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 del x(n) = Sigma(m)(i=1)p(i)(n)x(tau(i)(n)) = 0, n >= 1, n is an element of N, where {p(i)(n)}(i = 1, 2, . . ., m) are sequences of positive real numbers, {tau(i)(n)}(i = 1, 2, . . ., m) are sequences of integers and are not necessarily monotone such that tau(i)(n) >= n (i = 1, 2, . . ., m). An example illustrating the results is also given.