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Article

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Title

On a system of rational difference equations xn+1 = xn–1/ynxn–1–1, yn+1 = yn–1/xnyn–1–1, zn+1 = 1/ynzn–1

Authors

Year of publication

2013

Published in

Fasciculi Mathematici

Journal year: 2013 | Journal number: nr 51

Article type

scientific article

Publication language

english

Keywords
EN
  • system of rational difference equation
  • asymptotical behavior
  • periodicity
Abstract

EN In this paper, we are concerned with a three- dimensional system of rational difference equations. We present solutions of the system in an explicit way and obtain the asymptotical behavior of solutions according to initial values. We also give sufficient conditions of existing four-period solutions.

Pages (from - to)

105 - 114

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

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public

Ministry points / journal

10

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