Inverse nodal problem for polynomial pencil of Sturm-Liouville operator

被引：6
作者：
Goktas, Sertac [1 ]
Koyunbakan, Hikmet [2 ]
Gulsen, Tuba [2 ]
机构：
[1] Mersin Univ, Dept Math, TR-33343 Mersin, Turkey
[2] Firat Univ, Dept Math, TR-23119 Elazig, Turkey
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 17期
关键词：
nodal points; Prufer substitution; polynomial pencil; RECONSTRUCTION;
D O I：
10.1002/mma.5220
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is about boundary value problem for polynomial pencil of Sturm-Liouville operators. Especially, we find all coefficients of the operator by using nodal points (zeros of eigenfunctions). Regularly, we find eigenvalues, nodal points, and nodal lengths by Prufer substitution. These results are used to give a reconstruction formula for all complex functions q(d)(x), d = (0,n-1) over bar which are known potentials in the theory. However, method is similar with some papers; our resultsmore general then because of including many potential functions.
引用
收藏
页码：7576 / 7582
页数：7
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