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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
【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.
【Abstract】 In this paper,we investigate some fundamental spectral properties of discontinuous Sturm-Liouville problem at some points with eigenparameter-dependent boundary condition.The distributions and asymptotic approximate formulae of eigenvalues of this problems were obtained.
【关键词】 Sturm-Liouville问题;
耦合边条件;
不连续边值问题;
【Key words】 Sturm-Liouville problems; coupled conditions; discontinuous boudary-value problems;
【Key words】 Sturm-Liouville problems; coupled conditions; discontinuous boudary-value problems;
【基金】 国家自然科学基金(11171295)资助项目
- 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,2016年04期
- 【分类号】O175.9
- 【下载频次】38