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边界条件中带有谱参数且在多个点不连续的Sturm-Liouville算子的特征问题

Eigenvalues of Sturm-Liouville Operators with Eigenparameter-dependent Boundary Conditions and Some Discontinuous Points
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摘要 本文研究了边界条件中带有谱参数且在多个不连续点处具有转移耦合边条件的SturmLiouville特征问题,得到了该问题的特征值分布和特征值的渐近式. In this paper, we investigate some fundamental spectral properties of discon- tinuous Sturm-Liouville problem at some points with eigenparameter-dependent boundary condition. The distributions and asymptotic approximate formulae of eigenvalues of this problems were obtained.
作者 王忠 张鹏军 曹玉峰
机构地区 肇庆学院数学与统计学院
出处 《应用数学学报》 CSCD 北大核心 2016年第4期505-522,共18页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(11171295)资助项目
关键词 STURM-LIOUVILLE问题 耦合边条件 不连续边值问题 Sturm-Liouville problems coupled conditions discontinuous boudary-value problems
分类号 O175.3 [理学—基础数学]
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参考文献14

  • 1Akdogan Z, Demirci M, Mukhtarov O SH. Green function of discontinuous boundary-value problem with transmission conditions. Math. Met. Appl. Sci., 2007, 30:1719-1738.
  • 2Altinisik N, Kadakal M, Mukhtarov O SH. Eigenvalues and eigenfunctions of discontinuous Sturm- Liouville Problem with eigenparameter-dependent boudary condition. Acta Mathethematica Hunger, 2004, 102(1-2): 159-175.
  • 3曹玉峰,王忠.边界条件中带有谱参数且具有k点不连续的Sturm-Liouville问题[J].内蒙古大学学报（自然科学版）,2010,41(6):610-617. 被引量：1
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二级参考文献1

  • 1N. Altinisik,M. Kadakal,O. SH. Mukhtarov. Eigenvalues and eigenfunctions of discontinuous Sturm--Liouville problems with eigenparameter-dependent boundary conditions[J] 2004,Acta Mathematica Hungarica(1-2):159～193
应用数学学报
2016年 第4期

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