On the Difference Equation 𠑥 𠑛 + 1 = 𠛼 + 𠑥 𠑛 − 𠑚 / 𠑥 𠑘 𠑛

İbrahim Yalçinkaya

Discrete Dynamics in Nature and Society, 2008, vol. 2008, 1-8

Abstract:

We investigate the global behaviour of the difference equation of higher order 𠑥 𠑛 + 1 = 𠛼 + 𠑥 𠑛 − 𠑚 / 𠑥 𠑘 𠑛 , 𠑛 = 0 , 1 , … , where the parameters 𠛼 , 𠑘 ∈ ( 0 , ∞ ) and the initial values 𠑥 − 𠑚 , 𠑥 − ( 𠑚 − 1 ) , … , 𠑥 − 2 , 𠑥 − 1 , and 𠑥 0 are arbitrary positive real numbers.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:805460

DOI: 10.1155/2008/805460

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