Oscillation of a Class of Neutral Difference Equations of First Order

摘要

Sufficient conditions are obtained for oscillation of all solutions (or all bounded solutions) of first order neutral difference equations of the form Δ(y_n+p_ny_(n-m))+q_nG(y_(n-k)=f_n, n ≥ 0~* and Δ(y_n+p_ny_(n-m))+q_nG(y_(n-k)=0, n ≥ 0~(*,*). In results concerning Eq. (*). G could be sublinear or linear or superlinear. However, most of our results concerning Eq. (**) hold for sublinear or linear G. For Eqs. (*) and (**), various ranges of {p_n} are considered.