Home Inverse problems for second-order differential pencils with Dirichlet boundary conditions
Article
Licensed
Unlicensed Requires Authentication

Inverse problems for second-order differential pencils with Dirichlet boundary conditions

  • Sergey A. Buterin EMAIL logo and Vjacheslav A. Yurko
Published/Copyright: December 14, 2012

Abstract.

Inverse spectral problems are studied for second-order differential pencils on a finite interval with arbitrary behavior of the spectrum. The spectral data introduced generalize the classical discrete spectral data corresponding to the specification of the spectral function for the selfadjoint Sturm–Liouville operator. The connection with other types of spectral characteristics is investigated. By the method of spectral mappings a uniqueness theorem is proved and constructive procedures for solving the inverse problem are obtained.

Received: 2012-09-14
Published Online: 2012-12-14
Published in Print: 2012-12-01

© 2012 by Walter de Gruyter Berlin Boston

Downloaded on 24.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/jip-2012-0062/html
Scroll to top button