摘要
考虑与三组谱关联的逆Sturm-Liouville问题,证明了若对于给定的两组数列,在一定条件下,可划分为三组数列,使其分别为区间[0,a]上三个Sturm-Liouville问题的部分特征值,则通过三组谱的部分特征值能唯一确定区间[0,a]上的势函数q(x).
The inverse Sturm-Liouville problem associated with three spectra is considered. It is shown that if the given two sequences can divided into three sequences in certain conditions, which can be the corresponding parts of eigenvalues of three Sturm-Liouville problems defined on the interval [0;a], then the potential function q(x) on the interval [0;a] can be uniquely determined by the corresponding parts of the three spectra.
作者
刘瑶
Liu Yao(College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,China)
出处
《纯粹数学与应用数学》
2019年第2期190-200,共11页
Pure and Applied Mathematics
基金
国家自然科学基金(11171198)
