On the Recursive Sequence xn + 1 = alpha + (beta xn - 1)/(1 + g(xn))

Authors: Chang D-C.1; Stevic´ S.2

Source: Applicable Analysis, Volume 82, Number 2, 2003 , pp. 145-156(12)

Publisher: Taylor and Francis Ltd

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Abstract:

We investigate the boundedness character, the oscillatory and periodic nature and global attractivity of the nonnegative solutions of the difference equation where the parameters alpha and beta are nonnegative real numbers and g(x) is a continuous function on [0, infin), which satisfies some additional conditions.

Keywords: Global stability; Period two solution; Difference equation; Boundedness; Converge

Document Type: Research article

DOI: 10.1080/0003681031000063810

Affiliations: 1: Department of Mathematics, Georgetown University, Washington D.C., 20057, USA 2: Matematiccaronki Fakultet, Studentski Trg 16, 11000 Beograd, Serbia, Yugoslaviaki Fakultet, Studentski Trg 16, 11000 Beograd, Serbia, Yugoslavia">

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