A. M. Akhtyamov, V. A. Sadovnichy, Ya. T. Sultanaev, “Inverse problem for an operator pencil with nonseparated boundary conditions”, Eurasian Math. J., 2010, Volume 1, Number 2,Pages <nobr>5

This article is cited in 7 papers

Inverse problem for an operator pencil with nonseparated boundary conditions

A. M. Akhtyamov^a, V. A. Sadovnichy^b, Ya. T. Sultanaev^c

^a Institute of Mechanics, Ufa Scientific Centre, Ufa, Russia
^b M. V. Lomonosov Moscow State University, Moscow, Russia
^c Bashkir State University, Ufa, Russia

Abstract: In this work an inverse problem of spectral analysis for a quadratic pencil of operators with general nonselfadjoint nonseparated boundary conditions is considered. Uniqueness and duality theorems are proved, an algoritm for solving the problem is presented. Apropriate examples and counterexample are given.

Keywords and phrases: inverse eigenvalue problem, nonseparated boundary conditions, quadratic pencil.

MSC: 34A55, 34B05, 34B07

Received: 05.06.2010

Language: English