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  • Research Article
  • Open Access

Generalized Zeros of Symplectic Difference System and of Its Reciprocal System

Advances in Difference Equations20112011:571935

  • Received: 1 November 2010
  • Accepted: 3 January 2011
  • Published:


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 .


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation

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Authors’ Affiliations

Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37 Brno, Czech Republic
Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, Žižkova 17, 602 00 Brno, Czech Republic


© 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.