| 具有转移条件且边界条件含特征参数的奇异微分算子的谱分析 |
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| 引用本文： | 周立广,王万义,索建青,许美珍.具有转移条件且边界条件含特征参数的奇异微分算子的谱分析[J].内蒙古大学学报(自然科学版),2010,41(6). |
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| 作者姓名： | 周立广 王万义 索建青 许美珍 |
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| 作者单位： | 内蒙古大学数学科学学院;内蒙古工业大学理学院数学系; |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 考虑了有限区间内一类边界条件含特征参数且在一内点处具有转移条件的奇异Sturm-Liouville问题,构造了其基础解系,考察了该问题特征值的性质,给出了其基本解的渐进估计.
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| 关 键 词： | 奇异Sturm-Liouville问题 特征参数 转移条件 渐进估计 |
Spectrum of Singular Sturm-Liouville Problem with Eigenparameter Dependent Boundary Conditions and Transmission Conditions |
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| ZHOU Li-guang,WANG Wan-yi,SUO Jian-qing,XU Mei-zhen.Spectrum of Singular Sturm-Liouville Problem with Eigenparameter Dependent Boundary Conditions and Transmission Conditions[J].Acta Scientiarum Naturalium Universitatis Neimongol,2010,41(6). |
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| Authors: | ZHOU Li-guang WANG Wan-yi SUO Jian-qing XU Mei-zhen |
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| Institution: | ZHOU Li-guang1,WANG Wan-yi1,SUOJian-qing1,XU Mei-zhen2(1.School of Mathematical Sciences,Inner Mongolia University,Hohhot010021,China,2.Department of Mathematics,College of Sciences,Inner Mongolia University of Technology,Hohhot010051,China) |
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| Abstract: | The singular Sturm-Liouville problem with eigenparameter dependent boundary conditions and with transmission conditions at one inner point of a finite interval is considered. Fundamental solutions are constructed and some properties of the eigenvalues and asymptotic formulas for fundamental solutions of the considered problem are obtained. |
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| Keywords: | singular Sturm-Liouville problem eigenparameter transmission conditions asymptotic formula |
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