Solvability of nonlinear difference equations of fourth order

In this article we show the existence of solutions to the nonlinear difference equation $$ x_n=\frac{x_{n-3}x_{n-4}}{x_{n-1}(a_n+b_nx_{n-2}x_{n-3}x_{n-4})}, \quad n\in\mathbb{N}_0, $$ where the sequences $(a_n)_{n\in\mathbb{N}_0}$ and $(b_n)_{n\in\mathbb{N}_0}$, and initial the values $x_{-j}...

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Bibliographic Details
Main Authors: Stevo Stevic, Josef Diblik, Bratislav Iricanin, Zdenek Smarda
Format: Article
Language:English
Published: Texas State University 2014-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/264/abstr.html