Oscillatory Behavior of Advanced Difference Equations with General Arguments

Abstract

In this paper, we obtain some oscillation criteria for the first-order advanced difference equations with general arguments ∇x(n)-∑_{i=1}^{m}p_{i}(n)x(τ_{i}(n))=0, n≥1∈N,where {p_{i}(n)}(i=1,2,…,m) are sequences of positive real numbers, {τ_{i}(n)}(i=1,2,…,m) are sequences integers and are not necessarily monotone such that τ_{i}(n)≥n. An example illustrating the results is also given.