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Oscillatory behavior of advanced difference equations with general arguments

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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 (τi(n)) = 0, n ≥ 1, n… Click to show full 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 (τi(n)) = 0, n ≥ 1, n ∈N, where {pi(n)}(i = 1, 2, . . . ,m) are sequences of positive real numbers, {τi(n)}(i = 1, 2, . . . ,m) are sequences of integers and are not necessarily monotone such that τi(n) ≥ n (i = 1, 2, . . . ,m). An example illustrating the results is also given.

Keywords: difference equations; general arguments; equations general; advanced difference; oscillatory behavior

Journal Title: Filomat
Year Published: 2020

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