No abstract

No abstract

ourn~~l OJ UtJjercmc L .~u # J ! u~~ 0#8d A~,~L u~~L v I~. IW8. Vol. 4. pp. 315-323Rcprinls available directly from the publisher Photocopying permitted by license only I IV'\ l l t ! l ,,, ,, \ "In this paper we investigate the persistence, the oscillatory behavior and the periodic nature of solutions of a system of two nonlinear difference equations.

We consider the following system of Lyness-type difference equations: x 1 (n + 1) = (a k x k (n) + b k)/x k−1 (n − 1), x 2 (n + 1) = (a 1 x 1 (n) + b 1)/x k (n − 1), x i (n + 1) = (a i−1 x i−1 (n) + b i−1)/x i−2 (n − 1), i = 3,4,...,k, where a i , b i , i = 1,2,...,k, are positive constants, k ≥ 3 is an integer, and the initial values are positive real numbers. We study the existence of invariants, the boundedness, the persistence, and the periodicity of the positive solutions of this system.

View related articlesCiting articles: 8 View citing articles J m r n d cfD&rrncc 5p:q;io:ions and AppIi

No abstract

No abstract

No abstract