论文摘要
讨论了一类边条件含特征参数有理式的Sturm-Liouville问题的特征值不等式及其逆谱问题.利用Weyl-Titchmarsh m-函数的分段单调性,得到这类Sturm-Liouville问题的特征值与一类经典Sturm-Liouville问题的特征值,以及1个常数间的交替不等式,同时得到由含特征参数有理式的边条件和Dirichlet边条件确定的2个常微分算子的特征值可唯一确定势函数.
论文目录
文章来源
类型: 期刊论文
作者: 傅守忠,王忠
关键词: 问题,逆问题,特征值,边条件,谱参数,有理式
来源: 肇庆学院学报 2019年02期
年度: 2019
分类: 社会科学Ⅱ辑,基础科学
专业: 数学
单位: 肇庆学院数学与统计学院
分类号: O175
页码: 1-4+16
总页数: 5
文件大小: 1306K
下载量: 39
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