An improved product type oscillation test for partial difference equations

Başak Karpuz and Büşra Özsavaş

Applied Mathematics and Computation, 2021, vol. 391, issue C

Abstract: We present new oscillation tests for the PΔEau(m+1,n)+bu(m,n+1)−cu(m,n)+p(m,n)u(m−τ,n−σ)=0,m,n=0,1,⋯,where a, b, c ∈ (0, ∞) and τ, σ ∈ {0, 1, ⋅⋅⋅}, and {p(m, n)} ⊂ [0, ∞). Our main result improves some of the well-known results in the literature. We also present a numerical example, where all the previous results in the literature fail to deliver an answer.

Keywords: Partial difference equations; Oscillation; Nonoscillation (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:391:y:2021:i:c:s009630032030583x

DOI: 10.1016/j.amc.2020.125629

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