on the global attractivity and the periodic character of a recursive sequence

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ID: 193710
2010
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Abstract
In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence \[x_{n+1} = ax_n + \frac{bx_{n-1}+cx_{n+2}}{dx_{n-1}+ex_{n+2}}, \quad n=0,1,\ldots,\] where the parameters \(a\), \(b\), \(c\), \(d\) and \(e\) are positive real numbers and the initial conditions \(x_{-2}\), \(x_{-1}\), and \(x_0\) are positive real numbers.
Reference Key
elsayed2010opusculaon Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;E. M. Elsayed
Journal zhonghua yi xue za zhi
Year 2010
DOI
http://dx.doi.org/10.7494/OpMath.2010.30.4.431
URL
http://www.opuscula.agh.edu.pl/vol30/4/art/opuscula_math_3032.pdf
Keywords
stability quantitative methods

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