An inverse problem for the quadratic pencil of non-self-adjoint matrix operators on the half-line

作者：Bondarenko, Natalia^*; Freiling, Gerhard

来源：Journal of Inverse and Ill-Posed Problems, 2021, 29(4): 467-495.

DOI：10.1515/jip-2012-0100

• Matrix quadratic differential pencils
• Weyl matrix
• inverse spectral problems
• method of spectral mappings

We consider a pencil of non-self-adjoint matrix Sturm-Liouville operators on the half line and study the inverse problem of constructing this pencil by its Weyl matrix. A uniqueness theorem is proved, and a constructive algorithm for the solution is obtained.

• 出版日期2021-8