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Periodicity and stability of solutions of higher order rational difference equation

E. M. Elsayed|R. P. Agarwal
장전수학회 (Jangjeon Mathematical Society)|2008.10|Advanced Studies in Contemporary Mathematics|제17권 제2호|pp. 181-201

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참고문헌

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stabilityDifference equationsperiodicity
주제분류수학

초록

In this paper we shall study qualitative behavior of solutions of the difference equation xn+1 = a + dxn−lxn−k b − cxn−s, n = 0, 1, · · · where a, b, c, d are positive constants. In what follows we shall assume that the initial conditions x−r, x−r+1, x−r+2, · · · , x0 are given arbitrary positive real numbers, and xi 6= b/c for i = −r, −r + 1, · · · , 0, where r = max{l, k, s} is a nonnegative integer. We shall also study three special cases of this equation.

Abstract

In this paper we shall study qualitative behavior of solutions of the difference equation xn+1 = a + dxn−lxn−k b − cxn−s, n = 0, 1, · · · where a, b, c, d are positive constants. In what follows we shall assume that the initial conditions x−r, x−r+1, x−r+2, · · · , x0 are given arbitrary positive real numbers, and xi 6= b/c for i = −r, −r + 1, · · · , 0, where r = max{l, k, s} is a nonnegative integer. We shall also study three special cases of this equation.

참고문헌 (21)

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