GCRIS :: Search

Search Results

Now showing 1 - 2 of 2

Citation - WoS: 3
Instability Intervals of a Hill's Equation With Piecewise Constant and Alternating Coefficient
(Pergamon-elsevier Science Ltd, 2004) Guseinov, GS; Karaca, IY
In this paper, we obtain asymptotic formulas for eigenvalues of the periodic and the semiperiodic boundary value problems associated with a Hill's equation having piecewise constant and alternating coefficient. As a corollary, it is shown that the lengths of instability intervals of the considered Hill's equation tend to infinity. (C) 2004 Elsevier Ltd. All rights reserved.
Citation - WoS: 8
Citation - Scopus: 8
Completeness of the Eigenvectors of a Dissipative Second Order Difference Operator: Dedicated To Lynn Erbe on the Occasion of His 65th Birthday
(Taylor & Francis Ltd, 2002) Guseinov, GS
In this paper we consider a dissipative linear operator generated in the Hilbert space l(2) by a second order difference expression on the semi-axis (in other words, by an infinite Jacobi matrix) in the Weyl-Hamburger limit-circle case. This operator is constructed via a boundary condition at infinity. We prove the completeness in 2 of the system of eigenvectors and associated vectors of the dissipative operator which is considered.