摘要：We investigate the local and global character of the equilibrium and the local stability of the period-two solution of the difference equation x n + 1 = β x n x n − 1 + γ x n − 1 2 + δ x n B x n x n − 1 + C x n − 1 2 + D x n where the parameters β, γ, δ, B, C, D are nonnegative numbers which satisfy B + C + D > 0 and the initial conditions x − 1 and x 0 are arbitrary nonnegative numbers such that B x n x n − 1 + C x n − 1 2 + D x n > 0 for all n ≥ 0 . MSC:39A10, 39A11, 39A30.
关键词：boundedness ; difference equation ; global attractivity ; local stability ; period-two solutions
