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ON THE GLOBAL ATTRACTIVITY AND THE PERIODIC CHARACTER OF A RECURSIVE SEQUENCE
Journal article   Open access  Peer reviewed

ON THE GLOBAL ATTRACTIVITY AND THE PERIODIC CHARACTER OF A RECURSIVE SEQUENCE

E. M. Elsayed
Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica, Vol.30(4), pp.431-446
01/01/2010
DOI: https://doi.org/10.7494/OpMath.2010.30.4.431

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence x(n+1) = ax(n) broken vertical bar bx(n-1) + cx(n-2) / dx(n-1) broken vertical bar cx(n-2), n = 0, 1,..., where the parameters a, b, c, d and e are positive real numbers and the initial conditions x(-2), x(-1) and x0 are positive real numbers.
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https://doi.org/10.7494/OpMath.2010.30.4.431View
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