The inverse problem for differential pencils on a star-shaped graph with mixed spectral data

• 作者: Chung Tsun Shieh Natalia Bondarenko Yu Ping Wang
• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2020,（8）
• 所属期刊栏目: Articles
• 页码范围: 1559-1570
• 页数: 12页
• 语种: 英文

摘要

The partial inverse problem for differential pencils on a star-shaped graph is studied from mixed spectral data.More precisely,we show that if the potentials on all edges on the star-shaped graph but one are known a priori then the unknown potential on the remaining edge can be uniquely determined by partial information on the potential and a part of eigenvalues.