文： | 王永乐,王万义.一类Sturm-Liouville问题的特征值的渐近分析[J].宝鸡文理学院学报(自然科学版),2014(1):11-15. |
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| 作者姓名： | 王永乐 王万义 |
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| 作者单位： | 内蒙古师范大学数学科学学院,内蒙古呼和浩特010022 |
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| 摘 要： | 目的讨论一类有限区间0,π]上的常型Sturm-Liouville算子特征值的渐近估计。方法本文运用了同阶无穷小的比较法。结果得到了一类有限区间0,π]上的常型Sturm-Liouville问题比较精细的特征值的渐近估计。结论给出了微分方程系数及边条件对特征值的影响。
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| 关 键 词： | Sturm-Liouville问题 特征值 渐近分析 |
Asymptotic analysis of the eigenvalue of a class of Sturm-Liouville problem |
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| WANG Yong-le,WANG Wan-yi.Asymptotic analysis of the eigenvalue of a class of Sturm-Liouville problem[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2014(1):11-15. |
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| Authors: | WANG Yong-le WANG Wan-yi |
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| Institution: | (College of Mathematical Science, Inner Mongolia Normal University, Hohhot 010022, Inner Mongolia, China) |
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| Abstract: | Objective-To discuss the asymptotic formulas for the eigenvalues of a class of regular Sturm-Liouville problem defined on O, π]. Methods-The method of comparison with infinitesimal of the same order is used for the said objective. Results-The asymptotic estimation of the eigenvalues of such kind of Sturm Liouville problems is obtained. Conclusion-It is shown that the eigenvalues de pend not only on the coefficients of differential equation but also on the boundary conditions. |
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| Keywords: | Strum-Liouville problem eigenvalues asymptotic analysis |
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