Comparative index for solutions of symplectic difference systems
type: Item
instance of: scholarly article
title: Comparative index for solutions of symplectic difference systems
zbMATH Open document ID: 1182.39007
DOI: 10.1134/S0012266109030148
author: Yu. V. Eliseeva
published in: Differential Equations
publication date: 2009-10-08T00:00:00Z
review text: The author introduces the comparative index of two conjoined bases of a symplectic difference system, which generalizes difference analogs of canonical systems of differential equations. So, it considers the main properties of the comparative index and its relation to the number of focal points of a conjoined basis of the symplectic system.
reviewed by: Hussain A. El-Saify
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 37A60
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 5611163
zbMATH Keywords: comparative index
zbMATH Keywords: symplectic difference systems
zbMATH Keywords: canonical systems of differential equations
MaRDI profile type: Publication
cites work: Disconjugacy and transformations for symplectic systems
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cites work: Actions with a finite number of orbits
cites work: Q4338982
cites work: Discrete Sturmian theory
cites work: Discrete Oscillation
cites work: Q5700951
cites work: A Sturmian separation theorem for symplectic difference systems
cites work: Q4941608
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description: scientific article; zbMATH DE number 5611163