On the global attractivity and the periodic character of a recursive sequence
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 an...
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Format: | Article |
Language: | English |
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AGH Univeristy of Science and Technology Press
2010-01-01
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Series: | Opuscula Mathematica |
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Online Access: | http://www.opuscula.agh.edu.pl/vol30/4/art/opuscula_math_3032.pdf |