Advances in Difference Equations
Volume 2010 (2010), Article ID 623508, 23 pages
Research Article

Transformations of Difference Equations II

School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, South Africa

Received 13 April 2010; Revised 30 July 2010; Accepted 6 September 2010

Academic Editor: M. Cecchi

Copyright © 2010 Sonja Currie and Anne D. Love. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This is an extension of the work done by Currie and Love (2010) where we studied the effect of applying two Crum-type transformations to a weighted second-order difference equation with non-eigenparameter-dependent boundary conditions at the end points. In particular, we now consider boundary conditions which depend affinely on the eigenparameter together with various combinations of Dirichlet and non-Dirichlet boundary conditions. The spectra of the resulting transformed boundary value problems are then compared to the spectra of the original boundary value problems.