广义的Riccati变换和二阶非线性差分方程的振荡性

Qeneralized Riccati Transformation and the Oscillation Properties of Second - order Unlinear Difference Equations

本文主要讨论一类二阶非线性差分方程Δ(C_(n-1)ΔX_(n-1))+qnf(x_n)=0的振荡性。应用广义的Riccati变换,得到了方程的振荡准则。

This paper focuses on the oscillation properties of second - order unlinear difference equations: By using the generalized Riccati transformations,we can get the oscillation criterions of the equations.