Open Access

Generalized Zeros of Symplectic Difference System and of Its Reciprocal System

Advances in Difference Equations20112011:571935

https://doi.org/10.1155/2011/571935

Received: 1 November 2010

Accepted: 3 January 2011

Published: 13 January 2011

Abstract

We establish a conjugacy criterion for a symplectic difference system by means of the concept of a phase of any basis of this symplectic system. We also describe a construction of a symplectic difference system whose recessive solution has the prescribed number of generalized zeros in .

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Authors’ Affiliations

(1)
Department of Mathematics and Statistics, Masaryk University
(2)
Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology

Copyright

© O. Došlý and Š. Pechancová. 2011

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.