高阶非线性中立型差分方程组多正解的一个存在定理

An existence theorem of multiple positive solutions for higher order nonlinear neutral system of difference equations

利用范数形式的锥拉伸与锥压缩不动点定理,得到了高阶非线性中立型差分方程组Δnxi(k)+pi(k)fi(x1(k-iτ1),…,xm(k-iτm))=0,k∈N,i=1,2,…,m多正解的存在性准则.

An existence criteria for multiple positive solutions of higher order nonlinear neutral system of difference equations was obtained by using a fixed point theorem of cone expansion and cone pression of norm type.Δ^nxi（k）＋pi（k）fi（x1（k-τi1）,…,xm（k-τim））=0,k∈N,i=1,2,…,m