Solution and Attractivity for a Rational Recursive Sequence

E. M. Elsayed

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-17

Abstract:

This paper is concerned with the behavior of solution of the nonlinear difference equation ð ‘¥ ð ‘› + 1 = ð ‘Ž ð ‘¥ ð ‘› − 1 + ð ‘ ð ‘¥ ð ‘› ð ‘¥ ð ‘› − 1 / ( ð ‘ ð ‘¥ ð ‘› + ð ‘‘ ð ‘¥ ð ‘› − 2 ) , ð ‘› = 0 , 1 , … , where the initial conditions ð ‘¥ − 2 , ð ‘¥ − 1 , ð ‘¥ 0 are arbitrary positive real numbers and ð ‘Ž , ð ‘ , ð ‘ , ð ‘‘ are positive constants. Also, we give specific form of the solution of four special cases of this equation.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:982309

DOI: 10.1155/2011/982309

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