On the dynamical behaviors and periodicity of difference equation of order three
The major target of our research paper is to demonstrate the boundedness, stability and periodicity of the solutions of the following third- order difference equation
$$
w_{n+1} = \alpha w_{n} +\frac {\beta+ \gamma w_{n_-2} }{\delta+\zeta w_{n-2}} , \;\;\;\; n = 0,1,2,\dots
$$
where $w_{-2}$, $w_{-1}$, and $w_{0} $ are arbitrary real numbers and the values $\alpha$, $\beta$, $\gamma$, $\delta$, and $\zeta$ are defined as positive constants.
Keywords:
Periodicity, Stability Boundedness, Difference equations,
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- ISSN: 1304-7981
- Yayın Aralığı: Yılda 3 Sayı
- Başlangıç: 2012
- Yayıncı: Tokat Gaziosmanpaşa Üniversitesi
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