On the recursive sequence x n + 1 = α + x n − 1 x n

Alaa E. Hamza

doi:10.1016/j.jmaa.2005.09.029

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On the recursive sequence x n + 1 = α + x n − 1 x n

Journal article

Peer reviewed

On the recursive sequence x n + 1 = α + x n − 1 x n

Alaa E. Hamza

Journal of mathematical analysis and applications, Vol.322(2), pp.668-674

10/2006

DOI: https://doi.org/10.1016/j.jmaa.2005.09.029

Abstract

Difference equations

Oscillation

Stability

In this paper we study the global stability, the permanence, and the oscillation character of the recursive sequence x n + 1 = α + x n − 1 x n , n = 0 , 1 , … , where α is a negative number and the initial conditions x −1 and x 0 are negative numbers.

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Title: On the recursive sequence x n + 1 = α + x n − 1 x n
Creators - without role: Alaa E. Hamza - Cairo University
Publication Details: Journal of mathematical analysis and applications, Vol.322(2), pp.668-674
Publisher: Elsevier Inc
Identifiers: 9933433108331
Academic Unit: University of Jeddah
Language: English
Resource Type: Journal article