2-D离散Logistic偏差分方程非振动正解的存在性(英文)

Existence of nonoscillation solutions of 2-D discrete Logistic equation

研究2-D离散Logistic偏差分方程xm+1,n+xm,n+1=αxmn+bxmn1+xpm-τ,n-σ,m,n=0,1,2,…,其中0<a<2<a+b,p∈(0,∞)且τ,σ是非负整数.建立了此方程存在关于正平衡点的非振动解的一个充分条件.

Consider the 2 - D discrete Logistic equation x（m＋1,n）＋x（m,n＋1）=αxmn＋（bxmn/1＋x^p（m-τ,n-σ））,m,n=0,1,2,… , where 0〈α〈2〈α＋b,p∈（0,∞） and τ,σ are nonnegative integers. A sufficient condition for the nonoscillation solution of this equation about positive equilibrium point to exist is derived.