MATHEMATICAL MODELING AND NUMERICAL SIMULATION

On spectral properties of a nonselfadjoint difference operator

A. Yu. Mokin

Lomonosov Moscow State University, The Faculty of Computational Mathematics and Cybernetics,1 Leninskie Gory, Moscow, 119991, Russia

Abstract: The eigenvalue problem for a nonselfadjoint difference operator with nonconstant coefficient is considered. The main peculiarity of the problem is that its solution satisfies a two-point nonlocal boundary condition. Multiplicity of eigenvalues is discussed and a region where all eigenvalues reside is defined taking into account a very generic assumption about the nonconstant coefficient.

Keywords: eigenvalue problem, nonselfadjoint difference operator.

UDC: 519.63

Received: 28.03.2010

DOI: 10.20537/2076-7633-2010-2-2-143-150