Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Forbidden Set of the Rational Difference Equation $x_{n+1} = x_n
  x_{n-k}/(ax_{n-k+1} +x_n x_{n-k+1} x_{n-k})$   This short note aims to answer one of the open problems raised by F. Balibrea
and A. Cascales in \cite{bc}. In particular, the forbidden set of the nonlinear
difference equation $x_{n+1} = x_n x_{n-k}/(ax_{n-k+1} +x_n x_{n-k+1}
x_{n-k})$, where $k$ is a positive integer and $a$ is a positive constant, is
found by first computing the closed form solution of the given equation.
Additional results regarding the limiting properties and periodicity of its
solutions are also discussed. Numerical examples are also provided to
illustrate the exhibited results. Lastly, a possible generalization of this
present work is offered as an open problem.

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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
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The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th