| 一类四阶微分算子的谱 |
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| 引用本文： | 张新艳,王万义.一类四阶微分算子的谱[J].内蒙古师范大学学报(自然科学版),2009,38(6):635-637. |
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| 作者姓名： | 张新艳 王万义 |
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| 作者单位： | 内蒙古财经学院统计与数学学院;内蒙古大学数学科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10661008,10861008);;内蒙古自然科学基金资助项目(20010901-06) |
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| 摘 要： | 利用库朗变分原理,得到具有狄立克莱边界条件的一类四阶微分算子的谱是离散且下方无界的充分条件.
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| 关 键 词： | 离散谱 分段连续实函数 狄立克莱边界条件 库朗变分原理 |
The Spectrum of A Class of Four-order Differential Operator |
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| ZHANG Xin-yan,WANG Wan-yi.The Spectrum of A Class of Four-order Differential Operator[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2009,38(6):635-637. |
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| Authors: | ZHANG Xin-yan WANG Wan-yi |
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| Institution: | 1.College of Statistics and Mathematics;Inner Mongolia Finance and Economics;Hohhot 010070;China;2.College of Mathematics Science;Inner Mongolia University;Hohhot 010021;China |
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| Abstract: | In this paper,the sufficient conditions for the discrete and unbounded below spectrum of a class of four-order differential operator with Dirichlet boundary conditions are obtained by Courant variational principle. |
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| Keywords: | discrete spectrum piecewise continuous real function Dirichlet boundary conditions Courant variational principle |
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