A new kind of uniqueness theorems for inverse Sturm-Liouville problems

Boundary value problems

Yuri Ashrafyan¹ 

[1] Department of Mathematics and Mechanics, Yerevan State University, Yerevan, Armenia

关键词: inverse problem;    Sturm-Liouville operator;    uniqueness theorem;    Ambarzumyan theorem;   

DOI  :  10.1186/s13661-017-0813-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems. Moreover, we prove a generalization of Ambarzumyan’s theorem.

【 授权许可】

CC BY