R. F. Èfendiev, “Spectral Analysis of a Class of Non-Self-Adjoint Differential Operator Pencils with a Generalized Function”, TMF, 2005, Volume 145, Number 1,Pages <nobr>102

This article is cited in 5 papers

Spectral Analysis of a Class of Non-Self-Adjoint Differential Operator Pencils with a Generalized Function

R. F. Èfendiev

Baku State University

Abstract: We investigate the spectrum and solve the inverse problem for a pencil of non-self-adjoint second-order differential operators with a generalized function in the space $L_2(-\infty,+\infty)$.

Keywords: Schrodinger equation, Dirac delta function, Jost solution, spectral singularities, inverse problem.

Received: 20.12.2004
Revised: 06.04.2005

DOI: 10.4213/tmf1883