Well-defined solutions of the bilinear difference equation are represented in terms of
generalized Fibonacci sequences and the initial value. Our results extend and give natural …

A representation formula for the general solution to a higher‐order rational difference
equation has been given recently in this journal. The formula was proved by the method of …

We show that the system of three difference equations xn+ 1= an (1) xn-2/(bn (1) ynzn-1 xn-
2+ cn (1)), yn+ 1= an (2) yn-2/(bn (2) znxn-1 yn-2+ cn (2)), and zn+ 1= an (3) zn-2/(bn (3) …

On a third-order system of difference equations - ScienceDirect Skip to main contentSkip to
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Full article: Global behaviour of a second-order nonlinear difference equation Skip to Main
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SOLVABILITY OF A CLOSE TO SYMMETRIC SYSTEM OF DIFFERENCE EQUATIONS 1.
Introduction Various types of nonlinear difference equatio Page 1 Electronic Journal of …

We show that the system of difference equationswhere the sequences an, bn, cn, αn, βn, γn,
n∈ N0, and initial values xi, yi, i∈{1, 2, 3} are real numbers, such that cn≠ 0, γn≠ 0, n∈ …

On the difference equation xn = xn−2/(bn + cnxn−1xn−2) - ScienceDirect Skip to main
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We represent general solution to a homogeneous linear difference equation of second order
in terms of a specially chosen solution to the equation and apply it to get a representation of …

We present some solvable subclasses of the class of nonlinear second-order difference
equations of the form A xn+ 1+ B xn+ 1 xn+ C xn xn-1+ G xn+ 1 xn-1+ D xn+ E xn-1+ F= 0 …