TY  - JOUR
T1  - On the periodicity of the solution of a rational difference equation
AU  - Alotaibi, A. M.
AU  - Noorani, M. S. M.
AU  - El-moneam, M. A.
PY  - 2019
DA  - August
Y2  - 2019
DO  - 10.31801/cfsuasmas.535865
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 1427
EP  - 1434
VL  - 68
IS  - 2
LA  - en
AB  - In this paper, some cases on the periodicity of the rational difference equationS_{n+1}=S_{n-p}(((aS_{n-q}+bS_{n-r}+cS_{n-s})/(dS_{n-q}+eS_{ n-r}+fS_{n-s}))),are investigated, where a, b, c, d, e, f ∈(0,∞). The initial conditions S_{-p}, S_{-p+1},...,S_{-q},  S_{-q+1},...,S_{-r},  S_{-r+1},...,S_{-s},...,S_{-s+1},...,S₋₁ and S₀ are arbitrary positive real numbers such that p>q>r>s≥0. Some numerical examples are provided to illustrate the theoretical discussion.
KW  - Rational difference equations
KW  - periodicity
KW  - higher-order
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UR  - https://doi.org/10.31801/cfsuasmas.535865
L1  - https://dergipark.org.tr/en/download/article-file/663804
ER  -