时标上二阶中立型差分方程的振动准则

Oscillation Criteria for Second-order Neutral Delay Dynamic Equations on Time Scales

通过里卡蒂变换,对二阶时滞差分方程(r(t)ψ(x(t))|Z△(t)|γ-1Z△(t))△+q(t)f(x(τ(t)))=0建立了在时标T上的振动准则,其中γ≥1是一个正奇数,Z(t)=x(t)+p(t)x(δ(t)),r(t),p(t)和q(t)是T上右稠连续函数。

By means of Riccati transformation technique,we establish some new oscillation criteria for the second-order neutral delay dynamic equations(r(t)ψ(x(t))|Z△(t)|γ-1Z△(t))△+q(t)f(x(τ(t)))=0 on a time scale T,where γ≥1 is an odd positive integer and Z(t)=x(t)+p(t)x(δ(t)),r(t),p(t) and q(t) are right-continuous functions defined on T.