【摘要】 借助研究时滞微分方程振动性的一般方法 ,建立了一阶具连续变量中立型差分方程Δ[x(t) -p(t)x(t-τ) ]+q(t)x(t-σ) =0解的的振动性的充分条件 ,其中τ,σ为正常数 ,p ,q∈C(R+,R+) ,Δ指步长为τ的向前差分算子 .更多还原

【Abstract】 In this paper, suffcient conditions for the oscillatory and asymptotic behavior of first order neutral difference equations with continuous arguments Δ[x(t)-p(t)x(t-τ)]+q(t)x(t-σ)=0 are established by teachnique of delay differential equations. Where τ,σ>0,p,q∈C(R +,R +), Δx(t)=x(t+τ)-x(t).更多还原