On the recursive sequence Xn = axn-1+bxn-2/c+dxn-1xn-2

Yang, X. F., Su, W. F., Chen, B., Megson, G. M. and Evans, D. J. (2005) On the recursive sequence Xn = axn-1+bxn-2/c+dxn-1xn-2. Applied Mathematics and Computation, 162 (3). pp. 1485-1497. ISSN 0096-3003 doi: 10.1016/j.amc.2004.03.023

Abstract/Summary

In this Paper, we study the invariant intervals, the global attractivity of the equilibrium points, and the asymptotic behavior of the solutions of the difference equation x(n) = ax(n-1) + bx(n-2) / c + dx(n-1)x(n-2), n =1, 2, ..., where a greater than or equal to 0, b, c, d > 0. (C) 2004 Elsevier Inc. All rights reserved.