具连续变量的二阶时滞差分方程的振动性

Oscillation for a Class of Second Order Delay Difference Equations with Continuous Arguments

研究一类具有连续变量的二阶时滞差分方程Δτ2x(t)=p(t)x(t-σ),t≥t0>0和Δ2τx(t)=∑mi=1pi(t)x(t-)σi),t≥t0>0的解的振动性,给出了其有界解振动的几个充分条件.

The oscillation of solutions for a class of the second order delay difference equations was studied with continuous argumentsΔt^2x（t）=p（t）x（t-σ）,t≥t0〉0 and Δt^2x（t）=∑i=1mpi（t）x（t-σi）,t≥t0〉0 Some sufficient conditions for bounded oscillation of the solutions of the equations are obtained.