| 一类具有转移条件的不连续微分算子的渐近状态 |
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| 引用本文： | 杨秋霞,王万义.一类具有转移条件的不连续微分算子的渐近状态[J].应用数学,2011,24(1). |
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| 作者姓名： | 杨秋霞 王万义 |
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| 作者单位： | 1. 内蒙古大学数学科学学院,内蒙古,呼和浩特,010021;德州学院计算机系,山东,德州,253023
2. 内蒙古大学数学科学学院,内蒙古,呼和浩特,010021 |
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| 基金项目： | Supported by the National Nature Science Foundation of China (10661008); the Na-tional Nature Science Foundation of Nei mongo (200711020102) |
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| 摘 要： | 研究一类具有转移条件且边界条件依赖于特征参数的Sturm-Liouville算子,建立一个与其相关的新的空间框架,给出其特征的相关性质与特征函数的完备性,利用函数论方法得出其特征的渐近表示,并获得Green函数的表达式.
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| 关 键 词： | Sturm-Liouville算子 特征值 特征函数 Green函数 转移条件 |
Asymptotic Behavior of a Discontinuous Differential Operator with Transmission Conditions |
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| YANG Qiuxia,WANG Wanyi.Asymptotic Behavior of a Discontinuous Differential Operator with Transmission Conditions[J].Mathematica Applicata,2011,24(1). |
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| Authors: | YANG Qiuxia WANG Wanyi |
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| Institution: | YANG Qiuxia,WANG Wanyi(1.Mathematics Science College,Inner Mongolia University,Huhhot 010021,China,2.Department of Computer Science and Technology,Dezhou University,Dezhou 253023,China) |
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| Abstract: | In this paper,a Sturm-Liouville operator with eigenparameter-dependent boundary conditions and transmission conditions is studied.A new self-adjoint operator A is defined in an appropriate space H such that the eigenvalues of such a problem coincide with those of A.Asymptotic approximation formulae of its eigenvalues and completeness of its eigenfunctions are discussed,then asymptotic formulae for Green function is obtained. |
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| Keywords: | Sturm-Liouville operator Eigenvalue Eigenfunction Green function Transmission condition |
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