二阶非线性差分方程的振动性定理

Oscillation Theorems for Second Order Damped Nonlinear Difference Equations

给出了二阶非线性时滞差分方程Δ(anΔyn)+pnΔyn+qn+1f(yn+1)=0,n=0,1,2,…和Δ(anΔyn)+pnΔyn+qn+1f(yσ(n+1))=0,n=0,1,2,…的振动性的新的判定准则,补充了某些已有振动准则.

Some new criteria for the oscillation of the nonlinear second order difference equations with damped term △（αn△yn）＋pn△yn＋qn＋1f（yn＋1）=0,n=0,1,2,… and △（αn△yn）＋pn△yn＋qn＋1f（yσ（n＋1））=0,n=0,1,2,…are studied. Our theorems complement some known oscillation criteria. Examples are given for illustrative purpose.