On the eigenvalue problems for finite-difference operators with coupled boundary conditions

Author:

Svajūnas SAJAVIČIUS

AMS Classification:

65L15, 65L12

Keywords:

coupled boundary conditions, eigenvalue problem, finite-difference operator

Abstract:

In the paper, the eigenvalue problems for one- and two-dimensional second order finite-difference operators with nonlocal coupled boundary conditions are considered. Conditions for the existence of zero, positive, negative or complex eigenvalues are proposed and analytical expressions of eigenvalues are provided.

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Saja-2010

Vol. 5 (13), 2010