Advanced Studies in Contemporary Mathematics

Jangjeon Mathematical Society (장전수학회)
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On the Solution of Fourth-Order Rational Recursive Sequence

Agarwal, R.P.;Elsayed, E.M.

  • Published : 20101000
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Abstract

In this paper we study the behavior of the solutions of the difference equation $x_{n+1}\;=\;ax_n\;+\;\frac{bx_nx_{n-3}}{cx_{n-2}\;+\;dx_{n-3}}$, n = 0, 1, ... where the initial conditions $x_{-3},\;x_{-2},\;x_{-1},\;x_0$ are arbitrary positive real numbers and a, b, c, d are positive constants. Also, we give the solution of some special cases of this equation.

Keywords

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