Oscillatory behavior of advanced difference equations with general arguments

Abstract

In this paper, we introduce some oscillation criteria for the first-order advanced difference equations with general arguments ?x(n)- ?m,i=1 pi(n)x (?i(n)) = 0,n? 1, n ? N, where {pi(n)g(i=1,2,...m) are sequences of positive real numbers, {?i(n)}(i=1,2,...,m) are sequences of integers and are not necessarily monotone such that ?i(n)? n (i = 1,2,...,m). An example illustrating the results is also given.