Title: Oscillation of delay difference equations with finite non-monotone arguments

Authors: Limei Feng; Zhenlai Han

Addresses: School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China ' School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China

Abstract: In this paper, the oscillation of difference equations with multiple non-monotone delay arguments
∆x(t) + m ∑ i=1 p_i(t)x(τ_i(t)) = 0, t ∈ ℕ is studied. Three criteria of these equations are obtained for oscillation. And examples are given to show the meanings of the theorems.

Keywords: difference equation; non-monotone delay argument; oscillatory solution.

DOI: 10.1504/IJDSDE.2020.112759

International Journal of Dynamical Systems and Differential Equations, 2020 Vol.10 No.6, pp.537 - 552

Received: 03 Aug 2018
Accepted: 29 Mar 2019
Published online: 02 Feb 2021 *

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