摘要
本文研究了拟线性中立型差分方程 △(x<sub>n</sub>-x<sub>n-k</sub><sup>α</sup>+q<sub>n</sub>X<sub>n-1</sub><sup>α</sup>=0 n=0,1,2,….正解存在性,其中q<sub>n</sub>≥0,n=0,l,2…,k】0和1都是非负整数,α为两正奇数之商。获得了该方程存在k-单调正解一些显著的充分条件。
In this paper, We Consider Quasilinear neutral difference Equation△(xn-xn-k)a+qnxn-ta=0,1,2,...Where qn≥0 forn = 0,l,2,...,k>0 and 1 are nongative integers, σ<α= p/q and p.q are odd integers. some explicit sufficient Conditions for existence of k - monotone positive solutions of the difference equation are obtained.
出处
《郴州师范高等专科学校学报》
1999年第4期44-46,共3页
Journal of Chenzhou Teachers College
关键词
差分方程
中立型
拟线性
k-单调正解
充分条件
defiierence equation,neutral type,quasilinear,K- monotone positive solution
