On the Solution of Some Difference Equations

Authors

  • Elsayed M. Elsayed Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, EGYPT

Keywords:

difference equations, recursive sequences, periodic solution.

Abstract

We  obtain in this paper the solutions of the following difference equations

 x_{n+1}=((x_{n-3})/(±1±x_{n-1}x_{n-3})),n=0,1,...,

where the initial conditions are arbitrary nonzero real numbers.

Author Biography

  • Elsayed M. Elsayed, Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, EGYPT
    Mathematics Department,
    Faculty of Science,
    Mansoura University,
    Mansoura 35516,
    EGYPT

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Published

2011-08-09

Issue

Vol. 4 No. 3: (July 2011)

Section

Differential Equations

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How to Cite

On the Solution of Some Difference Equations. (2011). European Journal of Pure and Applied Mathematics, 4(3), 287-303. https://www.ejpam.com/index.php/ejpam/article/view/700