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

Hongmei Bao
2015 International Journal of Differential Equations  
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.
doi:10.1155/2015/679017 fatcat:jzwpkmxhk5fqlobqlqdmif4emy