Advances in Difference Equations
Volume 2006 (2006), Article ID 27512, 8 pages

On difference equation with generalized dilation

Pavel Plaschinsky

Faculty of Mathematics and Mechanics, Belarusian State University, Skaryny Avenue 4F, Minsk 220050, Belarus

Received 22 July 2004; Revised 24 January 2005; Accepted 27 January 2005

Copyright © 2006 Pavel Plaschinsky. 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.


We investigate the functional equation with generalized dilation in the special weighted functional spaces. We provide some sufficient conditions for the existence of the inversion operator in the same form and consider several examples.