二阶时滞差分方程的振动性

Oscillation of Second Order Delay Difference Equations

建立了二阶非线性差分方程Δ２ｙｎ＋Ｐｎｆ（ｙｎ－ｋ）＝０的一些新的振动定理。其中Δｙｎ＝ｙｎ＋１－ｙｎ是差分算子，ｋ为非负整数，｛Ｐｎ｝是非负实数序列，ｆ是Ｒ＝（－∞。

Some new oscillation criteria for the second order nonlinear delay difference equations Δ 2y n+P nf(y n-k )=0 are established. Here Δ y n=y n+1 -y n is difference operator, k is nonnegative integers, { P n } is a sequence of nonnegative real numbers and f is continuous on R=(-∞,∞).