Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Attractivity of the Equilibrium of a Difference Equation: An
  Elementary Proof Assisted by Computer Algebra System   Let $p$ and $q$ be arbitrary positive numbers. It is shown that if $q < p$,
then all solutions to the difference equation \tag{E} x_{n+1} = \frac{p+q
x_n}{1+x_{n-1}}, \quad n=0,1,2,..., \quad x_{-1}>0, x_0>0 converge to the
positive equilibrium $\overline{x} = {1/2}(q-1 + \sqrt{(q-1)^2 + 4 p})$.
\medskip
  The above result, taken together with the 1993 result of Koci\'c and Ladas
for equation (E) with $q \geq p$, gives global attractivity of the positive
equilibrium of (E) for all positive values of the parameters, thus completing
the proof of a conjecture of Ladas.

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The categories of this paper are: atom-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph