The almost everywhere oscillations of the stochastic difference equation Δ~2x(n) + f(n)F(x(n)) = ξ(n+2)

摘要

In this paper the author discusses the almost everywhere oscillations of solutions of the following equation: Δ~2x(n)+f(n)F(x(n))=ξ(n+2), n=0,1,2,… First, we establish a result in the form of Iterated Logarithm Law. And then, we obtain the sufficient conditions of almost everywhere oscillations for the equation above.