On the oscillation of certain fourth-order differential equations with p-Laplacian like operator

Omar Bazighifan

Applied Mathematics and Computation, 2020, vol. 386, issue C

Abstract: The aim of this work is to study the oscillatory properties of the solutions of fourth-order delay differential equations with a p-Laplacian like operator of the form(r(ν)|w″′(ν)|p1−2w″′(ν))′+q(ν)|w(η(ν))|p2−2w(η(ν))=0.The results obtained are based on the comparison with first and second-order differential equations and the use of a Riccati transformation. Some examples are provided to illustrate the main results.

Keywords: Fourth-order; Differential equation; Oscillation; p-Laplacian equation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320304343

DOI: 10.1016/j.amc.2020.125475

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