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

Authors: Chang D-C.1; SteviCacute 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 $$ x_{n + 1} = alpha + {{beta x_{n - 1} } over {1 + g(x_n )}}, $$ 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: 10.1080/000368103763297447

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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