Recovering nonselfadjoint differential pencils with nonseparated boundary conditions

Abstract

Nonselfadjoint second-order differential pencils on a finite interval with nonseparated boundary conditions are studied. We establish some important properties of spectral characteristics and investigate inverse problems of recovering the operator from its spectral data. For these inverse problems, we prove the corresponding uniqueness theorems and provide procedures for constructing their solutions.

Keywords:

• differential pencils
• nonseparated boundary conditions
• inverse problems

AMS Subject Classifications:

• 34A55
• 34B24
• 34B07
• 47E05

Notes

This work was supported by DAAD and the Russian Ministry of Education and Science [grant number 1.1436.2014K].