一阶中立型差分方程的振动性

Oscillation of first-order neutral difference equation

研究了一阶中立型差分方程Δ[x(n)-px(n-)τ]+qx(n-)σ=0的振动性,其中p∈(0,1),q,τ,σ是正常数,利用适当的不等式和特征方程,建立了方程解的新振动准则.

The oscillation of the first order neutral difference equation △[x（n）-px（n-τ）]＋qx（n-σ）=0 is studied in this paper, where P∈（0,1）,q,τ,σ, r, a are positive constants. The sufficient conditions for oscillation of the equation is obtained by suitable inequality and characteristic equation.