Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610185 | Journal of Differential Equations | 2013 | 21 Pages |
Abstract
Inverse spectral problems are considered for differential pencils with boundary conditions depending polynomially on the spectral parameter and with a finite number of transmission conditions. We give formulations of the associated inverse problems such as Titchmarsh-Weyl theorem, Hochstadt-Lieberman theorem and Mochizuki-Trooshin theorem, and prove corresponding uniqueness theorems. The obtained results are generalizations of the similar results for the classical Sturm-Liouville operator on a finite interval.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chuan-Fu Yang,