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一类奇异三阶微分方程三点边值问题正解的存在性
  • ISSN号：1001-5167
  • 期刊名称：内蒙古工业大学学报(自然科学版)
  • 时间：2015.3.5
  • 页码：88-93
  • 分类：O175.3[理学—数学;理学—基础数学]
  • 作者机构：[1]肇庆学院数学与信息科学学院,广东肇庆526061
  • 相关基金：国家自然科学基金资助项目（11171295和11171198）
  • 相关项目：非自伴微分算子谱理论及其应用
作者： 廉玉婷|高云兰|李晓宇|王国君|
关键词： Sturm—Liouville问题, 逆问题, 特征值, Sturm-Liouville problem, inverse problem , eigenvalue
中文摘要：

讨论一类边条件含特征参数的Sturm—Liouville问题的特征值不等式及逆谱问题．利用Sturm—Liouville问题的Weyl—Titchmarshm一函数的分段单调性，得到边条件线性含特征参数的Sturm—Liouville问题与经典Sturm—Liouville问题的特征值间的交替不等式．然后得到由含特征参数的边条件和Dirichlet边条件确定的两个常微分算子的特征值可唯一确定势函数的结论．

英文摘要：

The inequality among eigenvalues and inverse eigenvalue problem were discussed for a class of Sturm-Liouville problem with eigenparameter dependent boundary condition. By studying the piecewise monotonicity of Weyl-Titchmarsh rn -function of Sturm-Liouville problem,an inequali- ty among eigenvalues was obtained concerning the Sturm-Liouville problem with eigenparameter in the boundary conditions and eigenvalues of a classical Sturm-Liouville problem under Dirichlet boundary conditions. The inverse eigenvalue problem was studied, and the results showed that the potential can be determined by the set of eigenvalues for eigenparameters with linear dependent boundary conditions and Dirichlet boundary conditions.

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非自伴微分算子谱理论及其应用
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期刊信息
  • 《内蒙古工业大学学报：自然科学版》
  • 主管单位:
  • 主办单位:内蒙古工业大学
  • 主编：栗文义
  • 地址：内蒙古呼和浩特市新城区爱民街49号
  • 邮编：010051
  • 邮箱：xuebao@imut.edu.cn
  • 电话：0471-6575729
  • 国际标准刊号：ISSN：1001-5167
  • 国内统一刊号：ISSN：15-1060/T
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:1653