Advances in Difference Equations

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On difference equation with generalized dilation

Advances in Difference Equations20062006:027512

https://doi.org/10.1155/ADE/2006/27512

©  Pavel Plaschinsky. 2006

Received: 22 July 2004

Accepted: 27 January 2005

Published: 8 February 2006

Abstract

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.

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Authors’ Affiliations

(1)
Faculty of Mathematics and Mechanics, Belarusian State University

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Copyright

© Pavel Plaschinsky. 2006

This article is published under license to BioMed Central Ltd. 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.