Periodicity and stability of solutions of higher order rational difference equation

다국어 초록 (Multilingual 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.

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