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국가지식-학술정보

On the Solution of Fourth-Order Rational Recursive Sequence

On the Solution of Fourth-Order Rational Recursive Sequence

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In this paper we study the behavior of the solutions of the di¤erence equa-tion xn+1 = axn + bxnxn-3/cxn-2 + dxn-3, n = 0, 1, ... where the initial conditions x-3, x-2, x-1, x0 are arbitrary positive real num-bers and a, b, c, d are positive constants: Also, we give the solution of some special cases of this equation.

In this paper we study the behavior of the solutions of the di¤erence equa-tion xn+1 = axn + bxnxn-3/cxn-2 + dxn-3, n = 0, 1, ... where the initial conditions x-3, x-2, x-1, x0 are arbitrary positive real num-bers and a, b, c, d are positive constants: Also, we give the solution of some special cases of this equation.

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