Dynamical Behavior of a System of Second-Order Nonlinear Difference Equations

摘要

This paper is concerned with local stability, oscillatory character of positive solutions to the system of the two nonlinear difference equationsxn+1=A+xn-1p/ynpandyn+1=A+yn-1p/xnp,n=0,1,…, whereA∈(0,∞),p∈[1,∞),xi∈(0,∞), andyi∈(0,∞),i=-1,0.