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

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

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